Read This!

The MAA Online Book review column

Index to All Book Reviews
by Author

• AAAS "Project 2061", Blueprints for Reform, Reviewed by Joel S. Foisy
  
• Aaboe, Asger, Episodes from the Early History of Astronomy. Reviewed by Tom Brennan
  
• Abbott, Stephen D., Understanding Analysis. Reviewed by Steve Kennedy
  
• Acheson, David, 1089 and All That: A Journey into Mathematics. Reviewed by Teri J. Murphy and Henry J. Neeman
  
• Acheson, David, From Calculus to Chaos. Briefly noted.
  
• Adam, John A., Mathematics in Nature. Reviewed by Steven Morics
  
• Adams, Colin, Why Knot? An Introduction to the Mathematical Theory of Knots. Reviewed by Philip D. Straffin
  
• Adams, Colin, Abigail Thompson, and Joel Hass, How to Ace Calculus: The Streetwise Guide, Reviewed by Steve Benson
  
• Adams, Colin, Abigail Thompson, and Joel Hass, How to Ace the Rest of Calculus: The Streetwise Guide. Reviewed by Kevin Anderson
  
• Aigner, Martin, and Günter M. Ziegler, Proofs from THE BOOK, reviewed by Mary Shepherd
  
• Albert, Jim, Teaching Statistics Using Baseball. Reviewed by Steven Morics
  
• Albert, Jim, and Jay Bennet, Curve Ball: Baseball, Statistics, and the Role of Chance in the Game. Reviewed by J. Kevin Colligan
  
• Albert, Jim and Jay Bennett and James J. Cochran, Anthology of Statistics in Sports. Briefly noted
  
• Albree, Joe, David C. Arney, and V. Frederick Rickey, A Station Favorable to the Pursuits of Science: Primary Materials in the History of Mathematics at the United States Military Academy. Briefly noted.
  
• Alexanderson, Gerald L., The Random Walks of George Pólya. Reviewed by Manav Das
  
• Allman, Elizabeth S., and John A. Rhodes, Mathematical Models in Biology: An Introduction. Reviewed by Judy Holdener
  
• Altmann, Simon and Eduardo L. Ortiz, eds., Mathematics and Social Utopias in France: Olinde Rodrigues and His Times. Reviewed by David M. Bressoud
  
• Andersen, Janet and Todd Swanson, Understanding Our Quantitative World. Reviewed by William J. Satzer
  
• Anderson, Marlow, and Todd Feil, A First Course in Abstract Algebra: Rings, Groups, and Fields. Briefly noted
  
• Anderson, Marlow and Victor Katz, and Robin Wilson, eds., Sherlock Holmes in Babylon and Other Tales of Mathematical History . Reviewed by Darren Glass
  
• Andreescu, Titu and Oleg Mushkarov and Luchezar Stoyanov, Geometric Problems on Maxima and Minima. Reviewed by Henry Ricardo
  
• Andreescu, Titu, and Bogdan Enescu, Mathematical Olympiad Treasures. Briefly noted
  
• Andreescu, Titu, and Razvan Gelca, Mathematical Olympiad Challenges. Reviewed by Herbert E. Kasube
  
• Andreescu, Titu, and Zuming Feng, A Path to Combinatorics for Undergraduates: Counting Strategies. Briefly noted
  
• Andreescu, Titu, and Zuming Feng, Mathematical Olympiads 1998-1999. Reviewed by Carl D. Mueller
  
• Andreescu, Titu, and Zuming Feng, Mathematical Olympiads: Problems and Solutions From Around the World, 1999-2000. Reviewed by Mihaela Poplicher
  
• Andreescu, Titu and Zuming Feng and George Lee Jr., Mathematical Olympiads: Problems and Solutions from Around the World, 2000-2001. Briefly noted
  
• Andreescu, Titu, and Zuming Feng, USA and International Mathematical Olympiads 2000. Briefly noted.
  
• Andreescu, Titu, and Zuming Feng, USA and International Mathematical Olympiads 2001. Briefly noted.
  
• Andriesse, C. D., Huygens: The Man Behind the Principle. Reviewed by Steven Frankel
  
• Apostol, Tom M., Early History of Mathematics. Reviewed by David Graves
  
• Apostol, Tom M., Ten Mathematical Acrostics For People Who Are Amused by Words. Briefly noted.
  
• Arndt, Jörg, and Christoph Haenel, Pi Unleashed. Reviewed by Carl D. Mueller
  
• Arney, David C., editor, Interdisciplinary Lively Application Projects (ILAPs), Reviewed by Ed Sandifer
  
• Arnez, A., K. Polthier, M. Steffens, and C. Teitzel, Touching Soap Films: An Introduction to Minimal Surfaces (Springer VideoMATH). Reviewed by Mark McKibben
  
• Arnold, V., M. Atiyah, P. Lax, and B. Mazur, eds., Mathematics: Frontiers and Perspectives. Reviewed by David P. Roberts
  
• Artmann, Benno, Euclid: the Creation of Mathematics, Reviewed by Stacy G. Langton
  
• Artin, Emil, Algebraic Numbers and Algebraic Functions. Reviewed by Fernando Q. Gouvêa
  
• Artzt, Alice F., and Eleanor Armour-Thomas, Becoming a Reflective Mathematics Teacher: A Guide for Observations and Self-Assessment. Reviewed by Rick Seaman
  
• Ascher, Marcia, Mathematics Elsewhere. Reviewed by Charles Ashbacher
  
• Ash, Avner, and Robert Gross, Fearless Symmetry: Exposing the Hidden Patterns of Numbers. Reviewed by Darren Glass
  
• Ash, Robert, A Primer of Abstract Mathematics, Reviewed by Steven Morics
  
• Ashbacher, Charles, Pluckings from the Tree of Smarandache Sequences and Functions. Briefly Noted.
  
• Assayag, Gérard, Hans Georg Feichtinger, and José Francisco Rodrigues, editors, Mathematics and Music: A Diderot Mathematical Forum. Reviewed by Leon Harkleroad
  
• Atanassova, Krassimir, Vassia Atanassova, Anthony Shannon and John Turner, New Visual Perspectives on Fibonacci Numbers. Briefly noted
  
• Ayoub, Raymond G., ed., Musings of the Masters: An Anthology of Mathematical Reflections. Reviewed by Annalisa Crannell
  
• Babich, Amy and Laura Person, Write Your Own Proofs: In Set Theory and Discrete Mathematics. Reviewed by James Hamblin
  
• Bais, Sander, The Equations: Icons of Knowledge. Reviewed by David M. Bressoud
  
• Baker, Andrew, Matrix Groups: An Introduction to Lie Group Theory. Reviewed by David P. Roberts
  
• Baker, Roger and Charles Christenson and Henry OrdeBernhard Riemann, Collected Papers. Reviewed by Fernando Q. Gouvêa
  
• Ball, Keith, Strange Curves, Counting Rabbits, and other Mathematical Explorations. Reviewed by Stacy G. Langton
  
• Banks, H. T. and Carlos Castillo-Chavez, Bioterrorism: Mathematical Modeling Applications in Homeland Security. Reviewed by Raymond N. Greenwell
  
• Bannan, David. A., Matthew F. Esplen, and Jeremy J. Gray, Geometry, Reviewed by J. I. Hall
  
• Barbeau, Edward J. Mathematical Fallacies, Flaws, and Flimflam. Briefly noted.
  
• Barbeau, Ed, Power Play, Reviewed by David Graves
  
• Barrow, John D., Between Inner Space and Outer Space. Briefly noted.
  
• Bashmakova, Isabella, and Galina Smirnova, The Beginnings and Evolution of Algebra, Reviewed by G. L. Alexanderson
  
• Bashmakova, Isabella Grigoryevna, Diophantus and Diophantine Equations, Reviewed by David Graves
  
• Bateman, Paul T., and Harold G. Diamond, Analytic Number Theory: An Introductory Course. Briefly noted.
  
• Batterson, Steve, Stephen Smale: The Mathematician Who Broke the Dimension Barrier. Reviewed by Shirley B. Gray
  
• Baxter, Stephen, Manifold: Time. Briefly noted.
  
• Beardon, Alan F., Algebra and Geometry. Reviewed by Stephen Ahearn
  
• Becchi, Antonio et. al., eds., Essays on the History of Mechanics. Briefly noted
  
• Beck, Anatole, Michael N. Bleicher, and Donald W. Crowe, Excursions into Mathematics, Millennium Edition. Briefly noted.
  
• Beckman, Bengt, Codebreakers: Arne Beurling and the Swedish Crypto Program During World War II. Reviewed by Donald L. Vestal
  
• Beeley, Philip and Christoph Scriba, eds., Correspondence of John Wallis (1616–1703), Volume I (1641–1659). Briefly noted
  
• Bekken, Otto B., and Reidar Mosvold, eds., Study the Masters: The Abel-Fauvel Conference. Reviewed by Victor J. Katz
  
• Benjamin, Arthur T., and Jennifer J. Quinn, Proofs that Really Count. Reviewed by Darren Glass
  
• Bennett, Curtis D., and Annalisa Crannell, Starting Our Careers, Reviewed by George L. Ashline
  
• Bennett, Deborah, Logic Made Easy: How to Know When Language Deceives You. Reviewed by Robert S. Wolf
  
• Bennett, Deborah J., Randomness,Reviewed by Randall J. Swift
  
• Bennett, M. A. et al, Surveys in Number Theory: Papers from The Millennial Conference on Number Theory. Briefly noted.
  
• Benson, Donald C., The Moment of Proof: Mathematical Epiphanies, Reviewed by Ed Sandifer
  
• Benson, Donald C., A Smoother Pebble: Mathematical Explorations. Reviewed by Ed Sandifer
  
• Berg, Michael C., The Fourier-Analytic Proof of Quadratic Reciprocity. Briefly noted.
  
• Berger, Marcel, A Panoramic View of Riemannian Geometry. Reviewed by Tan Zhang
  
• Berggren, J. L., Episodes in the Mathematics of Medieval Islam. Briefly noted
  
• Berggren, Lennart, and Jonathan Borwein, and Peter Borwein, eds., Pi: A Source Book, Third Edition. Briefly noted
  
• Berinde, Vasile, Exploring, Investigating and Discovering in Mathematics. Reviewed by Bonnie Shulman
  
• Berlekamp, Elwyn R., John H. Conway, and Richard K. Guy, Winning Ways. Volume 1, Second Edition. Briefly noted.
  
• Berlekamp, Elwyn R., and John H. Conway and Richard K. Guy, Winning Ways for Your Mathematical Plays. Volume 2, Second Edition. Briefly noted
  
• Berlekamp, Elwin W., John H. Conway, and Richard K. Guy, Winning Ways for Your Mathematical Plays, volume 3. Briefly noted
  
• Berlinghoff, William P., and Fernando Q. Gouvêa, Math through the Ages: A Gentle History for Teachers and Others. Reviewed by Victor J. Katz
  
• Berlinski, David, The Advent of the Algorithm. Reviewed by Allen B. Downey
  
• Berlinski, David, A Tour of the Calculus, Reviewed by Fernando Gouvêa
  
• Bernoulli, Jacob, The Art of Conjecturing, together with "Letter to a Friend on Sets in Court Tennis", translated with an introduction and notes by Edith Dudley Sylla. Reviewed by Fernando Q. Gouvêa
  
• Berrick, A. J. and M. E. Keating, Categories and Modules: With K-theory in View. Briefly noted.
  
• Berzsenyi, George, and Stephen B. Maurer, The Contest Problem Book V, Reviewed by Andrew Leahy
  
• Bhatia, Rajendra, Fourier Series. Reviewed by Brandy J. Lipton
  
• Biggs, N. L., E. K. Lloyd, and R. J. Wilson, Graph Theory 1736-1936. Briefly noted.
  
• Blair, David E., Inversion Theory and Conformal Mapping. Reviewed by Morteza Seddighin
  
• Blay, Michel, Reasoning with the Infinite, Reviewed by Fernando Q. Gouvêa
  
• Bloch, Ethan D, Proofs and Fundamentals: A First Course in Abstract Mathematics. Reviewed by David P. Roberts
  
• Blyth, T. S., Lattices and Ordered Algebraic Structures. Briefly noted
  
• Blyth, T. S., and E. F. Robertson, Basic Linear Algebra. Reviewed by Maria G. Fung
  
• Blyth, T. S., and E. F. Robertson, Further Linear Algebra. Reviewed by Morteza Seddighin
  
• Bonar, Daniel D. and Michael J. Khoury, Real Infinite Series. Reviewed by Underwood Dudley
  
• Boros, George, and Victor H. Moll, eds., Irresistible Integrals: Symbolics, Analysis and Experiments in the Evaluation of Integrals. Briefly noted
  
• Borwein, Jonathan and David Bailey and Roland Girgensohn, Experimentation in Mathematics: Computational Paths to Discovery. Reviewed by David P. Roberts
  
• Borwein, Jonathan and David Bailey, Mathematics by Experiment: Plausible Reasoning in the 21st Century. Reviewed by David P. Roberts
  
• Borwein, Jonathan, Maria H. Morales, Konrad Polthier, José F. Rodrigues, eds., Multimedia Tools for Communicating Mathematics: Compression, Simplification, and Multiresolusion. Reviewed by Mihaela Poplicher
  
• Borwein, Peter, Computational Excursions in Analysis and Number Theory. Reviewed by Charles Ashbacher
  
• Bos, Henk J. M., Redefining Geometrical Exactness: Descartes' Transformation of the Early Modern Concept of Construction. Briefly noted.
  
• Bourgignon, Jean-Pierre, François Tisseyre, Claire Weingarten, The New Shepherd's Lamp. Briefly noted.
  
• Brabenec, Robert L., Resources for the Study of Real Analysis. Reviewed by Ioana Mihaila
  
• Bradley, Christopher J., Challenges in Geometry: For Mathematical Olympians Past and Present. Briefly noted
  
• Bradshaw, Gillian, The Sand Reckoner. Reviewed by Reviel Netz
  
• Bressoud, David, and Stan Wagon, A Course in Computational Number Theory. Reviewed by David P. Roberts
  
• Bressoud, David M., Proofs and Confirmations: The Story of the Alternating Sign Matrix Conjecture. Reviewed by Michele Intermont
  
• Britten, Nicholas F., Essential Mathematical Biology. Briefly noted
  
• Brunt, Bruce van, The Calculus of Variations. Briefly noted
  
• Bruter, Claude P., ed., Mathematics and Art: Mathematical Visualization in Art and Education. Reviewed by Annalisa Crannell
  
• Bruce, Colin, Conned Again, Watson: Cautionary Tales of Logic, Math, and Probability. Reviewed by Daniel H. Cohen
  
• Buchwald, Jed. Z. and I. Bernard Cohen, Isaac Newton's Natural Philosophy. Briefly noted
  
• Bunch, Bryan, The Kingdom of Infinite Number, Reviewed by Charles Ashbacher
  
• Bungharts, Hans-Joachim and Ralf-Peter Mundani and Anton Christian Frank, Bubbles, Jaws, Moose Tests, and More: The Wonderful World of Numerical Simulation. Reviewed by Paul E. Cohen
  
• Burger, Edward B., Exploring the Number Jungle: A Journey into Diophantine Analysis. Reviewed by Fernando Q. Gouvêa
  
• Burger, Edward B. and Michael Starbird, Coincidences, Chaos, and All That Math Jazz: Making Light of Weighty Ideas. Reviewed by Darren Glass
  
• Burger, Edward B., and Michael Starbird, The Heart of Mathematics, Reviewed by Julian Fleron
  
• Burger, Edward B. and Robert Tubbs, Making Transcendence Transparent: An Intuitive Approach to Classical Transcendental Number Theory. Reviewed by Álvaro Lozano Robledo
  
• Byl, John, The Divine Challenge. Reviewed by Russell W. Howell
  
• Cabanes, Marc, and Michel Enguehard, Representation Theory of Finite Reductive Groups. Briefly noted
  
• Calinger, Ronald, A Contextual History of Mathematics: to Euler. Reviewed by Eisso Atzema
  
• Campbell-Kelly, Martin, et. al., eds., A History of Mathematical Tables. Briefly noted
  
• Cannell, D. M., George Green, Mathematician and Physicist, 1793-1841. Reviewed by David Graves
  
• Carlson, David, and Charles R. Johnson, David C. Lay, and A. Duane Porter, eds., Linear Algebra Gems. Reviewed by Michele Intermont
  
• Carlson, David, et. al., editors, Resources for Teaching Linear Algebra, Reviewed by Rebecca Berg
  
• Carpenter, Thomas P. and John A. Dossey, and Julie L. Koehler, eds., Classics in Mathematics Education Research. Reviewed by Hortensia Soto-Johnson
  
• Case, Bettye Anne and Anne M. Leggett, eds., Complexities: Women in Mathematics. Reviewed by Lisa DeKeukelaere
  
• Case, Susan H., The Scottish Café. Briefly noted
  
• Casti, John L., Five More Golden Rules, Reviewed by Donald L. Vestal
  
• Casti, John L., Mathematical Mountaintops: The Five Most Famous Problems of All Time. Reviewed by David P. Roberts
  
• Casti, John L., The One True Platonic Heaven: a Scientific Fiction of the Limits of Knowledge. Reviewed by Jeremy Case
  
• Cerrai, Paola, and Paolo Freguglia and Claudio Pellegrini, eds., The Application of Mathematics to the Sciences of Nature: Critical Moments and Aspects. Reviewed by Bonnie Shulman
  
• Chabert, Jean-Luc, ed., A History of Algorithms: From the Pebble to the Microchip. Reviewed by Ed Sandifer
  
• Chaitin, Gregory J., Conversations with a Mathematician. Reviewed by Mark Johnson
  
• Chaitin, Gregory, Meta Math! The Search for Omega. Reviewed by Marion Cohen
  
• Chandrasekhar, S., The Mathematical Theory of Black Holes. Briefly noted.
  
• Chang, Gengzhe, and Thomas W. Sederberg, Over and Over Again, Reviewed by Ed Sandifer
  
• Chartrand, Gary, and Ping Zhang, Introduction to Graph Theory. Reviewed by Donald L. Vestal
  
• Chen, Jin-Quan, Jialun Ping, and Fan Wong, Group Representation Theory for Physicists. Briefly noted.
  
• Christianidis, Jean, ed., Classics in the History of Greek Mathematics. Reviewed by Fernando Q. Gouvêa
  
• Chung, Kai Lai, Chance and Choice: Memorabilia. Briefly noted
  
• Cipra, Barry, Misteaks ... and how to find them before the teacher does... . Reviewed by Antonella Cupillari
  
• Cipra, Barry, What's Happening in the Mathematical Sciences, 1998-1999. Briefly noted.
  
• Cipra, Barry, What's Happening in the Mathematical Sciences, Volume 5. Reviewed by David P. Roberts
  
• Clawson, Calvin C., Mathematical Mysteries: The Beauty and Magic of Numbers. Briefly noted.
  
• Clawson, Calvin C., Mathematical Sorcery: Revealing the Secrets of Numbers. Reviewed by Charles Ashbacher
  
• Clegg, Brian, Infinity: The Quest to Think the Unthinkable. Reviewed by Kevin R. Burger
  
• Cohen, Henri and Gerhard Frey, Roberto Avanzi, Christophe Doche, Tanja Lange, Kim Nguyen, and Frederik Vercauteren, Handbook of Elliptic and Hyperelliptic Curve Cryptography. Reviewed by Fernando Q. Gouvêa
  
• Cohen, I. B., The Triumph of Numbers: How Counting Shaped Modern Life. Reviewed by Judith V. Grabiner
  
• Cole, K. C., The Universe and the Teacup, Reviewed by William Berlinghoff
  
• Comenetz, Michael, Calculus: The Elements. Briefly noted
  
• Committee on the Undergraduate Program in Mathematics, CUPM Curriculum Guide 2004: Undergraduate Programs and Courses in the Mathematical Sciences. Reviewed by Peter Taylor
  
• Conquest, Wendy, Bob Drake, and Dan Rockmore, The Math Life. Reviewed by Henry Cohn
  
• Conway, John, On Numbers and Games. Second Edition. Briefly noted.
  
• Conway, John Horton, and Derek A. Smith, On Quaternions and Octonions. Reviewed by Michael Berg
  
• Coolidge, Julian Lowell, A History of Geometrical Methods. Reviewed by P. N. Ruane
  
• Cooper, Jeffery, Working Analysis. Reviewed by Warren Johnson
  
• Copeland, B. Jack, ed., The Essential Turing. Briefly noted
  
• Corfield, David, Towards a Philosophy of Real Mathematics. Reviewed by Dennis Lomas
  
• Cosgrave, John B., A Prime for the Millennium. Briefly Noted.
  
• Costa, A. F., and B. GomezArabesques and Geometry, (Springer VideoMATH). Reviewed by Mark McKibben
  
• Cottle, Richard W., ed., The Basic George B. Dantzig. Briefly noted
  
• Coxeter, H. S. M., Non-Euclidean Geometry. Reviewed by Robert Stolz
  
• Crannell, Annalisa and Gavin LaRose and Thomas Ratliff, and Elyn Rykken, Writing Projects for Mathematics Courses: Crushed Clowns, Cars, and Coffee to Go. Reviewed by Susan Palmer Slattery
  
• Cromwell, Peter R., Polyhedra, Reviewed by Ed Sandifer
  
• Crumey, Andrew, D'Alembert's Principle, Reviewed by G. L. Alexanderson
  
• Cuoco, Al, Mathematical Connections. Reviewed by Stephen B. Maurer
  
• Cuomo, S., Pappus of Alexandria and the Mathematics of Late Antiquity. Briefly noted.
  
• Curtis, Charles W., Pioneers of Representation Theory: Frobenius, Burnside, Schur, and Brauer, Reviewed by Andrew Leahy
  
• Dacorogna, Bernard, Introduction to the Calculus of Variations. Reviewed by Michael Berg
  
• Daepp, Ulrich, and Pamela Gorkin, Reading, Writing, and Proving: A Closer Look at Mathematics. Reviewed by Maria Fung
  
• Dajani, Karma, and Cor Kraaikamp, Ergodic Theory of Numbers. Reviewed by Jim Walsh
  
• Dale, Andrew I., Most Honorable Remembrance: The Life and Work of Thomas Bayes. Briefly noted
  
• Dalen, Dirk van, Mystic, Geometer, and Intuitionist: The Life of L.E.J. Brouwer, Volume 1, Reviewed by Bonnie Shulman
  
• Dalen, Dirk van, Mystic, Geometer, and Intuitionist: The Life of L. E. J. Brouwer, Vol. 2: Hope and Disillusion, by Dirk van Dalen. Reviewed by Bonnie Shulman
  
• Danesi, Marcel, The Liar Paradox and the Towers of Hanoi: The Ten Greatest Math Puzzles of All Time. Reviewed by Dick Fellow
  
• D'Angelo, John P., Inequalities from Complex Analysis. Reviewed by Jeffrey Nunemacher
  
• Darling, David, The Universal Book of Mathematics: From Abracadabra to Zeno's Paradoxes. Reviewed by Warren Johnson
  
• Dauben, Joseph W., and Christoph J. Scriba, eds., Writing the History of Mathematics: Its Historical Development. Briefly noted
  
• Davidoff, Giuliana, and Peter Sarnak. and Alain Valette, Elementary Number Theory, Group Theory and Ramanujan Graphs. Briefly noted
  
• Davis, Martin, The Universal Computer: The Road from Leibniz to Turing. Reviewed by Mark Johnson
  
• Davis, Philip J., Mathematical Encounters of the 2nd Kind, Reviewed by Ed Sandifer
  
• Day, William H. E. and F. R. McMorris Axiomatic Consensus Theory in Group Choice and Biomathematics. Reviewed by Donald G. Saari
  
• Dean, Nathaniel, editor, African Americans in Mathematics, Reviewed by James A. Donaldson
  
• DeLong, Matt and Dale Winter, Learning to Teach and Teaching to Learn Mathematics: Resources for Professional Development. Reviewed by George Ashline
  
• Densmore, Dana, ed., Euclid's Elements, translated by Thomas L. Heath. Briefly noted.
  
• dePillis, John, 777 Mathematical Conversation Starters. Briefly noted
  
• Derbyshire, John, Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics. Reviewed by S. W. Graham
  
• Devlin, Keith, The Language of Mathematics, Reviewed by Ioana Mihaila
  
• Devlin, Keith, Life by the Numbers, Reviewed by Bernadette Mullins
  
• Devlin, Keith, The Math Gene: How Mathematical Thinking Evolved and Why Numbers Are Like Gossip. Reviewed by Carl D. Mueller
  
• Devlin, Keith, The Math Instinct: Why You're a Mathematical Genius (Along with Lobsters, Birds, Cats, and Dogs). Reviewed by Amy Shell-Gellasch
  
• Devlin, Keith, The Millennium Problems. Reviewed by David P. Roberts
  
• Diacu, Florin, and Philip Holmes, Celestial Encounters: The Origins of Chaos and Stability. Briefly noted.
  
• Dirichlet, P. G. L., Lectures in Number Theory, with supplements by Richard Dedekind. Briefly noted.
  
• DiSpezio, Michael A., Critical Thinking Puzzles, Reviewed by Andrew Leahy
  
• Djukić, Dušan and Vladimir Janković and Ivan Matić and Nikola PetrovićThe IMO Compendium: A Collection of Problems Suggested for the International Mathematical Olympiads: 1959-2004. Reviewed by Fernando Q. Gouvêa
  
• Dorling, Daniel, and Simpson, Stephen, eds., Statistics in Society, Reviewed by Gudmund R. Iversen
  
• Dossey, John A., editor, Confronting the Core Curriculum, Reviewed by Ed Sandifer
  
• Doxiadis, Apostolos, Uncle Petros and Goldbach's Conjecture, Reviewed by Keith Devlin
  
• Drake, Stillman, Galileo at Work: His Scientific Biography. Briefly noted
  
• du Sautoy, Marcus, The Music of the Primes: Searching to Solve the Greatest Mystery in Mathematics. Reviewed by Stacy G. Langton
  
• Dubinsky, E., D. Mathews and B. E. Reynolds, editors, Readings in Cooperative Learning for Undergraduate, Mathematics, Reviewed by Agnes Tuska
  
• Dudley, Underwood, Numerology, or What Pythagoras Wrought, Reviewed by Walter Sizer
  
• Dummit, David S., and Richard M. Foote, Abstract Algebra, Third Edition. Briefly noted.
• Dunham, William, Euler: The Master of Us All. Reviewed by Ed Sandifer
  
• Dunnington, G. Waldo, Gauss: Titan of Science, with additional material by Jeremy Gray and Fritz-Egbert Dohse. Reviewed by Michael Berg
  
• Dyke, P. P. G., Managing Mathematical Projects — with Success!. Reviewed by Brigitte Servatius
  
• Edwards, A. W. F., Cogwheels of the Mind: The Story of Venn Diagrams. Reviewed by Darren Glass
  
• Edwards, A. W. F., Pascal's Arithmetical Triangle: The story of a mathematical idea. Reviewed by Herbert E. Kasube
  
• Edwards, Harold M., Essays in Constructive Mathematics. Reviewed by Bonnie Shulman
  
• Eisenbud, David, The Geometry of Syzygies: A Second Course in Commutative Algebra and Algebraic Geometry. Reviewed by David P. Roberts
  
• Elaydi, Saber, An Introduction to Difference Equations, third edition. Briefly noted
  
• Emmer, Michele, ed., Mathematics and Culture I. Reviewed by Leon Harkleroad
  
• Emmer, Michele, and Mirella Manaresi, eds., Mathematics, Art, Technology and Cinema. Reviewed by David Acheson
  
• Engquist, Björn and Wilfried Schmid, eds., Mathematics Unlimited--2001 and Beyond. Reviewed by David P. Roberts
  
• Enzensberger, Hans Magnus, Drawbridge Up: Mathematics — A Cultural Anathema. Reviewed by Agnes Tuska
  
• Erdös, Paul, and János Surányi, Topics in Number Theory. Reviewed by Donald L. Vestal
  
• Eriksson, K. and D. Estep and C. Johnson, Applied Mathematics: Body and Soul (3 volumes). Reviewed by P. N. Ruane
  
• Esmonde, Jody, and M. Ram Murty, Problems in Algebraic Number Theory, Second Editon. Briefly noted.
• Estep, Donald, Practical Analysis in One Variable. Reviewed by Mihaela Poplicher
  
• Euler, Leonhard, Foundations of the Differential Calculus, translated by John D. Blanton. Briefly noted.
  
• Everest, Graham and Thomas Ward, An Introduction to Number Theory. Reviewed by Rob Benedetto
  
• Eves, Howard, Mathematical Circles. Six volumes in three. Briefly noted
  
• Eves, Howard, Mathematical Reminiscences. Reviewed by Michael Berg.
  
• Ewald, William, ed., From Kant to Hilbert: a Source Book in the Foundations of Mathematics. Briefly noted.
  
• Eymard, Pierre, and Jean-Pierre Lafon, The Number π. Reviewed by Henry Ricardo
  
• Farin, Gerald and Dianne Hansford, Practical Linear Algebra: A Geometry Toolbox. Reviewed by Warren Johnson
  
• Fauvel, John, Raymond Flood, and Robin Wilson, eds., Oxford Figures: 800 Years of the Mathematical Sciences. Reviewed by Eisso Atzema
  
• Feeman, Timothy G., Portraits of the Earth: A Mathematician Looks at Maps. Reviewed by Robert W. Vallin
  
• Feferman, Anita Burdman and Solomon Feferman, Alfred Tarski: Life and Logic. Reviewed by Amy Shell-Gellasch
  
• Ferguson, Kitty, Measuring the Universe. Briefly noted.
  
• Fernandez, Clea and Makoto Yoshida, Lesson Study: A Japanese Approach to Improving Mathematics Teaching and Learning. Reviewed by Rick Seaman
  
• Finch, Stephen R., Mathematical Constants. Reviewed by Darren Glass
  
• Flannery, David, The Square Root of 2: A Dialogue Concerning a Number and a Sequence. Reviewed by Doug Ensley and John Ensley
  
• Flannery, Sarah, with David Flannery, In Code: A Mathematical Journey. Reviewed by Marvin Schaefer
  
• Flapan, Erica, When Topology Meets Chemistry: A Topological Look At Molecular Chirality. Reviewed by Stacy G. Langton
  
• Folkerts, Menso, Essays on Early Medieval Mathematics. Briefly noted
  
• Fox, Robert, ed., Thomas Harriot: An Elizabethan Man of Science. Briefly noted.
  
• Fowler, David, The Mathematics of Plato's Academy, Reviewed by Fernando Q. Gouvêa
  
• Fraenkel, L. E., Introduction to Maximum Principles and Symmetry in Elliptic Problems. Briefly noted.
  
• Frame, M. L., and B. B. Mandelbrot, Fractals, Graphics, and Mathematics Education. Reviewed by George Ashline
  
• Frankel, Theodore, The Geometry of Physics: An Introduction, Second Edition. Briefly noted
  
• Franklin, James, The Science of Conjecture: Evidence and Probability before Pascal. Briefly noted.
  
• Franzén, Torkel, Gödel's Theorem: An Incomplete Guide to its Use and Abuse. Reviewed by Don Vestal
  
• Frederickson, Greg N., Dissections: Plane & Fancy, Reviewed by Sherman Stein
  
• Frederickson, Greg N., Hinged Dissections: Swinging & Twisting. Briefly noted
  
• Freedman, David, Statistical Models: Theory and Practice. Reviewed by Ita Cirovic Donev
  
• Friedberg, Solomon, et. al., Teaching Mathematics in Colleges and Universities: Case Studies for Today's Classroom. Reviewed by Eileen Shugart
  
• Frucht, William, ed., Imaginary Numbers: An Anthology of Marvelous Mathematical Stories, Diversions, Poems and Musings, Reviewed by Ed Sandifer
  
• Gaither, C. C. and A. E. Cavazos-GaitherMathematically Speaking: A Dictionary of Quotations. Reviewed by Fernando Q. Gouvêa
  
• Ganter, Susan L., Changing Calculus: A Report on Evaluation Efforts and National Impact from 1988-1998. Reviewed by Herbert Kasube
  
• Ganter, Susan, and William Barker, eds., Curriculum Foundations Project: Voices of the Partner Disciplines. Briefly noted
  
• Gardiner, A., The Mathematical Olympiad Handbook, Reviewed by Carl D. Mueller
  
• Gardner, Martin, Aha! Gotcha Aha! Insight: Aha! A Two Volume Collection. Reviewed by Fernando Q. Gouvêa
  
• Gardner, Martin, A Gardner's Workout: Training the Mind and Entertaining the Spirit. Reviewed by Mihaela Poplicher
  
• Gardner, Martin, Mathematical Puzzle Tales. Reviewed by Antonella Cupillari
  
• Gardner, Martin, Penrose Tiles To Trapdoor Ciphers, Reviewed by Richard Vinson
  
• Garfield, Joan, ed., Innovations in Teaching Statistics. Reviewed by Liam O'Brien
  
• Garrity, Thomas A., All the Mathematics You Missed [But Need to Know for Graduate School]. Reviewed by Mariah E. Hamel
  
• Gavosto, Estela A., Steven G. Krantz, and William McCallum, eds., Contemporary Issues in Mathematics Education. Reviewed by Libby Krussel
  
• Gazalé, Midhat J., Gnomon: From Pharaohs to Fractals, Reviewed by Ed Sandifer
  
• Gazalé, Midhat, Number: from Ahmes to Cantor. Reviewed by Marvin Schaefer
  
• Gebert, Jürgen Richter, and Ulrich H. Kortenkamp, Cinderella: The Interactive Geometry Software, Reviewed by Ed Sandifer
  
• George, Alexander, and Daniel J. Velleman, Philosophies of Mathematics. Reviewed by Bonnie Gold
  
• Georgiadou, Maria, Constantin Carathéodory: Mathematics and Politics in Turbulent Times. Reviewed by Michael Berg
  
• Gerdes, Paulus, Geometry from Africa: Mathematical and Educational Explorations, Reviewed by Karen Dee Michalowicz
  
• Gerdes, Paulus Women, Art, and Geometry in Southern Africa, Reviewed by Walter S. Sizer
  
• Gershenfeld, Neil A., The Nature of Mathematical Modeling. Reviewed by Mark McKibben
  
• Gibbons, Jean Dickinson, Ingram Olkin, and Milton Sobel, Selecting and Ordering Populations. Briefly noted.
  
• Gillispie, Charles Coulston, Pierre Simon Laplace, 1749-1827: A Life In Exact Science, Reviewed by Stacy G. Langton
  
• Gillman, Rick, A Friendly Mathematics Competition: 35 Years of Teamwork in Indiana. Reviewed by Henry Ricardo
  
• Ginzburg, A., Calculus: Problems and Solutions. Briefly noted
  
• Gnädig, P., G. Honyek, and K. F. Riley, 200 Puzzling Physics Problems. Reviewed by Agnes Tuska
  
• Gockenbach, Mark S., Partial Differential Equations: Analytical and Numerical Methods. Reviewed by Maeve L. McCarthy
  
• Goddard, Peter, editor, Paul Dirac: the man and his work, Reviewed by Fernando Gouvêa
  
• Gold, Bonnie, Sandra Keith and William Marion, eds, Assessment Practices in Undergraduate Mathematics, Reviewed by Gideon L. Weinstein
  
• Goldstein, Rebecca, Incompleteness: The Proof and Paradox of Kurt Gödel. Reviewed by John Martin
  
• Goodman, A. W., Algebra from A to Z, Vols 1-5. Briefly noted.
  
• Goodman, Jacob E., and Joseph O'Rourke, eds., Handbook of Discrete and Computational Geometry. Reviewed by Alex Bogomolny
  
• Gootman, Elliot C., Calculus, Reviewed by Steve Benson
  
• Gorini, Catherine A., ed., Geometry at Work. Reviewed by Randall J. Swift
  
• Gowers, Timothy, Mathematics: A Very Short Introduction. Reviewed by Fernando Q. Gouvêa
  
• Grafakos, Loukas, Classical and Modern Fourier Analysis. Reviewed by Kenneth A. Ross
  
• Grafton, Anthony, Cardano's Cosmos: The Worlds and Works of a Renaissance Astrologer. Briefly noted.
  
• Grassmann, Hermann, Extension Theory. Briefly Noted.
  
• Grattan-Guinness, I., ed., Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences, two volumes. Briefly noted
  
• Grattan-Guinness, I., ed., Landmark Writings in Western Mathematics 1640-1940. Reviewed by Fernando Q. Gouvêa
  
• Grattan-Guinness, I., The Search for Mathematical Roots, 1870-1940: Logics, Set Theories and the Foundations of Mathematics from Cantor through Russell to Gödel. Reviewed by Marvin Schaefer
  
• Graver, Jack E., Counting on Frameworks: Mathematics to Aid the Design of Rigid Structures. Reviewed by Stacy G. Langton
  
• Gray, Jeremy J., The Hilbert Challenge. Reviewed by David Graves
  
• Gray, Jeremy J., János Bolyai, Non-Euclidean Geometry, and the Nature of Space. Reviewed by Victor J. Katz
  
• Gremaud, Pierre A., Zhilin Li, Ralph C. Smith, and Hien T. Tran, eds., Industrial Mathematics: The 1998 CRSC Workshop. Briefly noted.
  
• Grier, David, When Computers Were Human. Reviewed by Amy Shell-Gellasch
  
• Griewank, Andreas, Evaluating Derivatives. Reviewed by Dan Kalman
  
• Groetsch, Charles W., Inverse Problems: Activities for Undergraduates. Reviewed by Keith Brandt
  
• Grothendieck, Alexandre, and J.-P. Serre, Grothendieck-Serre Correspondence: Bilingual Edition. Briefly noted
  
• Guedj, Denis, The Measure of the World. Translated by Arthur Goldhammer. Reviewed by Steven Morics
  
• Guedj, Denis, The Parrot's Theorem: A Novel. Reviewed by Gerald L. Alexanderson
  
• Guicciardini, Niccolò, Reading the Principia, Reviewed by Jeremy Gray
  
• Hacking, Ian, An Introduction to Probability and Inductive Logic. Reviewed by Ramachandran Bharath
  
• Hadamard, Jacques, Non-Euclidean Geometry in the Theory of Automorphic Functions, edited by Jeremy J. Gray and Abe Shenitzer. Briefly noted.
  
• Haddon, Mark, The Curious Incident of the Dog in the Night-time. Reviewed by Maria G. Fung
  
• Hadlock, Charles R., Field Theory and its Classical Problems. Briefly noted.
  
• Hadlock, Charles R., Mathematical Modeling in the Environment, Reviewed by Leah Edelstein-Keshet
  
• Hadlock, Charles R., ed., Mathematics in Service to the Community. Reviewed by Hortensia Soto-Johnson
  
• Hagelgans, Nancy L., et. al, A Practical Guide to Cooperative Learning in Collegiate Mathematics, Reviewed by Thomas R. Berger
  
• Hahn, Liong-Shin, New Mexico Contest Problem Book. Reviewed by Mihaela Poplicher
  
• Haigh, John, Taking Chances: Winning with Probability. Reviewed by Randall J. Swift
  
• Hale, Margie, Essentials of Mathematics: Introduction to Theory, Proof, and the Professional Culture. Reviewed by Marion Cohen
  
• Halmos, Paul R., I Want to Be a Mathematician... An Automathography. Reviewed by Fernando Q. Gouvêa
  
• Halmos, Paul, and Steven Givant, Logic as Algebra, Reviewed by Mark Johnson
  
• Hankins, Thomas L., Sir William Rowan Hamilton. Briefly noted
  
• Hardt, Robert, ed., Six Themes on Variation. Reviewed by Ed Sandifer
  
• Harel, David, Computers, Ltd.: What They Really Can't Do. Reviewed by J. Kevin Colligan
  
• Harkleroad, Leon, The Math Behind the Music. Reviewed by Sarah Boslaugh
  
• Harris, John M. and Jeffry L. Hirst and Michael J. Mossinghoff, Combinatorics and Graph Theory. Reviewed by Ioana Mihaila
  
• Hartshorne, Robin, Geometry: Euclid and Beyond. Reviewed by Morteza Seddighin
  
• Hastings, Nancy Baxter, ed., A Fresh Start for Collegiate Mathematics: Rethinking the Courses below Calculus. Reviewed by James Poinsett
  
• Havil, Julian, Gamma: Exploring Euler's Constant. Reviewed by Jeremy Gray
  
• Hawking, Stephen, ed., God Created the Integers: The Mathematical Breakthroughs that Changed History. Reviewed by Fernando Q. Gouvêa
  
• Hayes, David F. and Tatiana Shubin, eds., Mathematical Adventures for Students and Amateurs. Reviewed by Darren Glass
  
• Heath, Thomas L., A Manual of Greek Mathematics. Briefly noted
  
• Heath, T. L., ed., The Works of Archimedes. Briefly noted.
  
• Hebra, Alex, Measure for Measure: The Story of Imperial, Metric, and Other Units. Briefly noted
  
• Hege, H.-C., and K. Polthier, VideoMath Festival at ICM '98. Briefly noted.
  
• Heilbron, J. L., Geometry Civilized: History, Culture, and Technique, Reviewed by David Fowler
  
• Hellegouarch, Yves, Invitation to the Mathematics of Fermat-Wiles. Reviewed by Donald L. Vestal
  
• Henrion, Claudia, Women in Mathematics: the Addition of Difference, Reviewed by Mary Shepherd
  
• Herman, Jiri, Radan Kucera, and Jaromir Simsa, Equations and Inequalities: Elementary Problems and Theorems in Algebra and Number Theory. Reviewed by Donald L. Vestal
  
• Hersh, Reuben, 18 Unconventional Essays on the Nature of Mathematics. Reviewed by William J. Satzer
  
• Hersh, Reuben, What is Mathematics, Really?, Reviewed by Fernando Gouvêa
  
• Herz-Fischler, Roger, Adolph Zeising: The Life and Work of a German Intellectual . Briefly noted
  
• Herz-Fischler, Roger, The Shape of the Great Pyramid. Reviewed by Underwood Dudley
  
• Hesseling, Dennis E., Gnomes in the Fog. Reviewed by Bonnie Shulman
  
• Hewson, Stephen Fletcher, A Mathematical Bridge: An Intuitive Journey in Higher Mathematics. Reviewed by David P. Roberts
  
• Heyde, C. C. and E. Seneta, eds., Statisticians of the Centuries. Reviewed by Andrew Leahy
  
• Hibbard, Allen C. and Ellen J. Maycock, eds., Innovations in Teaching Abstract Algebra. Reviewed by Andrew B. Perry
  
• Hida, Haruzo, Modular Forms and Galois Cohomology. Briefly noted.
  
• Higgins, Peter M., Mathematics for the Imagination. Reviewed by Steven Morics
  
• Hilton, Peter, and Derek Holton and Jean Pedersen, Mathematical Vistas: From a Room with Many Windows. Reviewed by Marvin Schaefer
  
• Hirsch, Morris, and Stephen Smale, and Robert L. Devaney, Differential Equations, Dynamical Systems, and an Introduction to Chaos. Briefly noted
  
• Hodge, Jonathan K. and Richard E. Klima, The Mathematics of Voting and Elections: A Hands-On Approach. Reviewed by Raymond N. Greenwell
  
• Hodgkin, Luke, A History of Mathematics: From Mesopotamia to Modernity. Reviewed by Herbert Kasube
  
• Hoffman, Paul, The Man Who Loved Only Numbers, Reviewed by Keith Devlin
  
• Holme, Audun, Geometry: Our Cultural Heritage. Reviewed by Mihaela Poplicher
  
• Holt, Jeff, and John Jones, Discovering Number Theory. Reviewed by Donald L. Vestal
  
• Holton, Derek, ed., The Teaching and Learning of Mathematics at University Level: An ICMI Study. Reviewed by Teri J. Murphy
  
• Honsberger, Ross, In Pólya's Footsteps, Reviewed by David Graves
  
• Honsberger, Ross, Mathematical Chestnuts from Around the World. Briefly noted.
  
• Horton, Holbrook L., Mathematics at Work, edited by Henry H. Ryffel, Edward E. Messal, and Robert E. Green. Briefly noted.
  
• Houston, Ken, ed., Creators of Mathematics: The Irish Connection. Briefly noted.
  
• Howell, Russell W. and W. James, Bradley, eds., Mathematics in a Postmodern Age: A Christian Perspective. Reviewed by Bonnie Gold
  
• Howie, John M., Complex Analysis. Reviewed by Michael Berg
  
• Høyrup, Jens, Lengths, Widths, Surfaces: a Portrait of Old Babylonian Algebra and its Kin. Reviewed by Eleanor Robson
  
• Huang, Kun, and Max Born, Dynamical Theory of Crystal Lattices. Briefly noted.
  
• Huggett, Stephen, and David Jordan, A Topological Aperitif. Reviewed by Michael Berg
  
• Hulek, Klaus, Elementary Algebraic Geometry. Reviewed by José Felipe Voloch
  
• Hull, Thomas, Project Origami: Activities for Exploring Mathematics. Reviewed by Steven Frankel
  
• Humphreys, J. F. and M. Y. Prest, Numbers, Groups & Codes, Second Edition. Reviewed by Thomas R. Berger
  
• Hurewicz, Witold, Lectures on Ordinary Differential Equations. Briefly noted.
  
• Ibe, Oliver C., Fundamentals of Applied Probability and Random Processes. Reviewed by Sarah Boslaugh
  
• Israel, Georgio, and Ana Millán Gasca, eds., The Biology of Numbers: The Correspondence of Vito Volterra on Mathematical Biology. Briefly noted
  
• Ivic, Aleksandar, The Riemann Zeta-Function. Briefly noted
  
• James, Ioan, Remarkable Mathematicians: From Euler to von Neumann. Reviewed by Philip D. Straffin
  
• Jameson, G. J. O., The Prime Number Theorem. Reviewed by David M. Bressoud
  
• Jänich, Klaus, Vector Analysis. Briefly noted.
  
• Janke, Steven J. and Frederick C. Tinsley, Introduction to Linear Models and Statistical Inference. Briefly noted
  
• Jeffreys, Sir Harold, Theory of Probability. Briefly noted,
  
• Jensen, Gary R., Arithmetic for Teachers: With Applications and Topics from Geometry. Reviewed by William P. Berlinghoff
  
• Jesseph, Douglas M., Squaring the Circle: The War Between Hobbes and Wallis. Reviewed by David Graves
  
• Johnson, Ken and Ted Herr and Judy Kysh, Crossing the River with Dogs: Problem Solving for College Students
• Joyner, David, Adventures in Group Theory: Rubik's Cube, Merlin's Machine, and Other Mathematical Toys. Reviewed by Donald L. Vestal
  
• Kaczor, W. J., and M. T. Nowak, Problems in Mathematical Analysis I. Briefly noted.
  
• Kaczor, W. J., and M. T. Nowak, Problems in Mathematical Analysis II: Continuity and Differentiation. Reviewed by Morteza Seddighin
  
• Kajander, Ann, Big Ideas for Small Mathematicians: Kids Discovering the Beauty of Math With 22 Ready-To-Go Activities. Reviewed by Laurie Johnson
  
• Kallaher, Michael J., ed., Revolutions in Differential Equations, Reviewed by Jan E. Holly
  
• Kalman, Dan, Elementary Mathematical Models, Reviewed by Kelly Black
  
• Kammen, Daniel M., and David M. Hassenzahl, Should We Risk It?, Reviewed by Dexter C. Whittinghill
  
• Kaplan, Robert and Ellen, The Art of the Infinite. Reviewed by Steve Kennedy
  
• Kaplan, Robert, The Nothing That Is, Reviewed by Andrew Leahy
  
• Katok, Svetlana, and Alexei Sossinsky and Serge Tabachnikov, eds.,MASS Selecta: Teaching and Learning Advanced Mathematics. Reviewed by Mihaela Poplicher
  
• Katz, Victor J., and Karen Dee Michalowicz, eds., Historical Modules for the Teaching and Learning of Mathematics. Reviewed by John McCleary
  
• Katz, Victor, ed., Using History to Teach Mathematics: An International Perspective. Reviewed by Ed Sandifer
  
• Kazarinoff, Nicholas, D., Ruler and the Round: Classic Problems in Geometric Constructions. Reviewed by P. N. Ruane
  
• Kedlaya, Kiran, Bjorn Poonen and Ravi Vakil, The William Lowell Putnam Mathematical Competition 1985-2000: Problems, Solutions and Commentary. Briefly noted
  
• Kelley, C. T., Iterative Methods for Optimization. Briefly noted.
  
• Kenschaft, Patricia Clark, Mathematics for Human Survival. Reviewed by Bonnie Shulman
  
• Kessel, Cathy, and Judith Epstein and Michael Keynes, eds., The Mathematical Education of Teachers. Reviewed by Rick Seaman
  
• Kilbas, Anatoly A. and Megumi Saigo, H-Transforms: Theory and Applications. Reviewed by Warren Johnson
  
• Kiltinen, John O., Oval Track and other Permutation Puzzles, and just enough group theory to solve them. Reviewed by Ruth I. Berger
  
• Kirtland, Joseph, Identification Numbers and Check Digit Schemes. Reviewed by Doug Ensley.
  
• Kisacanin, Branislav, Mathematical Problems and Proofs: Combinatorics, Number Theory, and Geometry. Reviewed by Carl D. Mueller
  
• Klass, Ric, Man Overboard: Confessions of a Novice Math Teacher in the Bronx. Reviewed by Rebecca Black
  
• Klein, Éttienne, and Marc Lachièze-Rey, The Quest for Unity. Briefly noted.
  
• Klein, Felix, Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis. Briefly noted
  
• Klein, Felix, Elementary Mathematics from an Advanced Standpoint: Geometry. Briefly noted
  
• Klein, Felix, Lectures on the Icosahedron. Briefly noted
  
• Knobel, Roger, An Introduction to the Mathematical Theory of Waves, Reviewed by Mark McKibben
  
• Knuth, Donald E., Selected Papers on Discrete Mathematics. Briefly noted
  
• Knuth, Donald E., Things a Computer Scientist Rarely Talks About. (CSLI Lecture Notes, no. 136.) Briefly noted.
  
• Kocay, William, and Donald L. Kreher, Graphs, Algorithms and Optimization. Briefly noted
  
• Koch, Helmut, Galois Theory of p-Extensions. Briefly noted
  
• Koetsier, T., and L. Bergmans, eds., Mathematics and the Divine. Reviewed by Calvin Jongsma
  
• Komornik, Vilmos, and Paola Loreti, Fourier Series in Control Theory. Briefly noted
  
• Körner, T. W., A Companion to Analysis: A Second First and First Second Course in Analysis. Reviewed by Kenneth A. Ross
  
• Körner, T.W., The Pleasures of Counting, Reviewed by Fernando Gouvêa
  
• Krantz, Steven G., How To Teach Mathematics (Second Edition), Reviewed by Rick Seaman
  
• Krantz, Steven G., Mathematical Apocrypha Redux. Reviewed by Michael Berg.
  
• Krantz, Stephen G., A Mathematician's Survival Guide: Graduate School and Early Career Development. Reviewed by Ioana Mihaila
  
• Krantz, Steven G., Complex Analysis: The Geometric Viewpoint, Second Edition. Reviewed by Bogdan D. Suceavă
  
• Krantz, Steven G., A Panorama of Harmonic Analysis. Reviewed by Stacy G. Langton
  
• Krieger, Martin H., Doing Mathematics. Reviewed by David P. Roberts
  
• Kuczma, Marcin E., International Mathematical Olympiads: 1986-1999. Briefly noted
  
• Kühnel, Wolfgang Differential Geometry: Curves — Surfaces — Manifolds. Briefly noted.
  
• Kulikov, Valentine S., Mixed Hodge Structures and Singularities. Briefly noted.
  
• Kurzweil, Hans and Bernd Stellmacher, The Theory of Finite Groups: An Introduction. Briefly noted
  
• Laczkovich, Miklós, Conjecture and Proof. Reviewed by Michael Berg
  
• Lakoff, George, and Rafael E. Núñez, Where Mathematics Comes From: How the Embodied Mind Brings Mathematics Into Being. Reviewed by Bonnie Gold
  
• Lambert, Stephen, and Ruth J. DeCotis, Great Jobs For Math Majors, Reviewed by David R. Stone
  
• Landman, Bruce M., and Aaron Roberstson, Ramsey Theory on the Integers. Reviewed by Mihaela Poplicher
  
• Lando, S. K., Lectures on Generating Functions. Briefly noted
  
• Lang, Serge, Math Talks for Undergraduates. Reviewed by Richard K. Guy
  
• Langville, Amy N, and Carl D. Meyer, Google's PageRank and Beyond: The Science of Search Engine Rankings. Reviewed by William J. Satzer
  
• Latouche, G., and V. Ramaswami, Introduction to Matrix Analytic Methods in Stochastic Modeling. Briefly noted.
  
• Laubenbacher, Reinhard, and David Pengelley, Mathematical Expeditions: Chronicles by the Explorers, Reviewed by Daniel E. Otero
  
• Laudal, Olav Arnfinn, and Ragni Piene, eds., The Legacy of Niels Henrik Abel. Briefly noted
  
• Laugwitz, Detlef, Bernhard Riemann 1826-1866, Reviewed by David P. Roberts
  
• Lawvere, F. William, and Robert Rosebrugh, Sets for Mathematics. Reviewed by Michael Berg
  
• Lehto, Olli, Mathematics Without Borders: A History Of The International Mathematical Union, Reviewed by Carl D. Mueller
  
• Lemmermeyer, Franz, Reciprocity Laws : From Euler to Eisenstein. Briefly noted.
  
• Lesigne, Emmanuel, Heads or Tails: An Introduction to Limit Theorems in Probability. Reviewed by Gudmund R. Iversen
  
• Levinson, Horace C., Chance, Luck and Statistics. Reviewed by Charles Ashbacher
  
• Levy, Azriel, Basic Set Theory. Reviewed by Michael Berg
  
• Levy, Silvio, ed., The Eightfold Way: The Beauty of Klein's Quartic Curve. Reviewed by Ruth Michler
  
• Lewand, Robert Edward, Cryptological Mathematics. Reviewed by Thomas R. Berger
  
• Lewinter, Martin and William Widulski, The Saga of Mathematics. Reviewed by Ioana Mihaila
  
• Li, Shangzhi, and Falai Chen, Yaohua Wu, and Yunhua Zhang, Mathematics Experiments. Reviewed by Bonnie Shulman
  
• Lianghuo, Fan, and Wong Ngai-Ying and Cai Jinfa and Li Shiqi, How Chinese Learn Mathematics: Perspectives from Insiders. Briefly noted
  
• Lima, Elon Lages, Fundamental Groups and Covering Spaces, translated by Jonas Gomes. Briefly noted
  
• Linton, C. M., From Eudoxus to Einstein: A History of Mathematical Astronomy. Reviewed by Glen Van Brummelen
  
• Liu, Andy, ed., Hungarian Problem Book III. Briefly noted.
  
• Livio, Mario, The Equation that Couldn't Be Solved: How Mathematical Genius Discovered the Language of Symmetry. Reviewed by Darren Glass
  
• Logan, J. David, Applied Partial Differential Equations, Second Edition. Briefly noted
  
• Lovasz, L. and J. Pelikan and K. Vesztergombi, Discrete Mathematics: Elementary and Beyond. Reviewed by Michele Intermont
  
• Mac Lane, Saunders, Saunders Mac Lane: A Mathematical Autobiography. Reviewed by Amy Shell-Gellasch
  
• Macrae, Norman, John von Neumann. Briefly noted.
  
• McCleary, John, A First Course in Topology: Continuity and Dimension. Reviewed by Fernando Q. Gouvêa
  
• McCrimmon, Kevin, A Taste of Jordan Algebras. Reviewed by Michael Berg
  
• McKee, Terry A., and F. R. McMorris, Topics in Intersection Graph Theory. Briefly noted.
  
• Mackey, George W., Foundations of Quantum Mechanics. Reviewed by Michael Berg
  
• McKnight, Curtis, and Andy Magid and Teri J. Murphy and Michelynn McKnight, Mathematics Education Research: A Guide for the Research Mathematician. Reviewed by Mary Shepherd
  
• McLeod, Robin J. Y., and M. Louisa Baart,Geometry and Interpolation of Curves and Surfaces. Briefly noted.
  
• Madore, J., An Introduction to Noncommutative Differential Geometry and its Physical Applications. Briefly noted.
  
• Magnus, W., and A. Karrass, and D. Solitar, Combinatorial Group Theory: Presentations of Groups in Terms of Generators and Relations. Reviewed by Joseph Rotman
  
• Maher, Richard J., ed., Innovative Approaches to Undergraduate Mathematics Courses Beyond Calculus. Reviewed by Susan Slattery
  
• Mainzer, Klaus, The Little Book of Time. Briefly noted
  
• Malcolm, Noel and Jacqueline Stedall, John Pell (1611-1685) and His Correspondence with Sir Charles Cavendish: The Mental World of an Early Modern Mathematician. Reviewed by Rob Bradley
  
• Mandelbrot, Benoit B., Fractals and Chaos: The Mandelbrot Set and Beyond. Reviewed by Mihaela Poplicher
  
• Manneville, Paul, Instabilities, Chaos, and Turbulence: An Introduction to Nonlinear Dynamics and Complex Systems. Briefly noted
  
• Maor, Eli, Trigonometric Delights, Reviewed by Sean Bradley
  
• Marcus, Daniel A., Combinatorics, Reviewed by Ruth Michler
  
• Mashaal, Maurice, Bourbaki: A Secret Society of Mathematicians. Reviewed by Michael Berg
  
• Math Forum, The, Dr. Math Gets You Ready for Algebra. Reviewed by Hema Gopalakrishnan
  
• Mattheij, Robert and Jaap Molenaar, Ordinary Differential Equations in Theory and Practice. Briefly noted
  
• Mathematics Learning Study Committee, Jeremy Kilpatrick, Jane Swafford and Bradford Findell, eds., Adding It Up: Helping Children Learn Mathematics. Reviewed by Anne Brown
  
• Matoušek, Jiří, Using the Borsuk-Ulam Theorem: Lectures on Topological Methods in Combinatorics and Geometry. Reviewed by Mihaela Poplicher
  
• Maurer, Stephen B. and Anthony Ralston, Discrete Algorithmic Mathematics. Reviewed by Alex Bogomolny
  
• Maxwell, James Clerk, A Treatise on Electricity and Magnetism, volumes one and two. Briefly noted.
  
• Mazur, Barry, Imagining Numbers (particularly the square root of minus fifteen). Reviewed by Keith Devlin
  
• Mazur, Joseph, Euclid in the Rainforest: Discovering Universal Truths in Logic and Math. Reviewed by Stacy Langton
  
• Maz'ya, Vladimir, and Tatyana Shaposhnikova, Jacques Hadamard, A Universal Mathematician, Reviewed by George L. Ashline
  
• Meester, Ronald, A Natural Introduction to Probability Theory. Reviewed by Raymond N. Greenwell
  
• Meier, John, and Tom Rishel, Writing in the Teaching and Learning of Mathematics, Reviewed by Michele Intermont
  
• Meinhardt, Hans, The Algorithmic Beauty of Sea Shells, Third Edition. Reviewed by Amy Shell-Gellasch
  
• Messer, Robert and Philip Straffin, Topology Now!. Reviewed by David Richeson
  
• Mesterton-Gibbons, Michael, An Introduction to Game-Theoretic Modelling. Reviewed by Henry Cohn
  
• Meyer, Carl D., Matrix Analysis and Applied Linear Algebra. Reviewed by Joel Foisy
  
• Meyer, Walter, Geometry and Its Applications, 2nd edition. Reviewed by Fernando Q. Gouvêa
  
• Micchelli, Charles A., ed., Selected Papers of Alan Hoffman with Commentary. Briefly noted
  
• Mills, T. M., Problems in Probability. Briefly noted.
  
• Mitin, Vladimir V., Dmitri A. Romanov, and Michael P. Polis, Modern Advanced Mathematics for Engineers. Briefly noted.
  
• Monastyrsky, Michael, Modern Mathematics in the Light of the Fields Medals, Reviewed by David P. Roberts
  
• Montgomery, Scott L., Science in Translation: Movements of Knowledge Through Cultures and Time. Reviewed by William R. Everdell
  
• Mooney, Douglas and Randall Swift, A Course in Mathematical Modeling, Reviewed by Jan E. Holly
  
• Moore, Thomas, ed., Teaching Statistics: Resources for Undergraduate Instructors. Reviewed by Richard L. Scheaffer
  
• Morgan, Frank, The Math Chat Book, Reviewed by Donald L. Vestal
  
• Morrow, Charlene, and Teri Perl, eds., Notable Women in Mathematics: A Biographical Dictionary, Reviewed by Libby Krussel
  
• Moser, Jürgen, Stable and Random Motion in Dynamical Systems. Briefly noted.
  
• Moyer, Ann E., The Philosophers' Game: Rithmomachia in Medieval and Renaissance Europe, with an edition of Ralph Lever and William Fulke, "The Most Noble, Auncient, and Learned Playe" (1563). Briefly noted
  
• Mozzochi, C. J., The Fermat Diary. Reviewed by Robert A. McGuigan
  
• Murray, J. D., Mathematical Biology I: An Introduction. Reviewed by Charles Ashbacher
  
• Murray, Miki, Teaching Mathematics Vocabulary in Context: Windows, Doors, and Secret Passageways. Reviewed by Rick Seaman
  
• Musiela, Marek and Marek Rutkowski, Martingale Methods in Financial Modeling, second edition. Briefly noted
  
• Musielak, Dora, Sophie's Diary: A Historical Fiction. Reviewed by Judy Holdener
  
• Næss, Atle, Galileo: When the World Stood Still. Reviewed by Alexander J. Hahn
  
• Nahin, Paul, Dueling Idiots and Other Probability Puzzlers. Briefly noted.
  
• Nahin, Paul J., An Imaginary Tale: The Story of the Square Root of -1, Reviewed by Ed Sandifer
  
• Nahin, Paul, When Least is Best: How Mathematicians Discovered Many Clever Ways to Make Things as Small (or as Large) as Possible. Reviewed by Bonnie Shulman
  
• Narkiewicz, W., The Development of Prime Number Theory. Briefly noted.
  
• Neal, Katherine, From Discrete to Continuous: The Broadening of Number Concepts in Early Modern England. Reviewed by Eisso Atzema
  
• Netz, Reviel, The Shaping of Deduction in Greek Mathematics: A study in cognitive history, Reviewed by Christian Marinus Taisbak
  
• Niven, Ivan, Irrational Numbers. Briefly noted
  
• Niven, Ivan, Maxima and Minima Without Calculus. Reviewed by Kara Shane Colley
  
• Nolan, Deborah, editor, Women and Mathematics: Scaling the Heights , Reviewed by Virginia Knight
  
• Nowakowski, Richard J., editor, Games of No Chance, Reviewed by Ed Sandifer
  
• Nowakowsky, Richard J., ed., More Games of No Chance. Reviewed by Ed Sandifer
  
• Odifreddi, Piergiorgio, The Mathematical Century: The 30 Greatest Problems of the Last 100 Years. Reviewed by P. N. Ruane
  
• Olds, C. D., Anneli Lax, and Giuliana Davidoff, The Geometry of Numbers. Reviewed by Henry Cohn
  
• Olive, Jenny, Maths: A Student's Survival Guide, Reviewed by Teri J. Murphy
  
• Olive, Jenny, Maths: a Student's Survival Guide, 2nd edition. Briefly noted
  
• Olsen, Steve, Count Down: Six Kids Vie for Glory at the World's Toughest Math Competition. Reviewed by Kathryn Weld
  
• Oprea, John, The Mathematics of Soap Films: Explorations with Maple¸. Reviewed by Helen Moore
  
• Overbye, Dennis, Einstein in Love. Reviewed by Andrew Leahy
  
• Pais, Abraham, The Genius of Science: a Portrait Gallery. Briefly noted.
  
• Panik, Michael J., Advanced Statistics from an Elementary Point of View. Reviewed by Darren Glass
  
• Papadimitriou, Christos H., Turing (A Novel about Computation). Reviewed by Darren Glass
  
• Parker, Marla, editor, She Does Math!, Reviewed by Lynette I. Millett
  
• Parker, John, R. L. Moore: Mathematician & Teacher. Reviewed by David E. Zitarelli
  
• Parshall, Karen Hunger, James Joseph Sylvester: Life and Work in Letters, reviewed by June Barrow-Green
  
• Parshall, Karen Hunger, and Adrian C. Rice, eds., Mathematics Unbound: The Evolution of an International Mathematical Research Community, 1800–1945. Reviewed by Stacy Langton
  
• Parzen, Emauel, Stochastic Processes. Briefly noted.
  
• Pears, Iain, An Instance of the Fingerpost, Reviewed by Ed Sandifer
  
• Penrose, Roger, The Road to Reality: A Complete Guide to the Laws of the Universe. Reviewed by David M. Bressoud
  
• Pesic, Peter, Abel's Proof: An Essay on the Sources and Meaning of Mathematical Unsolvability. Reviewed by David Graves
  
• Peterson, Ivars, Fragments of Infinity: A Kaleidoscope of Math and Art. Reviewed by Marvin Schaefer
  
• Peterson, Ivars, The Jungles of Randomness, Reviewed by Dex Whittinghill
  
• Peterson, Ivars, Mathematical Treks: From Surreal Numbers to Magic Circles. Reviewed by Richard K. Guy
  
• Peterson, Ivars, and Nancy Henderson, Math Trek: Adventures in the MathZone, Reviewed by Mary Shepherd
  
• Petsinis, Tom, The French Mathematician, Reviewed by David P. Roberts
  
• Phillips, George M., Two Millennia of Mathematics: From Archimedes to Gauss. Reviewed by Mary Shepherd.
• Pickover, Clifford A., The Mathematics of Oz. Reviewed by Charles Ashbacher
  
• Pickover, Clifford A., Surfing Through Hyperspace, by Clifford A. Pickover, Reviewed by Michele Intermont
  
• Pier, Jean-Paul, ed., The Development of Mathematics, 1950-2000. Briefly noted.
  
• Pipes, Richard, The Degaev Affair: Terror and Treason in Tsarist Russia. Reviewed by Karen Hunger Parshall
  
• Playfair, William, The Commercial and Political Atlas and Statistical Breviary. Reviewed by Gudmund Iversen
  
• Polster, Burkard, A Geometrical Picture Book, Reviewed by Elena Anne Marchisotto
  
• Polster, Burkhard, The Mathematics of Juggling. Reviewed by Kevin R. Burger
  
• Pook, Les, Flexagons Inside Out. Reviewed by Robert McGuigan
  
• Porter, Theodore M., Karl Pearson: The Scientific Life in a Statistical Age. Briefly noted
  
• Posamentier, Alfred A. and Ingmar Lehmann, π: A Biography of the World's Most Mysterious Number. Reviewed by David A. Huckaby
  
• Poundstone, William, Fortune's Formula: The Untold Story of the Scientific Betting System that Beat the Casinos and Wall Street. Reviewed by Toby Donaldson
  
• Prakash, Nirmala, Mathematical Perspectives on Theoretical Physics. Reviewed by Michael Berg
  
• Prasolov, V. V., Essays on Numbers and Figures. Reviewed by Steven Morics
  
• Pressley, Andrew, Elementary Differential Geometry. Briefly noted.
  
• Pritchard, Chris, ed., The Changing Shape of Geometry: Celebrating a Century of Geometry and Geometry Teaching. Reviewed by Alexander Bogomolny
  
• Radin, Charles, Miles of Tiles, Reviewed by Carl D. Mueller
  
• Rahman, Matiur, and Isaac Mulolani, Applied Vector Analysis. Briefly noted.
  
• Rédei, Miklós, ed., John von Neumann: Selected Letters. Reviewed by Darren Glass
  
• Reid, Constance, Julia: a life in mathematics, Reviewed by Fernando Gouvêa
  
• Reid, Constance, A Long Way From Euclid. Reviewed by Sandra Kingan
  
• Reiter, Harold B., The Contest Problem Book: American Mathematics Competitions 1995-2000 Contests, Book VII. Reviewed by Brian Borchers
  
• Renn, Jürgen, ed., Albert Einstein, Chief Engineer of the Universe: One Hundred Authors for Einstein, Einstein's Life and Work in Context and Documents of a Life's Pathway (three volunes). Reviewed by Amy Shell-Gellasch
  
• Ribenboim, Paulo, Fermat's Last Theorem for Amateurs, Reviewed by David Graves
  
• Ribenboim, Paulo, My Numbers, My Friends: Popular Lectures on Number Theory. Reviewed by Marvin Schaefer
  
• Richards, Joan, Angles of Reflection: Logic and Mother's Love. Reviewed by Libby Krussel
  
• Rishel, Thomas W., Teaching First: A Guide for New Mathematicians. Reviewed by Solomon Friedberg
  
• Robert, Alain M., Linear Algebra: Examples and Applications. Reviewed by Luiz Henrique de Figueiredo
  
• Roberts, A. Wayne, Minnesota Math League XXV. Reviewed by Underwood Dudley
  
• Roberts, Paul C., Multiplicities and Chern Classes in Local Algebra. Briefly noted.
  
• Rocchi, Paolo, The Structural Theory of Probability: New Ideas from Computer Science on the Ancient Problem of Probability Interpretation. Briefly noted
  
• Rockmore, Dan, Stalking the Riemann Hypothesis: The Quest to Find the Hidden Law of Prime Numbers. Reviewed by S. W. Graham
  
• Rogers, Elizabeth C., Barbara E. Reynolds, Neil A. Davidson, and Anthony D. Thomas, eds., Cooperative Learning in Undergraduate Mathematics: Issues that Matter and Strategies that Work. Reviewed by Andrew Perry.
  
• Ronan, Mark, Symmetry and the Monster: One of the Greatest Quests of Mathematics. Reviewed by Darren Glass
  
• Rosen, Kenneth A., Elementary Number Theory and its Applications, 5th Edition. Reviewed by David P. Roberts
  
• Ross, Clay C., Differential Equations: An Introduction with Mathematica, Second Edition. Briefly noted.
  
• Ross, Ken, A Mathematician at the Ballpark: Odds and Probabilities for Baseball Fans. Reviewed by Steve Morics
  
• Rota, Gian-Carlo, Indiscrete Thoughts, Reviewed by Andrew Leahy
  
• Rothman, Tony, Everything's Relative and Other Fables from Science and Technology. Reviewed by Donald L. Vestal
  
• Rothstein, Edward, Emblems of Mind, Reviewed by Shai Simonson
  
• Rubenstein, Rheta and Charlene Beckmann and Denisse Thompson, Teaching and Learning Middle Grades Mathematics. Reviewed by George Ashline
  
• Runde, Volker, A Taste of Topology. Briefly noted
  
• Russo, Lucio, The Forgotten Revolution: How Science Was Born in 300 BC and Why It Had to Be Reborn. Reviewed by Samuel S. Kutler
  
• Saari, Donald G., Chaotic Elections!. Reviewed by Edward W. Packel
  
• Saari, Donald G., ed., The Way It Was: Mathematics from the Early Years of the Bulletin. Reviewed by Kenneth A. Ross
  
• Sabbagh, Karl, The Riemann Hypothesis: The Greatest Unsolved Problem of Mathematics. Reviewed by S. W. Graham
  
• Salsburg, David, The Lady Tasting Tea. Reviewed by Marc H. Mehlman
  
• Sánchez, David A., Ordinary Differential Equations: A Brief Eclectic Tour. Reviewed by Henry Ricardo
  
• Sangalli, Arturo, The Importance of Being Fuzzy, Reviewed by Mark Johnson
  
• Saraiva, Luís, ed., History of Mathematical Sciences: Portugal and East Asia II — Scientific Practices and the Portuguese Expansion in Asia (1498-1759). Briefly noted
  
• Savchev, Svetoslav, and Titu Andreescu, Mathematical Miniatures. Reviewed by Ioana Mihaila
  
• Sawyer, W. W., Vision in Elementary Mathematics. Reviewed by Rick Seaman
  
• Saxe, Karen, Beginning Functional Analysis. Reviewed by Robert W. Vallin
  
• Schattschneider, Doris, M. C. Escher: Visions of Symmetry. Reviewed by Gerald L. Alexanderson
  
• Schechter, Bruce, My Brain is Open, Reviewed by Keith Devlin
  
• Scheffé, Henry, The Analysis of Variance. Briefly noted.
  
• Schell, Michael J., Baseball's All-Time Best Hitters, Reviewed by Randall J. Swift
  
• Schimmel, Annemarie, The Mystery of Numbers, Reviewed by Julian F. Fleron
  
• Schneider, Leo J., The Contest Problem Book VI: American High School Mathematics Examinations 1989-1994. Briefly noted.
  
• Schoenfeld, Alan, editor, Student Assessment in Calculus, Reviewed by Nkechi Madonna Agwu
  
• Schogt, Philibert, The Wild Numbers. Reviewed by Fernando Q. Gouvêa
  
• Schubring, Gert, Conflicts Between Generalization, Rigor, and Intuition: Number Concepts Underlying the Development of Analysis in 17th-19th Century France and Germany. Reviewed by Warren Johnson
  
• Schwartz, Laurent, A Mathematician Grappling with His Century. Reviewed by Robert Dobrow
  
• Scorpan, Alexandru, The Wild World of 4-Manifolds. Briefly noted
  
• Segal, Sanford L., Mathematicians under the Nazis. Reviewed by Reinhard Siegmund-Schultze
  
• Seife, Charles, Zero: The Biography of a Dangerous Idea, Reviewed by Andrew Leahy
  
• Selden, Annie, and Ed Dubinsky, Guershon Harel, and Fernando Hitt, eds., Research in Collegiate Mathematics Education V. Reviewed by T. J. Murphy
  
• Selin, Helaine, and Ubiratan D'Ambrosio, eds., Mathematics Across Cultures: The History of Non-Western Mathematics. Briefly noted.
  
• Semple, J. G., G. T. Kneebone, Algebraic Projective Geometry. Briefly noted.
  
• Senn, Steven, Dicing with Death: Chance, Risk and Health. Reviewed by Steven R. Dunbar
  
• Shafarevich, Igor R., Discourses on Algebra. Reviewed by Mihaela Poplicher
  
• Shasha, Dennis, Dr. Ecco, Mathematical Detective. Reviewed by Sandra Kingan
  
• Shen, A., and N. K. Verschagin, Basic Set Theory. Reviewed by Michael Berg
  
• Shenitzer, Abe and John Stilwell, eds., Mathematical Evolutions. Reviewed by David Graves
  
• Shiflet, Angela B. and George W. Shiflet, Introduction to Computational Science: Modeling and Simulation for the Sciences. Reviewed by William J. Satzer
  
• Siegmund-Schultze, Reinhard, Rockefeller and the Internationalization of Mathematics Between the Two World Wars: Documents and Studies for the Social History of Mathematics in the 20th Century. Reviewed by Karen Hunger Parshall
  
• Sierpiński, Wacław, Pythagorean Triangles. Reviewed by Donald L. Vestal
  
• Sigler, L. E., Fibonacci's Liber Abaci. Briefly noted
  
• Simmons, George F. and Steven G. Krantz, Differential Equations: Theory, Technique, and Practice. Reviewed by William J. Satzer
  
• Skiena, Steven, Calculated Bets. Reviewed by Andrew Perry
  
• Slavin, Steve, and Ginny Crisonino, Geometry: A Self-Teaching Guide. Reviewed by Kara Shane Colley
  
• Slocum, Jerry and Dic Sonneveld, The 15 Puzzle: How It Drove the World Crazy. Reviewed by Sarah Boslaugh
  
• Smith, Frank, The Glass Wall: Why Mathematics Can Seem Difficult. Reviewed by P. N. Ruane
  
• Smith, Robert T. and Roland B. Minton, Calculus: Concepts & Connections. Briefly noted
  
• Sohrab, Houshang H., Basic Real Analysis. Reviewed by Underwood Dudley
  
• Sossinsky, Alexei, Knots: Mathematics with a Twist, translated by Giselle Weiss. Reviewed by Philip D. Straffin
  
• Spencer, Adam, Adam Spencer's Book of Numbers. Reviewed by Thomas J. Pfaff
  
• Spivak, Michael, A Hitchhiker's Guide to the Calculus, Reviewed by Fernando Gouvêa
  
• Stahl, Saul, Real Analysis - A Historical Approach, Reviewed by Ioana Mihaila
  
• Stedall, Jacqueline, The Arithmetic of Infinitesimals: John Wallis 1656. Briefly noted
  
• Stedall, Jacqueline, A Discourse Concerning Algebra: English Algebra to 1685. Reviewed by Eisso Atzema
  
• Stedall, Jacqueline A., The Greate Invention of Algebra: Thomas Harriot's Treatise on Equations. Briefly noted
  
• Steele, J. Michael, The Cauchy-Schwarz Master Class. Reviewed by Leo Livshits
  
• Steen, Lynn Arthur, Achieving Quantitative Literacy. Reviewed by Charlotte Chell
  
• Steen, Lynn Arthur, ed., Math & Bio 2010: Linking Undergraduate Disciplines. Reviewed by Judy Holdener
  
• Steen, Lynn Arthur, Executive Editor, Mathematics and Democracy: The Case for Quantitative Literacy, prepared by The National Council on Education and the Disciplines. Reviewed by Steven R. Dunbar
  
• Steen, Lynn Arthur, ed., Supporting Assessment in Undergraduate Mathematics. Reviewed by Dennis Lomas
  
• Stein, Elias M. and Rami Shakarchi, Fourier Analysis: An Introduction. Briefly noted
  
• Stein, Sherman, Archimedes: What Did He Do Besides Cry Eureka?, Reviewed by Ed Sandifer
  
• Stein, Sherman, How the Other Half Thinks. Reviewed by Stacy Langton
  
• Stein, Sherman, Strength in Numbers, Reviewed by Keith Devlin
  
• Sterrett, Andrew, editor, 101 Careers in Mathematics, Reviewed by Yawa Dusé-Anthony
  
• Sterrett, Andrew, ed., 101 Careers in Mathematics, second edition. Briefly noted.
  
• Stephenson, Neal, Cryptonomicon. Briefly noted.
  
• Stewart, Ian, Another Fine Math You've Got Me Into.... Reviewed by Amy Shell-Gellasch
  
• Stewart, Ian, Flatterland. Reviewed by Thomas F. Banchoff
  
• Stewart, Ian, Letters to a Young Mathematician. Reviewed by Fernando Q. Gouvêa
  
• Stewart, Ian, The Magical Maze: Seeing the World through Mathematical Eyes, Reviewed by Sean Bradley
  
• Stigler, James W., and James Hiebert, The Teaching Gap, Reviewed by Rick Seaman
  
• Stopes-Roe, Mary, Mathematics with Love: The Courtship Correspondence of Barnes Wallis, Inventor of the Bouncing Bomb. Reviewed by Fernando Q. Gouvêa
  
• Stopple, Jeffrey, A Primer of Analytic Number Theory: From Pythagoras to Riemann. Reviewed by S. W. Graham
  
• Straley, Tina H., and Marcia P. Sward and Jon W. Scott, eds., Leading the Mathematical Sciences Department: A Resource for Chairs. Reviewed by John D. Fulton
  
• Strogatz, Steven, SYNC: The Emerging Science of Spontaneous Order. Reviewed by Philip J. Davis
  
• Stubhaug, Arild, The Mathematician Sophus Lie: It Was the Audacity of My Thinking. Reviewed by Jeremy Gray
  
• Stubhaug, Arild, Niels Henrik Abel and his Times: Called Too Soon by Flames Afar. Reviewed by Jeremy J. Gray
  
• Suppes, Patrick, and Shirley A. Hill, A First Course in Mathematical Logic. Briefly noted.
  
• Suppes, Patrick, Julius M. Moravcsik, and Henry Mendell, eds. Ancient & Medieval Traditions in the Exact Sciences: Essays in Memory of Wilbur Knorr. Briefly noted.
  
• Sussman, Gerald Jay, and Jack Wisdom, Structure and Interpretation of Classical Mechanics. Briefly noted.
  
• Swallow, John, Exploratory Galois Theory. Briefly noted
  
• Swerdlow, N. N., The Babylonian Theory of the Planets, Reviewed by Stacy G. Langton
  
• Swetz, Frank J., Legacy of the Luoshu. Reviewed by Phillip D. Straffin
  
• Swinnerton-Dyer, H. P. F., A Brief Guide to Algebraic Number Theory. Briefly noted.
  
• Szpiro, George G., The Secret Life of Numbers: 50 Easy Pieces on How Mathematicians Work and Think. Reviewed by William J. Satzer
  
• Tabachnikov, Serge, Geometry and Billiards. Reviewed by William J. Satzer
  
• Tabahnikov, Serge, ed., Kvant Selecta: Combinatorics I. Reviewed by Mihaela Poplicher
  
• Tait, William, The Provenance of Pure Reason: Essays in the Philosophy of Mathematics and Its History. Reviewed by Bonnie Gold
  
• Tanton, James, Solve This: Math Activities for Students and Clubs. Reviewed by Herbert E. Kasube
  
• Tapp, Kristopher, Matrix Groups for Undergraduates. Reviewed by David P. Roberts
  
• Tattersall, James J., Elementary Number Theory in Nine Chapters. Briefly noted.
  
• Taylor, Alan D., Social Choice and the Mathematics of Manipulation. Reviewed by Darren Glass
  
• Tenenbaum, Gérald, and Michel Mendès-France, The Prime Numbers and their Distribution. Reviewed by Michael Berg
  
• Terrall, Mary, The Man Who Flattened the Earth: Maupertuis and the Sciences in the Enlightenment. Reviewed by Ed Sandifer
  
• Thakur, Dinesh, Function Field Arithmetic. Briefly noted
  
• Tisseyre, François, director, The CMI Millennium Meeting Video Collection. Reviewed by David P. Roberts
  
• Todhunter, Isaac, Plane Trigonometry for the Use of Colleges and Schools, With Numerous Examples. Briefly noted.
  
• Torchinsky, Alberto, Real-Variable Methods in Harmonic Analysis. Reviewed by Kenneth A. Ross
  
• Tufte, Edward R., Beautiful Evidence. Reviewed by Sarah Boslaugh
  
• Tweddle, Ian, James Stirling's Methodus Differentialis: An Annotated Translation of Stirling's Text. Briefly noted
  
• Tweed Museum, Contemporary Art and the Mathematical Instinct, including articles by Stephen Luecking, John Sims, and Dennis White. Briefly noted
  
• Twomey, S., Introduction to the Mathematics of Inversion in Remote Sensing and Indirect Measurements. Briefly noted.
  
• Ueno, Kenji and Koji Shiga and Shigeyuki Morita, A Mathematical Gift I: The interplay between topology, functions, geometry, and algebra. Reviewed by Hortensia Soto-Johnson
  
• Vaderlind, Paul, Richard Guy and Loren Larson, The Inquisitive Problem Solver. Reviewed by Dick Fellow
  
• Vallée, Olivier, and Manuel Soares, Airy Functions and Applications to Physics. Reviewed by Warren Johnson
  
• van der Waerden, B. L., Algebra, volumes I and II. Briefly noted
  
• Varadarajan, V. S., Algebra in Ancient and Modern Times, Reviewed by Ed Sandifer
  
• Varadarajan, V. S., Euler Through Time: A New Look at Old Themes. Reviewed by Fernando Q. Gouvêa
  
• Vassilev, V. S., Introduction to Topology. Briefly noted.
  
• Väth, Martin, Integration Theory: A Second Course. Briefly noted.
  
• Vazsonyi, Andrew, Which Door Has the Cadillac: Adventures of a Real Life Mathematician. Reviewed by Nancy C. Weida
  
• Vorobiev, Nicolai N., Fibonacci Numbers. Reviewed by Raymond N. Greenwell
  
• Wagon, Stan and Wolfram Research, The Mathematical Explorer. Reviewed by Marvin Schaefer
  
• Wainer, Harold, Graphic Discovery: A Trout in the Milk and Other Visual Adventures. Reviewed by Raymond N. Greenwell
  
• Waismann, Friedrich, Introduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics. Reviewed by Marion Cohen
  
• Wallace, David Foster, Everything and More: A Compact History of ∞. Reviewed by Darren Glass
  
• Walser, Hans, 99 Points of Intersection: Examples, Pictures, Proofs. Reviewed by Mihaela Poplicher
  
• Walser, Hans, The Golden Section. Reviewed by Underwood Dudley
  
• Walser, Hans, Symmetry. Reviewed by Michele Intermont.
  
• Wapner, Leonard M., The Pea and the Sun. Reviewed by David M. Bressoud
  
• Wasserman, Larry, All of Statistics: A Concise Course in Statistical Inference. Reviewed by Gudmund R. Iversen
  
• Watkins, John J., Across the Board: The Mathematics of Chessboard Problems. Briefly noted
  
• Wayne W. Daniel, Biostatistics: A Foundation for Analysis in the Health Sciences. Briefly noted
  
• Webster, Miriam, After Math. Reviewed by Karen Saxe
  
• Weeks, Jeffrey R., The Shape of Space. Reviewed by Colin Adams
  
• Weinreich, Gabriel, Geometrical Vectors, Reviewed by Fernando Gouvêa
  
• Weiss, Richard M., The Structure of Spherical Buildings. Briefly noted
  
• Wells, David, Book of Curious and Interesting Puzzles. Reviewed by Fernando Q. Gouvêa
  
• Wickless, W. J., A First Graduate Course in Abstract Algebra. Briefly noted
  
• Widdows, Dominic, Geometry and Meaning. Reviewed by Annalisa Crannell
  
• Winkler, Peter, Mathematical Puzzles: A Connoisseur's Collection. Reviewed by James Tanton
  
• Wilson, Alistair Macintosh, The INFINITE in the finite , Reviewed by Elena Anne Marchisotto
  
• Wilson, Robin, Four Colors Suffice: How the Map Problem Was Solved. Reviewed by G. L. Alexanderson
  
• Wilson, Robin, Stamping Through Mathematics. Reviewed by Victor Katz.
  
• Wilson, Robin, and Jeremy Gray, eds., Mathematical Conversations. Reviewed by Branislav Kisacanin
  
• Winfree, Arthur T., The Geometry of Biological Time. Briefly noted
  
• Wolf, Robert S., Proof, Logic, and Conjecture: The Mathematician's Toolbox, Reviewed by Kenneth A. Ross
  
• Wolf-Wendel, Lisa and Susan B. Twombly and Suzanne Rice, The Two-Body Problem: Dual-Career-Couple Hiring Practices in Higher Education. Reviewed by Karen Saxe
  
• Wolfram, Stephen, A New Kind of Science. Reviewed by Henry Cohn
  
• Woodhouse, N. M. J., Special Relativity. Briefly noted
  
• Woods, R. Grant, Calculus Mysteries & Thrillers, Reviewed by Jeremy Case
  
• Yandell, Benjamin H., The Honors Class: Hilbert's Problems and their Solvers. Reviewed by Herbert E. Kasube
  
• Yaschenko, V. V., ed., Cryptography: An Introduction. Briefly noted
  
• Yong, Lam Lay and Ang Tian Se, Fleeting Footsteps: Tracing the Conception of Arithmetic and Algebra in Ancient China. Reviewed by Yibao Xu