History and Biography
- The 15 Puzzle: How It Drove the World Crazy, by Jerry Slocum and Dic Sonneveld. Reviewed by Sarah Boslaugh
- 777 Mathematical Conversation Starters, by John dePillis. Briefly noted
- Abel's Proof: An Essay on the Sources and Meaning of Mathematical Unsolvability, by Peter Pesic. Reviewed by David Graves.
- Adolph Zeising: The Life and Work of a German Intellectual , by Roger Herz-Fischler. Briefly noted
- The Advent of the Algorithm, by David Berlinski. Reviewed by Allen B. Downey
- 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), ed. by Jürgen Renn. Reviewed by Amy Shell-Gellasch
- Alfred Tarski: Life and Logic, by Anita Burdman Feferman and Solomon Feferman. Reviewed by Amy Shell-Gellasch
- Angles of Reflection: Logic and Mother's Love, by Joan Richards. Reviewed by Libby Krussel
- Algebra in Ancient and Modern Times, by V. S. Varadarajan. Reviewed by Ed Sandifer
- Ancient & Medieval Traditions in the Exact Sciences: Essays in Memory of Wilbur Knorr, ed. by Patrick Suppes, Julius M. Moravcsik, and Henry Mendell. Briefly noted.
- The Application of Mathematics to the Sciences of Nature: Critical Moments and Aspects, ed. by Paola Cerrai, Paolo Freguglia, and Claudio Pellegrini. Reviewed by Bonnie Shulman
- Archimedes: What Did He Do Besides Cry Eureka?, by Sherman Stein. Reviewed by Ed Sandifer
- The Arithmetic of Infinitesimals: John Wallis 1656, by Jacqueline A. Stedall. Briefly noted
- The Art of Conjecturing, together with "Letter to a Friend on Sets in Court Tennis", by Jacob Bernoulli, translated with an introduction and notes by Edith Dudley Sylla. Reviewed by Fernando Q. Gouvêa
- The Babylonian Theory of the Planets, by N. M. Swerdlow. Reviewed by Stacy G. Langton
- The Beginnings and Evolution of Algebra, by Isabella Bashmakova and Galina Smirnova. Reviewed by G. L. Alexanderson
- Bernhard Riemann 1826-1866, by Detlef Laugwitz. Reviewed by David Roberts
- Bernhard Riemann, Collected Papers, translated by Roger Baker, Charles Christenson and Henry Orde. Reviewed by Fernando Q. Gouvêa
- The Biology of Numbers: The Correspondence of Vito Volterra on Mathematical Biology, ed. by Giorgio Israel and Ana Millán Gasca. Briefly noted.
- Bourbaki: A Secret Society of Mathematicians, by Maurice Mashaal. Reviewed by Michael Berg
- Cardano's Cosmos: The Worlds and Works of a Renaissance Astrologer, by Anthony Grafton. Briefly noted.
- Celestial Encounters: The Origins of Chaos and Stability, by Florin Diacu and Philip Holmes. Briefly noted.
- Chance and Choice: Memorabilia, by Kai Lai Chung. Briefly noted
- Classics in the History of Greek Mathematics, ed. by Jean Christianidis. Reviewed by Fernando Q. Gouvêa
- Codebreakers: Arne Beurling and the Swedish Crypto Program During World War II, by Bengt Beckman. Reviewed by Donald L. Vestal
- Cogwheels of the Mind: The Story of Venn Diagrams, by A. W. F. Edwards. Reviewed by Darren Glass
- The Commercial and Political Atlas and Statistical Breviary, by William Playfair. Reviewed by Gudmund Iversen
- Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences, two volumes, edited by I. Grattan-Guinness. Briefly noted
- Conflicts Between Generalization, Rigor, and Intuition: Number Concepts Underlying the Development of Analysis in 17th-19th Century France and Germany, by Gert Schubring. Reviewed by Warren Johnson
- Constantin Carathéodory: Mathematics and Politics in Turbulent Times, by Maria Georgiadou. Reviewed by Michael Berg
- A Contextual History of Mathematics: to Euler, by Ronald Calinger. Reviewed by Eisso Atzema
- Correspondence of John Wallis (1616–1703), Volume I (1641–1659), ed. by Philip Beeley and Christoph J. Scriba. Briefly noted
- Creators of Mathematics: The Irish Connection, ed. by Ken Houston. Briefly noted.
- The Degaev Affair: Terror and Treason in Tsarist Russia, by Richard Pipes. Reviewed by Karen Hunger Parshall
- The Development of Mathematics, 1950-2000, ed. by Jean-Paul Pier. Briefly noted.
- The Development of Prime Number Theory, by W. Narkiewicz. Briefly noted.
- Dicing with Death: Chance, Risk and Health, by Stephen Senn. Reviewed by Steven R. Dunbar
- Diophantus and Diophantine Equations, by Isabella Grigoryevna Bashmakova. Reviewed by David Graves
- A Discourse Concerning Algebra: English Algebra to 1685, by Jacqueline Stedall. Reviewed by Eisso Atzema
- Early History of Mathematics, by Tom M. Apostol. Reviewed by David Graves
- The Education of a Mathematician, by Philip J. Davis. Reviewed by P. N. Ruane
- Einstein in Love, by Dennis Overbye. Reviewed by Andrew Leahy
- Episodes from the Early History of Astronomy, by Asger Aaboe. Reviewed by Tom Brennan
- Episodes in the Mathematics of Medieval Islam, by J. L. Berggren. Briefly noted
- The Equation that Couldn't Be Solved: How Mathematical Genius Discovered the Language of Symmetry, by Mario Livio. Reviewed by Darren Glass
- Essays on Early Medieval Mathematics, by Menso Folkerts. Briefly noted
- Essays on the History of Mechanics, ed. by Antonio Becchi, Massimo Corradi, Federico Foce, Orietta Pedemonte. Briefly noted
- The Essential Turing, ed. by B. Jack Copeland. Briefly noted
- Euclid: the Creation of Mathematics, by Benno Artmann. Reviewed by Stacy G. Langton
- Euclid's Elements, translated by Thomas L. Heath, edited by Dana Densmore. Briefly noted.
- Euler: The Master of Us All, by William Dunham, Reviewed by Ed Sandifer
- Euler Through Time: A New Look at Old Themes, by V. S. Varadarajan. Reviewed by Fernando Q. Gouvêa
- Everything and More: A Compact History of ∞, by David Foster Wallace. Reviewed by Darren Glass
- Everything's Relative and Other Fables from Science and Technology, by Tony Rothman. Reviewed by Donald L. Vestal
- Extension Theory, by Hermann Grassmann. Briefly Noted.
- The Fermat Diary, by C. J. Mozzochi. Reviewed by Robert A. McGuigan
- Fibonacci's Liber Abaci, by L. E. Sigler. Briefly noted
- Fleeting Footsteps: Tracing the Conception of Arithmetic and Algebra in Ancient China, by Lam Lay Yong and Ang Tian Se. Reviewed by Yibao Xu
- The Forgotten Revolution: How Science Was Born in 300 BC and Why It Had to Be Reborn, by Lucio Russo. Reviewed by Samuel S. Kutler
- Foundations of the Differential Calculus, by Leonhard Euler, translated by John D. Blanton. Briefly noted.
- Four Colors Suffice: How the Map Problem Was Solved, by Robin Wilson. Reviewed by G. L. Alexanderson
- Fractals and Chaos: The Mandelbrot Set and Beyond, by Benoit B. Mandelbrot. Reviewed by Mihaela Poplicher
- From Discrete to Continuous: The Broadening of Number Concepts in Early Modern England, by Katherine Neal. Reviewed by Eisso Atzema
- From Eudoxus to Einstein: A History of Mathematical Astronomy, by C. M. Linton. Reviewed by Glen Van Brummelen
- From Kant to Hilbert: a Source Book in the Foundations of Mathematics, ed by William Ewald. Briefly noted.
- Galileo at Work: His Scientific Biography, by Stillman Drake. Briefly noted
- Galileo: When the World Stood Still, by Atle Næss. Reviewed by Alexander J. Hahn
- Gauss: Titan of Science, by G. Waldo Dunnington, with additional material by Jeremy Gray and Fritz-Egbert Dohse. Reviewed by Michael Berg
- The Genius of Science: a Portrait Gallery, by Abraham Pais. Briefly noted.
- Geometry Civilized: History, Culture, and Technique, by J. L. Heilbron. Reviewed by David Fowler
- Geometry from Africa: Mathematical and Educational Explorations, by Paulus Gerdes. Reviewed by Karen Dee Michalowicz
- Geometry: Our Cultural Heritage, by Audun Holme. Reviewed by Mihaela Poplicher
- George Green, Mathematician and Physicist, 1793-1841, by D. M. Cannell. Reviewed by David Graves
- Gnomes in the Fog, by Dennis E. Hesseling. Reviewed by Bonnie Shulman
- God Created the Integers: The Mathematical Breakthroughs that Changed History, ed. by Stephen Hawking. Reviewed by Fernando Q. Gouvêa
- Graph Theory 1736-1936, by N. L. Biggs, E. K. Lloyd, and R. J. Wilson. Briefly noted.
- The Greate Invention of Algebra: Thomas Harriot's Treatise on Equations, by Jacqueline A. Stedall. Briefly noted
- Grothendieck-Serre Correspondence: Bilingual Edition. Briefly noted
- The Hilbert Challenge, by Jeremy J. Gray. Reviewed by David Graves
- Historical Modules for the Teaching and Learning of Mathematics, ed. by Victor J. Katz and Karen Dee Michalowicz. Reviewed by John McCleary
- A History of Algorithms: From the Pebble to the Microchip, Ed. by Jean-Luc Chabert. Reviewed by Ed Sandifer
- A History of Geometrical Methods, by Julian Lowell Coolidge. Reviewed by P. N. Ruane
- History of Mathematical Sciences: Portugal and East Asia II — Scientific Practices and the Portuguese Expansion in Asia (1498-1759), ed. by Luís Saraiva. Briefly noted
- A History of Mathematical Tables, ed. by Martin Campbell-Kelly, Mary Croarken, Raymond Flood, and Eleanor Robson. Briefly noted
- A History of Mathematics: From Mesopotamia to Modernity, by Luke Hodgkin. Reviewed by Herbert Kasube
- The Honors Class: Hilbert's Problems and their Solvers, by Benjamin H. Yandell. Reviewed by Herbert E. Kasube
- Huygens: The Man Behind the Principle, by C. D. Andriesse. Reviewed by Steven Frankel
- I Want to Be a Mathematician... An Automathography, by Paul R. Halmos. Reviewed by Fernando Q. Gouvêa
- Indiscrete Thoughts, by Gian-Carlo Rota and Reviewed by Andrew Leahy
- An Imaginary Tale: The Story of the Square Root of -1, by Paul J. Nahin. Reviewed by Ed Sandifer
- Imagining Numbers (particularly the square root of minus fifteen), by Barry Mazur. Reviewed by Keith Devlin
- In Code: A Mathematical Journey, by Sarah Flannery with David Flannery. Reviewed by Marvin Schaefer
- Incompleteness: The Proof and Paradox of Kurt Gödel, by Rebecca Goldstein. Reviewed by John Martin
- The INFINITE in the finite , by Alistair Macintosh Wilson. Reviewed by Elena Anne Marchisotto
- Isaac Newton's Natural Philosophy, ed. by Jed Z. Buchwald and I. Bernard Cohen. Briefly noted
- Jacques Hadamard, A Universal Mathematician, by Vladimir Maz'ya and Tatyana Shaposhnikova. Reviewed by George L. Ashline
- James Joseph Sylvester: Life and Work in Letters, by Karen Hunger Parshall. Reviewed by June Barrow-Green
- James Stirling's Methodus Differentialis: An Annotated Translation of Stirling's Text, by Ian Tweddle. Briefly noted
- János Bolyai, Non-Euclidean Geometry, and the Nature of Space, by Jeremy J. Gray. Reviewed by Victor J. Katz
- John Pell (1611-1685) and His Correspondence with Sir Charles Cavendish: The Mental World of an Early Modern Mathematician, by Noel Malcolm and Jacqueline Stedall. Reviewed by Rob Bradley
- John von Neumann, by Norman Macrae. Briefly noted.
- John von Neumann: Selected Letters, ed. by Miklós Rédei. Reviewed by Darren Glass
- Julia: a life in mathematics, by Constance Reid. Reviewed by Fernando Q. Gouvêa
- Karl Pearson: The Scientific Life in a Statistical Age, by Theodore M. Porter. Briefly noted
- Kolmogorov in Perspective (History of Mathematics, volume 20). Briefly noted.
- The Lady Tasting Tea, by David Salsburg. Reviewed by Marc H. Mehlman
- Landmark Writings in Western Mathematics 1640-1940, ed. by I. Grattan-Guinness. Reviewed by Fernando Q. Gouvêa
- Lectures in Number Theory, by P. G. L. Dirichlet, with supplements by Richard Dedekind. Briefly noted.
- The Legacy of Niels Henrik Abel, ed. by Olav Arnfinn Laudal and Ragni Piene. Briefly noted
- Legacy of the Luoshu, by Frank J. Swetz. Reviewed by Phillip D. Straffin
- Lengths, Widths, Surfaces: a Portrait of Old Babylonian Algebra and its Kin, by Jens Høyrup. Reviewed by Eleanor Robson
- A Long Way From Euclid, by Constance Reid. Reviewed by Sandra Kingan
- The Man Who Flattened the Earth: Maupertuis and the Sciences in the Enlightenment, by Mary Terrall. Reviewed by Ed Sandifer
- The Man Who Loved Only Numbers, by Paul Hoffman. Reviewed by Keith Devlin
- A Manual of Greek Mathematics, by Sir Thomas L. Heath. Briefly noted
- The Math Life, a film by Wendy Conquest, Bob Drake, and Dan Rockmore. Reviewed by Henry Cohn
- Math through the Ages: A Gentle History for Teachers and Others, by William P. Berlinghoff and Fernando Q. Gouvêa. Reviewed by Victor J. Katz
- Mathematical Apocrypha Redux, by Steven G. Krantz, Reviewed by Michael Berg
- The Mathematical Century: The 30 Greatest Problems of the Last 100 Years, by Piergiorgio Odifreddi. Reviewed by P. N. Ruane
- Mathematical Circles, by Howard Eves. Six volumes in three. Briefly noted
- Mathematical Conversations, ed. by Robin Wilson and Jeremy Gray. Reviewed by Branislav Kisacanin
- Mathematical Encounters of the 2nd Kind, by Philip J. Davis. Reviewed by Ed Sandifer
- Mathematical Evolutions, ed. by Abe Shenitzer and John Stilwell. Reviewed by David Graves
- Mathematical Expeditions: Chronicles by the Explorers, by Reinhard Laubenbacher and David Pengelley. Reviewed by Daniel E. Otero
- Mathematical Reminiscences, by Howard Eves. Reviewed by Michael Berg.
- A Mathematician Grappling with His Century, by Laurent Schwartz. Reviewed by Robert Dobrow
- The Mathematician Sophus Lie: It Was the Audacity of My Thinking, by Arild Stubhaug. Reviewed by Jeremy Gray.
- Mathematicians under the Nazis, by Sanford L. Segal. Reviewed by Reinhard Siegmund-Schultze
- Mathematics Across Cultures: The History of Non-Western Mathematics, ed. by Helaine Selin and Ubiratan D'Ambrosio. Briefly noted.
- Mathematics and Social Utopias in France: Olinde Rodrigues and His Times, ed. by Simon Altmann and Eduardo L. Ortiz. Reviewed by David M. Bressoud
- Mathematics and the Divine, ed. by T. Koetsier and L. Bergmans. Reviewed by Calvin Jongsma
- Mathematics Elsewhere, by Marcia Ascher. Reviewed by Charles Ashbacher
- Mathematics: Frontiers and Perspectives, ed. by V. Arnold, M. Atiyah, P. Lax, and B. Mazur. Reviewed by David P. Roberts
- The Mathematics of Plato's Academy, by David Fowler. Reviewed by Fernando Q. Gouvêa
- Mathematics Unbound: The Evolution of an International Mathematical Research Community, 1800–1945, ed. by Karen Hunger Parshall and Adrian C. Rice. Reviewed by Stacy Langton
- Mathematics Unlimited--2001 and Beyond, edited by BjÀrn Engquist and Wilfried Schmid. Reviewed by David P. Roberts
- Mathematics with Love: The Courtship Correspondence of Barnes Wallis, Inventor of the Bouncing Bomb, by Mary Stopes-Roe. Reviewed by Fernando Q. Gouvêa
- Mathematics Without Borders: A History Of The International Mathematical Union, by Olli Lehto. Reviewed by Carl D. Mueller
- Measure for Measure: The Story of Imperial, Metric, and Other Units, by Alex Hebra. Briefly noted
- Measuring the Universe, by Kitty Ferguson. Briefly noted.
- Modern Mathematics in the Light of the Fields Medals, by Michael Monastyrsky. Reviewed by David P. Roberts
- Most Honorable Remembrance: The Life and Work of Thomas Bayes, by Andrew I. Dale. Briefly noted
- My Brain is Open, by Bruce Schechter. Reviewed by Keith Devlin
- Mystic, Geometer, and Intuitionist: The Life of L.E.J. Brouwer, Volume 1, by Dirk van Dalen. Reviewed by Bonnie Shulman
- Mystic, Geometer, and Intuitionist: The Life of L. E. J. Brouwer, Vol. 2: Hope and Disillusion, by Dirk van Dalen. Reviewed by Bonnie Shulman
- Niels Henrik Abel and his Times: Called Too Soon by Flames Afar, by Arild Stubhaug. Reviewed by Jeremy J. Gray
- Non-Euclidean Geometry in the Theory of Automorphic Functions, by Jacques Hadamard, edited by Jeremy J. Gray and Abe Shenitzer. Briefly noted.
- Notable Women in Mathematics: A Biographical Dictionary, edited by Charlene Morrow and Teri Perl. Reviewed by Libby Krussel
- The Nothing That Is, by Robert Kaplan. Reviewed by Andrew Leahy
- Number: from Ahmes to Cantor, by Midhat Gazalé. Reviewed by Marvin Schaefer
- Oxford Figures: 800 Years of the Mathematical Sciences, ed. by John Fauvel, Raymond Flood, and Robin Wilson Reviewed by Eisso Atzema
- Pappus of Alexandria and the Mathematics of Late Antiquity, by S. Cuomo. Briefly noted.
- Pascal's Arithmetical Triangle: The story of a mathematical idea, by A. W. F. Edwards. Reviewed by Herbert E. Kasube
- Paul Dirac: the man and his work, edited by Peter Goddard. Reviewed by Fernando Q. Gouvêa
- 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), by Ann E. Moyer. Briefly noted
- Pi: A Source Book, Third Edition, ed. by Lennart Berggren, Jonathan Borwein, and Peter Borwein. Briefly noted
- Pierre Simon Laplace, 1749-1827: A Life In Exact Science, by Charles Coulston Gillispie. Reviewed by Stacy G. Langton
- Pioneers of Representation Theory: Frobenius, Burnside, Schur, and Brauer, by Charles W. Curtis. Reviewed by Andrew Leahy
- Polyhedra, by Peter R. Cromwell. Reviewed by Ed Sandifer
- Portraits of the Earth: A Mathematician Looks at Maps, by Timothy G. Feeman. Reviewed by Robert W. Vallin
- Proofs and Confirmations: The Story of the Alternating Sign Matrix Conjecture, by David M. Bressoud. Reviewed by Michele Intermont
- R. L. Moore: Mathematician & Teacher, by John Parker. Reviewed by David E. Zitarelli
- The Random Walks of George Pólya, by Gerald L. Alexanderson. Reviewed by Manav Das
- Reading the Principia, by Niccoló Guicciardini. Reviewed by Jeremy Gray
- Real Analysis - A Historical Approach, by Saul Stahl. Reviewed by Ioana Mihaila
- Reasoning with the Infinite, by Michel Blay. Reviewed by Fernando Q. Gouvêa
- Redefining Geometrical Exactness: Descartes' Transformation of the Early Modern Concept of Construction, by Henk J. M. Bos. Briefly noted.
- Remarkable Mathematicians: From Euler to von Neumann, by Ioan James. Reviewed by Philip D. Straffin
- Rockefeller and the Internationalization of Mathematics Between the Two World Wars: Documents and Studies for the Social History of Mathematics in the 20th Century, by Reinhard Siegmund-Schultze. Reviewed by Karen Hunger Parshall
- The Saga of Mathematics, by Martin Lewinter and William Widulski. Reviewed by Ioana Mihaila
- Saunders Mac Lane: A Mathematical Autobiography, by Saunders Mac Lane. Reviewed by Amy Shell-Gellasch
- Science in Translation: Movements of Knowledge Through Cultures and Time, by Scott L. Montgomery. Reviewed by William R. Everdell
- The Science of Conjecture: Evidence and Probability before Pascal, by James Franklin. Briefly noted.
- The Search for Mathematical Roots, 1870-1940: Logics, Set Theories and the Foundations of Mathematics from Cantor through Russell to Gödel, by I. Grattan-Guinness. Reviewed by Marvin Schaefer
- The Shape of the Great Pyramid, by Roger Herz-Fischler. Reviewed by Underwood Dudley
- The Shaping of Deduction in Greek Mathematics: A study in cognitive history, by Reviel Netz. Reviewed by Christian Marinus Taisbak
- Sherlock Holmes in Babylon and Other Tales of Mathematical History, ed. by Marlow Anderson, Victor Katz, and Robin Wilson. Reviewed by Darren Glass
- Sir William Rowan Hamilton, by Thomas L. Hankins. Briefly noted
- Sophie's Diary: A Historical Fiction, by Dora Musielak. Reviewed by Judy Holdener
- Squaring the Circle: The War Between Hobbes and Wallis, by Douglas M. Jesseph. Reviewed by David Graves
- Stamping Through Mathematics, by Robin Wilson. Reviewed by Victor Katz.
- A Station Favorable to the Pursuits of Science: Primary Materials in the History of Mathematics at the United States Military Academy, by Joe Albree, David C. Arney, and V. Frederick Rickey. Briefly noted.
- Statisticians of the Centuries, edited by C.C. Heyde and E. Seneta. Reviewed by Andrew Leahy
- Stephen Smale: The Mathematician Who Broke the Dimension Barrier, by Steve Batterson. Reviewed by Shirley B. Gray
- Study the Masters: The Abel-Fauvel Conference, ed. by Otto B. Bekken and Reidar Mosvold. Reviewed by Victor J. Katz
- Thomas Harriot: An Elizabethan Man of Science, ed. by Robert Fox. Briefly noted.
- Trigonometric Delights, by Eli Maor. Reviewed by Sean Bradley
- The Triumph of Numbers: How Counting Shaped Modern Life, by I. B. Cohen. Reviewed by Judith V. Grabiner
- Two Millennia of Mathematics: From Archimedes to Gauss, by George M. Phillips. Reviewed by Mary Shepherd
- The Universal Computer: The Road from Leibniz to Turing, by Martin Davis. Reviewed by Mark Johnson
- Using History to Teach Mathematics: An International Perspective, ed. by Victor Katz. Reviewed by Ed Sandifer
- The Way It Was: Mathematics from the Early Years of the Bulletin, ed. by Donald G. Saari. Reviewed by Kenneth A. Ross
- When Computers Were Human, by David Grier. Reviewed by Amy Shell-Gellasch
- When Least is Best: How Mathematicians Discovered Many Clever Ways to Make Things as Small (or as Large) as Possible, by Paul Nahin. Reviewed by Bonnie Shulman
- Which Door Has the Cadillac: Adventures of a Real Life Mathematician, by Andrew Vazsonyi. Reviewed by Nancy C. Weida
- Women, Art, and Geometry in Southern Africa, by Paulus Gerdes. Reviewed by Walter S. Sizer
- The Works of Archimedes, ed. by T. L. Heath. Briefly noted.
- Writing the History of Mathematics: Its Historical Development, edited by Joseph W. Dauben and Christoph J. Scriba on behalf of the International Commission on the History of Mathematics. Briefly noted
- Zero: The Biography of a Dangerous Idea, by Charles Seife. Reviewed by Andrew Leahy
MAA Online is edited by Fernando Q. Gouvêa
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Last modified: Thu Oct 05 13:11:56 Eastern Daylight Time 2006