Combinatorics and Discrete Mathematics

• Across the Board: The Mathematics of Chessboard Problems, by John J. Watkins. Briefly noted
  
• Axiomatic Consensus Theory in Group Choice and Biomathematics, by William H. E. Day and F. R. McMorris. Reviewed by Donald G. Saari
  
• The Basic George B. Dantzig, ed. by Richard W. Cottle. Briefly noted
  
• Chaotic Elections!, by Donald G. Saari. Reviewed by Edward W. Packel
  
• Codebreakers: Arne Beurling and the Swedish Crypto Program During World War II, by Bengt Beckman. Reviewed by Donald L. Vestal
  
• Combinatorics, by Daniel A. Marcus. Reviewed by Ruth Michler
  
• Combinatorics and Graph Theory, by John M. Harris, Jeffry L. Hirst, Michael J. Mossinghoff. Reviewed by Ioana Mihaila
  
• Counting on Frameworks: Mathematics to Aid the Design of Rigid Structures, by Jack E. Graver. Reviewed by Stacy G. Langton
  
• Cryptography: An Introduction, edited by V. V. Yaschenko. Briefly noted
  
• Cryptological Mathematics, by Robert Edward Lewand. Reviewed by Thomas R. Berger
  
• Discrete Algorithmic Mathematics, by Stephen B. Maurer and Anthony Ralston. Reviewed by Alex Bogomolny
  
• Discrete Mathematics: Elementary and Beyond, by L. Lovasz, J. Pelikan, and K. Vesztergombi. Reviewed by Michele Intermont
  
• Dissections: Plane & Fancy, by Greg N. Frederickson. Reviewed by Sherman Stein
  
• Elementary Number Theory, Group Theory and Ramanujan Graphs, by Giuliana Davidoff, Peter Sarnak. and Alain Valette. Briefly noted
  
• Fibonacci Numbers, by Nicolai N. Vorobiev. Reviewed by Raymond N. Greenwell
  
• Flexagons Inside Out, by Les Pook. Reviewed by Robert McGuigan
  
• Four Colors Suffice: How the Map Problem Was Solved, by Robin Wilson. Reviewed by G. L. Alexanderson
  
• Games of No Chance, edited by Richard J. Nowakowski. Reviewed by Ed Sandifer
  
• Graph Theory 1736-1936, by N. L. Biggs, E. K. Lloyd, and R. J. Wilson. Briefly noted.
  
• Graphs, Algorithms and Optimization, by William Kocay and Donald L. Kreher. Briefly noted
  
• Hinged Dissections: Swinging & Twisting, by Greg N. Frederickson. Briefly noted
  
• Identification Numbers and Check Digit Schemes, by Joseph Kirtland. Reviewed by Doug Ensley.
  
• In Code: A Mathematical Journey, by Sarah Flannery with David Flannery. Reviewed by Marvin Schaefer
  
• An Introduction to Game-Theoretic Modelling, by Michael Mesterton-Gibbons. Reviewed by Henry Cohn
  
• Introduction to Graph Theory, by Gary Chartrand and Ping Zhang. Reviewed by Donald L. Vestal
  
• Kvant Selecta: Combinatorics I, ed. by Serge Tabachnikov. Reviewed by Mihaela Poplicher
  
• Lectures on Generating Functions, by S. K. Lando. Briefly noted
  
• Mathematical Connections, by Al Cuoco. Reviewed by Stephen B. Maurer
  
• Mathematical Problems and Proofs: Combinatorics, Number Theory, and Geometry, by Branislav Kisacanin. Reviewed by Carl D. Mueller
  
• The Mathematics of Juggling, by Burkard Polster. Reviewed by Kevin R. Burger
  
• Miles of Tiles, by Charles Radin. Reviewed by Carl D. Mueller
  
• More Games of No Chance, ed. by Richard J. Nowakowsky. Reviewed by Ed Sandifer
  
• A New Kind of Science, by Stephen Wolfram. Reviewed by Henry Cohn
  
• New Visual Perspectives on Fibonacci Numbers, by Krassimir Atanassova, Vassia Atanassova, Anthony Shannon and John Turner. Briefly noted
  
• On Numbers and Games, by John Conway. Second Edition. Briefly noted.
  
• Oval Track and other Permutation Puzzles, and just enough group theory to solve them, by John O. Kiltinen. Reviewed by Ruth I. Berger
  
• Pascal's Arithmetical Triangle: The story of a mathematical idea, by A. W. F. Edwards. Reviewed by Herbert E. Kasube
  
• A Path to Combinatorics for Undergraduates: Counting Strategies, by Titu Andreescu and Zuming Feng. Briefly noted
  
• Proofs and Confirmations: The Story of the Alternating Sign Matrix Conjecture, by David M. Bressoud. Reviewed by Michele Intermont
  
• Proofs that Really Count, by Arthur T. Benjamin and Jennifer J. Quinn. Reviewed by Darren Glass
  
• Ramsey Theory on the Integers, by Bruce M. Landman and Aaron Robertson. Reviewed by Mihaela Poplicher
  
• Selected Papers of Alan Hoffman with Commentary, edited by Charles A. Micchelli. Briefly noted
  
• Selected Papers on Discrete Mathematics, by Donald E. Knuth. Briefly noted
  
• Social Choice and the Mathematics of Manipulation, by Alan D. Taylor. Reviewed by Darren Glass
  
• Topics in Intersection Graph Theory, by Terry A. McKee and F. R. McMorris. Briefly noted.
  
• Using the Borsuk-Ulam Theorem: Lectures on Topological Methods in Combinatorics and Geometry, by Jiří Matoušek. Reviewed by Mihaela Poplicher
  
• Winning Ways, by Elwyn R. Berlekamp, John H. Conway, and Richard K. Guy. Volume 1, Second Edition. Briefly noted.
  
• Winning Ways for Your Mathematical Plays, by Elwyn R. Berlekamp, John H. Conway, and Richard K. Guy. Volume 2, Second Edition. Briefly noted
  
• Winning Ways for Your Mathematical Plays, volume 3, by Elwyn W. Berlekamp, John H. Conway, and Richard K. Guy. Briefly noted