Book:Books/Discrete Mathematics

The following books covered on $\mathsf{Pr} \infty \mathsf{fWiki}$ discuss discrete mathematics in its various forms.

For a comprehensive list of books referenced on $\mathsf{Pr} \infty \mathsf{fWiki}$ (and more), see Books.

Books

• 1655: Blaise Pascal: Traité du Triangle Arithmétique
• 1954: G. Polya: Induction and Analogy in Mathematics

• 1962: Claude Berge and A. Ghouila-Houri: Programmes, Jeux et Réseaux de Transport
• 1963: Oystein Ore: Graphs and Their Uses
  • 1965: Claude Berge and A. Ghouila-Houri: Programming, Games and Transportation Networks (translated by Maxine Merrington and C. Ramanujacharyulu from Programmes, Jeux et Réseaux de Transport)

• 1966: Dov Jarden: Recurring Sequences (2nd ed.)

• 1968 +: Donald E. Knuth: The Art of Computer Programming
  • 1968: Donald E. Knuth: The Art of Computer Programming: Volume 1: Fundamental Algorithms
    • 1997: Donald E. Knuth: The Art of Computer Programming: Volume 1: Fundamental Algorithms (3rd ed.)
  • 1969: Donald E. Knuth: The Art of Computer Programming: Volume 2: Seminumerical Algorithms
    • 1998: Donald E. Knuth: The Art of Computer Programming: Volume 2: Seminumerical Algorithms (3rd ed.)
  • 1973: Donald E. Knuth: The Art of Computer Programming: Volume 3: Sorting and Searching
    • 1998: Donald E. Knuth: The Art of Computer Programming: Volume 3: Sorting and Searching (2nd ed.)

• 1989: Ronald L. Graham, Donald E. Knuth and Oren Patashnik: Concrete Mathematics: A Foundation for Computer Science
  • 1994: Ronald L. Graham, Donald E. Knuth and Oren Patashnik: Concrete Mathematics: A Foundation for Computer Science (2nd ed.)

• 1990: Herbert S. Wilf: generatingfunctionology
• 1999: Kenneth H. Rosen: Discrete Mathematics and Its Applications (4th ed.)
• 2000: Kenneth H. Rosen and John G. Michaels: Handbook of Discrete and Combinatorial Mathematics
• 2009: Steven G. Krantz: Discrete Mathematics Demystified

Graph Theory

• 1972: Robin J. Wilson: Introduction to Graph Theory
• 1976: J.A. Bondy and U.S.R. Murty: Graph Theory With Applications

• 1976: Richard J. Trudeau: Dots and Lines
  • 1993: Richard J. Trudeau: Introduction to Graph Theory

• 1977: Gary Chartrand: Introductory Graph Theory
• 1981: M.N.S. Swamy: Graphs, Networks and Algorithms
• 1981: H.N.V. Temperley: Graph Theory and its Applications
• 1990: Nora Hartsfield and Gerhard Ringel: Pearls in Graph Theory: A Comprehensive Introduction

• 1997: Reinhard Diestel: Graph Theory
  • 2000: Reinhard Diestel: Graph Theory (2nd ed.)
  • 2005: Reinhard Diestel: Graph Theory (3nd ed.)
  • 2010: Reinhard Diestel: Graph Theory (4nd ed.)

• 1998: Béla Bollobás: Modern Graph Theory
• 1998: O. Melnikov, V. Sarvanov, R. Tyshkevich, V. Yemelichev and I. Zverovich: Exercises in Graph Theory
• 2001: Chris Godsil and Gordon Royle: Algebraic Graph Theory
• 2002: Robin Wilson: Four Colours Suffice
• 2008: J.A. Bondy and U.S.R. Murty: Graph Theory
• 2008: John M. Harris, Jeffry L. Hirst and Michael J. Mossinghoff: Combinatorics and Graph Theory (2nd ed.)
• 2010: Maarten van Steen: Graph Theory and Complex Networks

Combinatorics

• 1826: Andreas v. Ettingshausen: Die kombinatorische Analysis, als Vorbereitungslehre zum Studium der theoretischen höheren Mathematik

• 1867: William Allen Whitworth: Choice and Chance: An Elementary Treatise on Permutations, Combinations, and Probability
  • 1870: William Allen Whitworth: Choice and Chance: An Elementary Treatise on Permutations, Combinations, and Probability (2nd ed.)
  • 1901: William Allen Whitworth: Choice and Chance: An Elementary Treatise on Permutations, Combinations, and Probability (5th ed.)

• 1979: László Lovász: Combinatorial Problems and Exercises
  • 1993: László Lovász: Combinatorial Problems and Exercises (2nd ed.)

• 2007: Alan Tucker: Applied Combinatorics (5th ed.)

• 2008: John M. Harris, Jeffry L. Hirst and Michael J. Mossinghoff: Combinatorics and Graph Theory (2nd ed.)

Design Theory

• 1960: D.J. Finney: An Introduction to the Theory of Experimental Design

Cellular Automata

• 1994: Stephen Wolfram: Cellular Automata and Complexity

Communication Theory and Cryptography

• 1965: Robert B. Ash: Information Theory
• 1988: Dominic Welsh: Codes and Cryptography
• 2013: James S. Kraft and Lawrence C. Washington: An Introduction to Number Theory with Cryptography

Stochastic Calculus

• 2008: Steven E. Shreve: Stochastic Calculus for Finance II: Continuous-Time Models