Discrete Mathematics

Discrete Mathematics

Paperback Mathematics

By (author) Norman L. Biggs

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  • Publisher: Clarendon Press
  • Format: Paperback | 448 pages
  • Dimensions: 188mm x 244mm x 23mm | 431g
  • Publication date: 20 February 2003
  • Publication City/Country: Oxford
  • ISBN 10: 0198507178
  • ISBN 13: 9780198507178
  • Edition: 2, Revised
  • Edition statement: 2nd Revised edition
  • Illustrations note: numerous figures
  • Sales rank: 310,765

Product description

Biggs' Discrete Mathematics has been a best-selling textbook since the first and revised editions were published in 1986 and 1990, respectively. This second edition has been developed in response to undergraduate course changes and changes in students' needs. New to this edition are chapters on statements and proof, logical framework, and natural numbers and the integers, in addition to updated chapters from the previous edition. The new chapters are presented at a level suitable for mathematics and computer science students seeking a first approach to this broad and highly relevant topic. Each chapter contains newly developed tailored exercises, and miscellaneous exercises are presented throughout, providing the student with over 1000 individual tailored exercises. This edition is accompanied by a website www.oup.com/mathematics/discretemath containing hints and solutions to all exercises presented in the text, providing an invaluable resource for students and lecturers alike. The book is carefully structured, coherent and comprehensive, and is the ideal text for students seeking a clear introduction to discrete mathematics, graph theory, combinatorics, number theory, coding theory and abstract algebra.

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Review quote

This is a new edition of a successful textbook ... this revision is particularly welcome ... The text is written in a fluent but rigorous style and should appeal to sixthformers and undergraduates who are alienated by more formal presentations. There are plenty of approachable exercises, ranging from easy riders to establish technique to more challenging problems which introduce new ideas, and a bonus is that all the answers are available on a companion web-site. I can thoroughly recommend this text. The Mathematical Gazette A well known definition says that a textbook is a book such that everybody thinks he can write a better one. Biggs' Discrete Mathematics is an exception - not only for its wide range of topics and its clear organization but notably for its excellent style of explanation. EMS ... the ideal choice for introductory courses to discrete mathematicians. Zentralblatt MATH

Table of contents

THE LANGUAGE OF MATHEMATICS ; 1. Statements and proofs ; 2. Set notation ; 3. The logical framework ; 4. Natural numbers ; 5. Functions ; 6. How to count ; 7. Integers ; 8. Divisibility and prime numbers ; 9. Fractions and real numbers ; TECHNIQUES ; 10. Principles of counting ; 11. Subsets and designs ; 12. Partition, classification and distribution ; 13. Modular arithmetic ; ALGORITHMS AND GRAPHS ; 14. Algorithms and their efficiency ; 15. Graphs ; 16. Trees, sorting and searching ; 17. Bipartite graphs and matching problems ; 18. Digraphs, networks and flows ; 19. Recursive techniques ; ALGEBRAIC METHODS ; 20. Groups ; 21. Groups of permutations ; 22. Rings, fields and polynomials ; 23. Finite fields and some applications ; 24. Error-correcting codes ; 25. Generating functions ; 26. Partitions of a positive integer ; 27. Symmetry and counting