discrete mathematics 2nd edition, norman biggs [pdf]
Discrete Mathematics by Norman L. Biggs
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About this book :-
Norman L. Biggs.
Biggs's 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.
Book Detail :-
Title: Discrete Mathematics
Author(s): Norman L. Biggs
Series: Springer undergraduate mathematics series
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About Author :-
The author Norman L. Biggs was a lecturer at University of Southampton, lecturer then reader at Royal Holloway, University of London, and Professor of Mathematics at the London School of Economics. He has been on the editorial board of a number of journals, including the Journal of Algebraic Combinatorics. He has been a member of the Council of the London Mathematical Society.
He has written 12 books and over 100 papers on mathematical topics, many of them in algebraic combinatorics and its applications. He became Emeritus Professor in 2006 and continue to teach History of Mathematics in Finance and Economics for undergraduates. He is also Vice-President of the British Society for the History of Mathematics.
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Book Contents :-
Norman L. Biggs
cover the following topics.
Part-1 The Language of Mathematics
1. Statements and proofs
2. Set notation
3. The logical framework
4. Natural numbers
6. How to count
8. Divisibility and prime numbers
9. Fractions and real numbers
10. Principles of counting
11. Subsets and designs
12. Partition, classification and distribution
13. Modular arithmetic
Part-3 Algorithms and Graphs
14. Algorithms and their efficiency
16. Trees, sorting and searching
17. Bipartite graphs and matching problems
18. Digraphs, networks and flows
19. Recursive techniques
Part-4 Algebraic Methods
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
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