Discrete mathematics : elementary and beyond
著者
書誌事項
Discrete mathematics : elementary and beyond
（Undergraduate texts in mathematics）
Springer, c2003
- : hard
- : pbk
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注記
Includes index
Some impressions lack index (ix, 288 p.)
内容説明・目次
内容説明
Aimed at undergraduate mathematics and computer science students, this book is an excellent introduction to a lot of problems of discrete mathematics. It discusses a number of selected results and methods, mostly from areas of combinatorics and graph theory, and it uses proofs and problem solving to help students understand the solutions to problems. Numerous examples, figures, and exercises are spread throughout the book.
目次
* Preface * Let us count! * Combinatorial tools * Binomial Coefficients and Pascal's Triangle * Fibonacci numbers * Combinatorial probability * Integers, divisors, and primes * Graphs * Trees * Finding the optimum * Matchings in graphs * Combinatorics in geometry * Euler's formula * Coloring maps and graphs * Finite geometries, codes, Latin squares, and other pretty creatures * A glimpse of complexity and cryptography * Answers to exercises
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