Discrete Mathematics: Elementary and Beyond / Edition 1

Discrete Mathematics: Elementary and Beyond / Edition 1

by Laszlo Lovasz, J. Pelikan
     
 

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ISBN-10: 0387955844

ISBN-13: 9780387955841

Pub. Date: 01/27/2003

Publisher: Springer New York

Discrete mathematics is quickly becoming one of the most important areas of mathematical research, with applications to cryptography, linear programming, coding theory and the theory of computing. This book is aimed at undergraduate mathematics and computer science students interested in developing a feeling for what mathematics is all about, where mathematics can

Overview

Discrete mathematics is quickly becoming one of the most important areas of mathematical research, with applications to cryptography, linear programming, coding theory and the theory of computing. This book is aimed at undergraduate mathematics and computer science students interested in developing a feeling for what mathematics is all about, where mathematics can be helpful, and what kinds of questions mathematicians work on. The authors discuss a number of selected results and methods of discrete mathematics, mostly from the areas of combinatorics and graph theory, with a little number theory, probability, and combinatorial geometry. Wherever possible, the authors use proofs and problem solving to help students understand the solutions to problems. In addition, there are numerous examples, figures and exercises spread throughout the book.

László Lovász is a Senior Researcher in the Theory Group at Microsoft Corporation. He is a recipient of the 1999 Wolf Prize and the Gödel Prize for the top paper in Computer Science. József Pelikán is Professor of Mathematics in the Department of Algebra and Number Theory at Eötvös Loránd University, Hungary. In 2002, he was elected Chairman of the Advisory Board of the International Mathematical Olympiad. Katalin Vesztergombi is Senior Lecturer in the Department of Mathematics at the University of Washington.

Product Details

ISBN-13:
9780387955841
Publisher:
Springer New York
Publication date:
01/27/2003
Series:
Undergraduate Texts in Mathematics Series
Edition description:
2003
Pages:
290
Product dimensions:
6.14(w) x 9.21(h) x 0.81(d)

Table of Contents

* 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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