Invitation to Discrete Mathematics / Edition 1

Invitation to Discrete Mathematics / Edition 1

by Jiri Matousek, Jaroslav Nesetril
     
 

ISBN-10: 0198502079

ISBN-13: 9780198502074

Pub. Date: 01/28/1999

Publisher: Oxford University Press, USA

This second edition of Invitation to Discrete Mathematics is a clear and self-contained introduction to discrete mathematics. Aimed mainly at undergraduate and early graduate students of mathematics and computer science, it is written with the goal of stimulating interest in mathematics and an active, problem-solving approach to the presented material. The reader is…  See more details below

Overview

This second edition of Invitation to Discrete Mathematics is a clear and self-contained introduction to discrete mathematics. Aimed mainly at undergraduate and early graduate students of mathematics and computer science, it is written with the goal of stimulating interest in mathematics and an active, problem-solving approach to the presented material. The reader is led to an understanding of the basic principles and methods of actually doing mathematics (and having fun at that). By focussing on a more selective range of topics than many discrete mathematics textbooks, allowing greater depth of treatment using a number of different approaches, the book reflects the conviction of the authors, active and internationally renowned mathematicians, that the most important gain from studying mathematics is the cultivation of clear and logical thinking and habits useful for attacking new problems. More than 400 enclosed exercises with a wide range of difficulty, many of them accompanied by hints for solution, support this approach to teaching. The readers will appreciate the lively and informal style of the text accompanied by more than 200 drawings and diagrams. Specialists in various parts of science with a basic mathematical education wishing to apply discrete mathematics in their field can use the book as a useful source, and even experts in combinatorics may occasionally learn from pointers to research literature or from presentations of recent results. Invitation to Discrete Mathematics should make delightful reading both for beginners and for mathematical professionals.

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Product Details

ISBN-13:
9780198502074
Publisher:
Oxford University Press, USA
Publication date:
01/28/1999
Edition description:
Older Edition
Pages:
426
Product dimensions:
9.10(w) x 6.10(h) x 1.10(d)

Table of Contents

1 Introduction and basic concepts 1

2 Orderings 43

3 Combinatorial counting 59

4 Graphs: an introduction 109

5 Trees 153

6 Drawing graphs in the plane 182

7 Double-counting 217

8 The number of spanning trees 239

9 Finite projective planes 261

10 Probability and probabilistic proofs 284

11 Order from disorder: Ramsey's theorem 317

12 Generating functions 325

13 Applications of linear algebra 364

App Prerequisites from algebra 395

Bibliography 402

Hints to selected exercises 407

Index 433

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