h33t - Foundations of Combinatorics with Applications~tqw~[h33t]

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Foundations of Combinatorics with Applications
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Type.................: Ebook
Part Size............: 3,797,946 bytes

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Posted by............: ~tqw~

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Release Notes
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The book provides a solid introductory course for mathematics and mathematical
computer science students. Designed for use in a number of courses, this book is
appropriate for rigorous lower division courses, upper division courses in
engineering, science, and mathematics, and beginning graduate courses. The
material has been fully class-tested and includes many helpful examples and
exercises.

Table Of Contents

Preface ix
Part I Counting and Listing 1
Preliminary Reading 2
1 Basic Counting 5
2 Functions 41
3 Decision Trees 65
4 Sieving Methods 93
Part II Graphs 119
5 Basic Concepts in Graph Theory 121
6 A Sampler of Graph Topics 149
Part III Recursion 195
7 Induction and Recursion 197
8 Sorting Theory 227
9 Rooted Plane Trees 247
Part IV Generating Functions 267
10 Ordinary Generating Functions 269
11 Generating Function Topics 307
Appendix A Induction 361
Appendix B Rates of Growth and Analysis of Algorithms 367
Appendix C Basic Probability 381
Appendix D Partial Fractions 387
Solutions to Odd Exercises and Most Appendix Exercises 393
Index 461

Product Details

* ISBN: 0486446034
* ISBN-13: 9780486446035
* Format: Paperback, 468pp
* Publisher: Dover Publications
* Pub. Date: February 2006

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