Combinatorics
A Problem Oriented Approach
Seiten
1998
Mathematical Association of America (Verlag)
978-0-88385-710-6 (ISBN)
Mathematical Association of America (Verlag)
978-0-88385-710-6 (ISBN)
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Combines features of a traditional text with those of a problem book. Material is presented through a series of problems with connecting text; this is supplemented by 250 additional problems suitable for homework assignment. The problems are structured in order to introduce concepts in a logical order and in a thought-provoking way.
The format of this book is unique in that it combines features of a traditional text with those of a problem book. The material is presented through a series of problems, about 250 in all, with connecting text; this is supplemented by 250 additional problems suitable for homework assignment. The problems are structured in order to introduce concepts in a logical order and in a thought-provoking way. The first four sections of the book deal with basic combinatorial entities; the last four cover special counting methods. Many applications to probability are included along the way. Students from a wide range of backgrounds-mathematics, computer science, or engineering-will appreciate this appealing introduction.
The format of this book is unique in that it combines features of a traditional text with those of a problem book. The material is presented through a series of problems, about 250 in all, with connecting text; this is supplemented by 250 additional problems suitable for homework assignment. The problems are structured in order to introduce concepts in a logical order and in a thought-provoking way. The first four sections of the book deal with basic combinatorial entities; the last four cover special counting methods. Many applications to probability are included along the way. Students from a wide range of backgrounds-mathematics, computer science, or engineering-will appreciate this appealing introduction.
Part I. Basics
Section A: Strings
Section B: Combinations
Section C: Distributions
Section D: Partitions
Part II. Special Counting Methods
Section E: Inclusion and Exclusion
Section F: Recurrence Relations
Section G: Generating Functions
Section H: The Pólya-Redfield Method
List of Standard Problems
Dependence of Problems
Answers to Selected Problems
Index
| Erscheint lt. Verlag | 14.1.1999 |
|---|---|
| Reihe/Serie | Classroom Resource Materials |
| Sprache | englisch |
| Maße | 151 x 228 mm |
| Gewicht | 246 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Graphentheorie |
| ISBN-10 | 0-88385-710-3 / 0883857103 |
| ISBN-13 | 978-0-88385-710-6 / 9780883857106 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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