Kacage Books by Russell Merris. In regards to the textbook, it serves as an effective introduction to the subject on Combinatorics and pairs nicely with a junior-level introductory class. Soroush marked it as to-read Feb 04, Learn more about Amazon Prime. Page 1 of 1 Start over Page 1 of 1.
|Genre:||Health and Food|
|Published (Last):||28 August 2017|
|PDF File Size:||12.38 Mb|
|ePub File Size:||12.57 Mb|
|Price:||Free* [*Free Regsitration Required]|
Back cover copy A mathematical gem-freshly cleaned and polished This book is intended to be used as the text for a first course in combinatorics. Features retained from the first edition: Lively and engaging writing style Timely and appropriate examples Numerous well-chosen exercises Flexible modular format Optional sections and appendices Highlights of Second Edition enhancements: Smoothed and polished exposition, with a sharpened focus on key ideas Expanded discussion of linear codes New optional section on algorithms Greatly expanded hints and answers section Many new exercises and examples show more Table of contents Preface.
Chapter 1: The Mathematics of Choice. The Fundamental Counting Principle. Elementary Probability. Error-Correcting Codes. Combinatorial Identities. Four Ways to Choose. The Binomial and Multinomial Theorems. Elementary Symmetric Functions. Combinatorial Algorithms.
Chapter 2: The Combinatorics of Finite Functions. Stirling Numbers of the Second Kind. Bells, Balls, and Urns. The Principle of Inclusion and Exclusion. Disjoint Cycles. Stirling Numbers of the First Kind.
Function Composition. Permutation Groups. Symmetry Groups. Color Patterns. The Cycle Index Polynomial. Chapter 4: Generating Functions. Difference Sequences. Ordinary Generating Functions.
Applications of Generating Functions. Exponential Generating Functions. Recursive Techniques. Chapter 5: Enumeration in Graphs. The Pigeonhole Principle. Edge Colorings and Ramsey Theory. Chromatic Polynomials. Planar Graphs. Matching Polynomials. Oriented Graphs.
Graphic Partitions. Chapter 6: Codes and Designs. Linear Codes. Decoding Algorithms. Latin Squares. Balanced Incomplete Block Designs. Appendix A1: Symmetric Polynomials. Appendix A2: Sorting Algorithms. Appendix A3: Matrix Theory. Index of Notation. Note: Asterisks indicate optional sections that can be omitted without loss of continuity.