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Full Description
A mathematical gem-freshly cleaned and polished This book is intended to be used as the text for a first course in combinatorics. the text has been shaped by two goals, namely, to make complex mathematics accessible to students with a wide range of abilities, interests, and motivations; and to create a pedagogical tool, useful to the broad spectrum of instructors who bring a variety of perspectives and expectations to such a course. 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
Table of Contents
Preface.
Chapter 1: The Mathematics of Choice.
1.1. The Fundamental Counting Principle.
1.2. Pascal’s Triangle.
*1.3. Elementary Probability.
*1.4. Error-Correcting Codes.
1.5. Combinatorial Identities.
1.6. Four Ways to Choose.
1.7. The Bin