A Path to Combinatorics for Undergraduates

Counting Strategies
Buch | Softcover
228 Seiten
2003 | 2004 ed.
Birkhauser Boston Inc (Verlag)
978-0-8176-4288-4 (ISBN)

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A Path to Combinatorics for Undergraduates - Titu Andreescu, Zuming Feng
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This unique approach to combinatorics is centered around unconventional, essay-type combinatorial examples, followed by a number of carefully selected, challenging problems and extensive discussions of their solutions. Topics encompass permutations and combinations, binomial coefficients and their applications, bijections, inclusions and exclusions, and generating functions.  Each chapter features fully-worked problems, including many from Olympiads and other competitions, as well as a number of problems original to the authors; at the end of each chapter are further exercises to reinforce understanding, encourage creativity, and build a repertory of problem-solving techniques.  The authors' previous text, "102 Combinatorial Problems," makes a fine companion volume to the present work, which is ideal for Olympiad participants and coaches, advanced high school students, undergraduates, and college instructors.  The book's unusual problems and examples will interest seasoned mathematicians as well.  "A Path to Combinatorics for Undergraduates" is a lively introduction not only to combinatorics, but to mathematical ingenuity, rigor, and the joy of solving puzzles.

Preface * Introduction * Acknowledgments * Abbreviations and Notations * Addition on Multiplication? * Combinations * Properties of Binomial Coefficients * Bijections * Inclusions and Exclusions * Recursions * Calculating in Two Ways --- Fubini's Principle * Generating Functions * Review Exercises * Glossary * Further Reading

Erscheint lt. Verlag 11.11.2003
Zusatzinfo 39 Illustrations, black and white; XIX, 228 p. 39 illus.
Verlagsort Secaucus
Sprache englisch
Maße 152 x 229 mm
Gewicht 840 g
Themenwelt Mathematik / Informatik Mathematik Graphentheorie
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
ISBN-10 0-8176-4288-9 / 0817642889
ISBN-13 978-0-8176-4288-4 / 9780817642884
Zustand Neuware
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