Pearls of Discrete Mathematics - Brossura

Erickson, Martin

Brossura

ISBN 10: 1439816166 ISBN 13: 9781439816165

Casa editrice: CRC Press, 2009

Riassunto

Methods Used to Solve Discrete Math Problems
Interesting examples highlight the interdisciplinary nature of this area

Pearls of Discrete Mathematics presents methods for solving counting problems and other types of problems that involve discrete structures. Through intriguing examples, problems, theorems, and proofs, the book illustrates the relationship of these structures to algebra, geometry, number theory, and combinatorics.

Each chapter begins with a mathematical teaser to engage readers and includes a particularly surprising, stunning, elegant, or unusual result. The author covers the upward extension of Pascal’s triangle, a recurrence relation for powers of Fibonacci numbers, ways to make change for a million dollars, integer triangles, the period of Alcuin’s sequence, and Rook and Queen paths and the equivalent Nim and Wythoff’s Nim games. He also examines the probability of a perfect bridge hand, random tournaments, a Fibonacci-like sequence of composite numbers, Shannon’s theorems of information theory, higher-dimensional tic-tac-toe, animal achievement and avoidance games, and an algorithm for solving Sudoku puzzles and polycube packing problems. Exercises ranging from easy to challenging are found in each chapter while hints and solutions are provided in an appendix.

With over twenty-five years of teaching experience, the author takes an organic approach that explores concrete problems, introduces theory, and adds generalizations as needed. He delivers an absorbing treatment of the basic principles of discrete mathematics.

Su questo libro

Informazioni sull?autore

Martin Erickson is a professor of mathematics at Truman State University.

Dettagli dell'edizione

• Editore: CRC Press
• Data di pubblicazione: 2009
• Lingua: Inglese
• ISBN 10: 1439816166
• ISBN 13: 9781439816165
• Rilegatura: Copertina flessibile
• Numero edizione: 1
• Numero di pagine: 280
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile