Name: Pearls of Discrete Mathematics (en Inglés)
SKU: 56090523
Price: 329.90 USD
Availability: InStock
Author: Erickson, Martin
ISBN: 9781138435865

portada Pearls of Discrete Mathematics (en Inglés)

Pearls of Discrete Mathematics (en Inglés)

Formato

Libro Físico

Autor

Martin Erickson

Editorial

CRC Press

Idioma

Inglés

N° páginas

280

Encuadernación

Tapa Dura

ISBN13

9781138435865

N° edición

Categorías

Combinatoria y teoría de grafos
Sistemas operativos
Seguridad informática

Pearls of Discrete Mathematics (en Inglés)

Martin Erickson (Autor) · CRC Press · Tapa Dura

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Reseña del libro "Pearls of Discrete Mathematics (en Inglés)"

Methods Used to Solve Discrete Math ProblemsInteresting 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.