{"product_id":"pearls-of-discrete-mathematics-martin-erickson-9781439816165","title":"Pearls of Discrete Mathematics","description":"\u003cp\u003e\u003cem\u003eMethods Used to Solve Discrete Math Problems\u003cbr\u003eInteresting examples highlight the interdisciplinary nature of this area\u003c\/em\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003ePearls of Discrete Mathematics\u003c\/strong\u003e 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.\u003c\/p\u003e\u003cp\u003eEach 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.\u003c\/p\u003e\u003cp\u003eWith 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.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Martin Erickson\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1439816166\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781439816165\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e CRC Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 09\/01\/2009\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 280\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.88lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 8.90h x 6.00w x 0.70d\u003cbr\u003e\u003cbr\u003e\u003cb\u003eReview Citation(s): \u003c\/b\u003e\u003cbr\u003e\u003ci\u003eChoice\u003c\/i\u003e 04\/01\/2010\u003cbr\u003e\u003ci\u003eScitech Book News\u003c\/i\u003e 12\/01\/2009 pg. 35","brand":"Martin Erickson","offers":[{"title":"Paperback","offer_id":48088266342655,"sku":"9781439816165","price":84.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_b631a6c0-9227-43b1-ae82-f267643bbb38.jpg?v=1769103958","url":"https:\/\/www.whiterainbookhouse.com\/products\/pearls-of-discrete-mathematics-martin-erickson-9781439816165","provider":"WR Book House","version":"1.0","type":"link"}