{"product_id":"fibonacci-and-catalan-numbers-hardcover","title":"Fibonacci and Catalan Numbers - Hardcover","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eRalph Grimaldi\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003cb\u003eDiscover the properties and real-world applications of the Fibonacci and the Catalan numbers\u003c\/b\u003e\u003cbr\u003e \u003cbr\u003e \u003c\/p\u003e\u003cp\u003eWith clear explanations and easy-to-follow examples, Fibonacci and Catalan Numbers: An Introduction offers a fascinating overview of these topics that is accessible to a broad range of readers.\u003c\/p\u003e \u003cp\u003eBeginning with a historical development of each topic, the book guides readers through the essential properties of the Fibonacci numbers, offering many introductory-level examples. The author explains the relationship of the Fibonacci numbers to compositions and palindromes, tilings, graph theory, and the Lucas numbers.\u003c\/p\u003e \u003cp\u003eThe book proceeds to explore the Catalan numbers, with the author drawing from their history to provide a solid foundation of the underlying properties. The relationship of the Catalan numbers to various concepts is then presented in examples dealing with partial orders, total orders, topological sorting, graph theory, rooted-ordered binary trees, pattern avoidance, and the Narayana numbers.\u003c\/p\u003e \u003cp\u003eThe book features various aids and insights that allow readers to develop a complete understanding of the presented topics, including: \u003c\/p\u003e \u003cul\u003e \u003cli\u003e \u003cp\u003eReal-world examples that demonstrate the application of the Fibonacci and the Catalan numbers to such fields as sports, botany, chemistry, physics, and computer science\u003c\/p\u003e \u003c\/li\u003e \u003cli\u003e \u003cp\u003eMore than 300 exercises that enable readers to explore many of the presented examples in greater depth\u003c\/p\u003e \u003c\/li\u003e \u003cli\u003e \u003cp\u003eIllustrations that clarify and simplify the concepts\u003c\/p\u003e \u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eFibonacci and Catalan Numbers is an excellent book for courses on discrete mathematics, combinatorics, and number theory, especially at the undergraduate level. Undergraduates will find the book to be an excellent source for independent study, as well as a source of topics for research. Further, a great deal of the material can also be used for enrichment in high school courses.\u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eDiscover the properties and real-world applications of the Fibonacci and the Catalan numbers\u003c\/b\u003e \u003c\/p\u003e\u003cp\u003eWith clear explanations and easy-to-follow examples, \u003ci\u003eFibonacci and Catalan Numbers: An Introduction\u003c\/i\u003e offers a fascinating overview of these topics that is accessible to a broad range of readers. \u003c\/p\u003e\u003cp\u003eBeginning with a historical development of each topic, the book guides readers through the essential properties of the Fibonacci numbers, offering many introductory- level examples. The author explains the relationship of the Fibonacci numbers to compositions and palindromes, tilings, graph theory, and the Lucas numbers. \u003c\/p\u003e\u003cp\u003eThe book proceeds to explore the Catalan numbers, with the author drawing from their history to provide a solid foundation of the underlying properties. The relationship of the Catalan numbers to various concepts is then presented in examples dealing with partial orders, total orders, topological sorting, graph theory, rooted-ordered binary trees, pattern avoidance, and the Narayana numbers. \u003c\/p\u003e\u003cp\u003eThe book features various aids and insights that allow readers to develop a complete understanding of the presented topics, including: \u003c\/p\u003e\u003cul\u003e \u003cli\u003e\n\u003cb\u003eReal-world examples\u003c\/b\u003e that demonstrate the application of the Fibonacci and the Catalan numbers to such fields as sports, botany, chemistry, physics, and computer science\u003c\/li\u003e \u003cli\u003e\n\u003cb\u003eMore than 300 exercises\u003c\/b\u003e that enable readers to explore many of the presented examples in greater depth\u003c\/li\u003e \u003cli\u003e\n\u003cb\u003eIllustrations\u003c\/b\u003e that clarify and simplify the concepts\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003ci\u003eFibonacci and Catalan Numbers\u003c\/i\u003e is an excellent book for courses on discrete mathematics, combinatorics, and number theory, especially at the undergraduate level. Undergraduates will find the book to be an excellent source for independent study, as well as a source of topics for research. Further, a great deal of the material can also be used for enrichment in high school courses.\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eRALPH P. GRIMALDI, PHD, \u003c\/b\u003e is Professor of Mathematics at Rose-Hulman Institute of Technology. With more than forty years of experience in academia, Dr. Grimaldi has published numerous articles in discrete mathematics, combinatorics, and graph theory. Over the past twenty years, he has developed and led mini-courses and workshops examining the Fibonacci and the Catalan numbers.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 380\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1 x 9.3 x 6.2 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e March 13, 2012\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":45837887340741,"sku":"9780470631577","price":187.13,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0757\/6718\/5605\/files\/ZHBqZ21wbTk3TjY3V2NPREpoUEJ1dz09.webp?v=1771289276","url":"https:\/\/selloorium.com\/products\/fibonacci-and-catalan-numbers-hardcover","provider":"Selloorium","version":"1.0","type":"link"}