02217cam a22002534a 4500 111017s2012 njua b 001 0 eng 9780470631577 0470631570 SDU QA241 G861 F 2012 Grimaldi, Ralph P. 192998 Fibonacci and Catalan numbers : an introduction / Ralph P. Grimaldi. Hoboken, N.J. : John Wiley & Sons, 2012. 366 p. : ill. HKBU library YT2025 M10 "In this one-of-a-kind book, Ralph Grimaldi uses his extensive experience from the classroom and as a leader of mini-courses to present an accessible, single resource on the topics of Fibonacci Numbers and Catalan Numbers. The book first embarks on a complete treatment of Fibonacci numbers. Starting with a historical background on the topic, the author goes on to present the properties of Fibonacci numbers, a slew of introductory-level examples, and in-depth discussion of related topics including compositions and palindromes; tiling and Fibonacci numbers; solving linear recurrence relations; graph theory; Lucas numbers; and alternate Fibonacci numbers. The second half of the book explores Catalan numbers, and the author builds a complete foundation to the topic using a historical background and introductory examples, along with coverage of partial orders, total orders, topological sorting, graph theory, rooted ordered binary trees, pattern avoidance, and the Narayana numbers. Coverage of both topics are accompanied by interesting, real-world examples from areas such as sports, botany, and computer science. Each section concludes with detailed exercise sets that can also serve as extended examples of the presented material along with selected solutions. An Instructor's Manual featuring complete solutions is available upon written request, and extensive reference sections outline resources for further study of the discussed topics."-- Fibonacci numbers. 192999 Recurrent sequences (Mathematics) 193000 Catalan numbers (Mathematics) 193001 Combinatorial analysis. = C.1 SDU GBE lcc 103921 103921 0 0 lcc 0 QA0241 G861 F2012 0 CGB 284982 SDU SDU GEN3 2025-10-21 2 0 QA241 G861 F 2012 1000377793 2025-10-21 00:00:00 C.1 2025-10-21 GBE