000			02885nam a2200373 a 4500
001			ebr10630585
003			CaPaEBR
006			m u
007			cr cn|||||||||
008			111017s2012 njua sb 001 0 eng d
010			_z 2011043338
020			_z0470631570
020			_z9780470631577
020			_z9781118159774 (e-book)
040			_aCaPaEBR _cCaPaEBR
035			_a(OCoLC)773301897
050	1	4	_aQA241 _b.G725 2012eb
082	0	4	_a512.7/2 _223
100	1		_aGrimaldi, Ralph P.
245	1	0	_aFibonacci and Catalan numbers _h[electronic resource] : _ban introduction / _cRalph P. Grimaldi.
260			_aHoboken, N.J. : _bJohn Wiley & Sons, _cc2012.
300			_axiv, 366 p. : _bill.
504			_aIncludes bibliographical references and index.
505	0		_apt. 1. The Fibonacci numbers -- pt. 2. The Catalan numbers.
520			_a"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."-- _cProvided by publisher.
533			_aElectronic reproduction. _bPalo Alto, Calif. : _cebrary, _d2011. _nAvailable via World Wide Web. _nAccess may be limited to ebrary affiliated libraries.
650		0	_aFibonacci numbers.
650		0	_aRecurrent sequences (Mathematics)
650		0	_aCatalan numbers (Mathematics)
650		0	_aCombinatorial analysis.
655		7	_aElectronic books. _2local
710	2		_aebrary, Inc.
856	4	0	_uhttp://site.ebrary.com/lib/rucke/Doc?id=10630585 _zAn electronic book accessible through the World Wide Web; click to view
999			_c52817 _d52817