Fibonacci and Catalan Numbers: An Introduction - Erstausgabe

EAN (ISBN-13): 9780470631577
ISBN (ISBN-10): 0470631570
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2012
Herausgeber: Wiley

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Detailseite zuletzt geändert am 2024-02-05T13:17:07+01:00 (Berlin)
ISBN/EAN: 0470631570

ISBN - alternative Schreibweisen:
0-470-63157-0, 978-0-470-63157-7
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: grimaldi, fields, lucas, fibonacci
Titel des Buches: numbers, fibonacci, catalan, catala

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Daten vom Verlag:

Autor/in: Ralph Grimaldi
Titel: Fibonacci and Catalan Numbers - An Introduction
Verlag: John Wiley & Sons
380 Seiten
Erscheinungsjahr: 2012-03-23
Gewicht: 0,662 kg
Sprache: Englisch
122,00 € (DE)
No longer receiving updates
158mm x 238mm x 26mm

BB; Hardcover, Softcover / Mathematik; Kombinatorik und Graphentheorie; Combinatorics; Discrete Mathematics; Diskrete Mathematik; Kombinatorik; Mathematics; Mathematik; Number Theory; Zahlentheorie; Kombinatorik; Diskrete Mathematik; Zahlentheorie

Discover the properties and real-world applications of the Fibonacci and the Catalan numbers With 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. Beginning 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. The 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. The book features various aids and insights that allow readers to develop a complete understanding of the presented topics, including: * Real-world examples that demonstrate the application of the Fibonacci and the Catalan numbers to such fields as sports, botany, chemistry, physics, and computer science * More than 300 exercises that enable readers to explore many of the presented examples in greater depth * Illustrations that clarify and simplify the concepts Fibonacci 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.