Fibonacci and Catalan Numbers: An Introduction PDF (Adobe DRM) download by Ralph Grimaldi

Fibonacci and Catalan Numbers: An Introduction

Wiley
Publication date: December 2011
ISBN: 9781118159774
Digital Book format: PDF (Adobe DRM)

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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.

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Fibonacci and Catalan Numbers: An Introduction PDF (Adobe DRM) download by Ralph Grimaldi
Wiley, December 2011
ISBN: 9781118159774
EAN:  9781118159774
PDF (Adobe DRM)
List Price: $89.99 eBook price: $86.99
Fibonacci and Catalan Numbers: An Introduction ePub (Adobe DRM) download by Ralph Grimaldi
Wiley, February 2012
ISBN: 9781118159767
EAN:  9781118159767
ePub (Adobe DRM)
List Price: $89.99 eBook price: $86.99
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