Fibonacci and Catalan Numbers PDF ePub eBook

Books Info:

Fibonacci and Catalan Numbers free pdf 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.

About Ralph P. Grimaldi

RALPH P. GRIMALDI, PhD, 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.

Details Book

Author : Ralph P. Grimaldi
Publisher : John Wiley
Data Published : 26 March 2012
ISBN : 1118159748
EAN : 9781118159743
Format Book : PDF, Epub, DOCx, TXT
Number of Pages : 448 pages
Age + : 15 years
Language : English
Rating :

Reviews Fibonacci and Catalan Numbers



17 Comments Add a comment




Related eBooks Download


  • Fibonacci and Lucas Numbers with Applications free pdfFibonacci and Lucas Numbers with Applications

    This "Second Edition" continues to be the largest comprehensive study in the field and reflects a user-friendly and historical approach to the myriad of properties of both Fibonacci and Lucas numbers..


  • New Visual Perspectives on Fibonacci Numbers free pdfNew Visual Perspectives on Fibonacci Numbers

    A study of Fibonacci sequences and the well-known Fibonacci numbers. It should be of interest to research mathematicians wishing to advance the ideas themselves. and to recreational mathematicians. who should enjoy the various visual approaches and the problems inherent in them..


  • The Fabulous Fibonacci Numbers free pdfThe Fabulous Fibonacci Numbers

    The most ubiquitous. and perhaps the most intriguing. number pattern in mathematics is the Fibonacci sequence. In this simple pattern beginning with two ones. each succeeding number is the sum of the two numbers immediately preceding it (1..


  • Wild Fibonacci free pdfWild Fibonacci

    1. 1. 2. 3. 5. 8. 13. 21. 34. . . Look carefully. Do you see the pattern. Each number above is the sum of the two numbers before it. Though most of us are unfamiliar with it..


  • Number Theory and Its History free pdfNumber Theory and Its History

    Unusually clear. accessible introduction covers counting. properties of numbers. prime numbers. Aliquot parts. Diophantine problems. congruences. much more. Bibliography..


  • Fibonacci and Catalan Numbers free pdfFibonacci and Catalan Numbers

    Read Books Free. 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 Int