Fibonacci and Catalan Numbers: An Introduction
Ralph Grimaldi
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 ... Read more
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.
Show LessProduct Details
About Ralph Grimaldi
Reviews for Fibonacci and Catalan Numbers: An Introduction