Fibonacci and Catalan Numbers
eBook - ePub

Fibonacci and Catalan Numbers

An Introduction

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eBook - ePub

Fibonacci and Catalan Numbers

An Introduction

Book details
Table of contents
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About This Book

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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Yes, you can access Fibonacci and Catalan Numbers by Ralph Grimaldi in PDF and/or ePUB format, as well as other popular books in Mathematics & Counting & Numeration. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Wiley
Year
2012
ISBN
9781118159767
Edition
1
Topic
Mathematics
Subtopic
Counting & Numeration
Index
Mathematics

Table of contents

  1. Cover
  2. Title Page
  3. Copyright
  4. Dedication
  5. Preface
  6. Part One: The Fibonacci Numbers
  7. Part Two: The Catalan Numbers
  8. Solutions for the Odd-Numbered Exercises
  9. Index