Recurrence Relations Fibonacci and Catalan Numbers - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Recurrence Relations Fibonacci and Catalan Numbers write by Ruby L. Edwards. This book was released on 1992. Recurrence Relations Fibonacci and Catalan Numbers available in PDF, EPUB and Kindle.
Fibonacci and Catalan Numbers
Fibonacci and Catalan Numbers - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fibonacci and Catalan Numbers write by Ralph Grimaldi. This book was released on 2012-02-21. Fibonacci and Catalan Numbers available in PDF, EPUB and Kindle. 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.
Catalan Numbers with Applications
Catalan Numbers with Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Catalan Numbers with Applications write by Thomas Koshy. This book was released on 2009. Catalan Numbers with Applications available in PDF, EPUB and Kindle. This book presents a clear and comprehensive introduction to one of the truly fascinating topics in mathematics: Catalan numbers. They crop up in chess, computer programming and even train tracks. In addition to lucid descriptions of the mathematics and history behind Catalan numbers, Koshy includes short biographies of the prominent mathematicians who have worked with the numbers.
Catalan Numbers: Tree-oriented Derivation of Recurrence Relations
Catalan Numbers: Tree-oriented Derivation of Recurrence Relations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Catalan Numbers: Tree-oriented Derivation of Recurrence Relations write by C. T. P. Burton. This book was released on 1988. Catalan Numbers: Tree-oriented Derivation of Recurrence Relations available in PDF, EPUB and Kindle.
Fibonacci and Lucas Numbers with Applications, Volume 1
Fibonacci and Lucas Numbers with Applications, Volume 1 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fibonacci and Lucas Numbers with Applications, Volume 1 write by Thomas Koshy. This book was released on 2017-12-04. Fibonacci and Lucas Numbers with Applications, Volume 1 available in PDF, EPUB and Kindle. Praise for the First Edition “ ...beautiful and well worth the reading ... with many exercises and a good bibliography, this book will fascinate both students and teachers.” Mathematics Teacher Fibonacci and Lucas Numbers with Applications, Volume I, Second Edition provides a user-friendly and historical approach to the many fascinating properties of Fibonacci and Lucas numbers, which have intrigued amateurs and professionals for centuries. Offering an in-depth study of the topic, this book includes exciting applications that provide many opportunities to explore and experiment. In addition, the book includes a historical survey of the development of Fibonacci and Lucas numbers, with biographical sketches of important figures in the field. Each chapter features a wealth of examples, as well as numeric and theoretical exercises that avoid using extensive and time-consuming proofs of theorems. The Second Edition offers new opportunities to illustrate and expand on various problem-solving skills and techniques. In addition, the book features: • A clear, comprehensive introduction to one of the most fascinating topics in mathematics, including links to graph theory, matrices, geometry, the stock market, and the Golden Ratio • Abundant examples, exercises, and properties throughout, with a wide range of difficulty and sophistication • Numeric puzzles based on Fibonacci numbers, as well as popular geometric paradoxes, and a glossary of symbols and fundamental properties from the theory of numbers • A wide range of applications in many disciplines, including architecture, biology, chemistry, electrical engineering, physics, physiology, and neurophysiology The Second Edition is appropriate for upper-undergraduate and graduate-level courses on the history of mathematics, combinatorics, and number theory. The book is also a valuable resource for undergraduate research courses, independent study projects, and senior/graduate theses, as well as a useful resource for computer scientists, physicists, biologists, and electrical engineers. Thomas Koshy, PhD, is Professor Emeritus of Mathematics at Framingham State University in Massachusetts and author of several books and numerous articles on mathematics. His work has been recognized by the Association of American Publishers, and he has received many awards, including the Distinguished Faculty of the Year. Dr. Koshy received his PhD in Algebraic Coding Theory from Boston University. “Anyone who loves mathematical puzzles, number theory, and Fibonacci numbers will treasure this book. Dr. Koshy has compiled Fibonacci lore from diverse sources into one understandable and intriguing volume, [interweaving] a historical flavor into an array of applications.” Marjorie Bicknell-Johnson
