Электронная книга: Ralph Grimaldi «Fibonacci and Catalan Numbers. An Introduction»

Fibonacci and Catalan Numbers. An Introduction

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.

Издательство: "John Wiley&Sons Limited"

ISBN: 9781118159774

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Ralph Grimaldi

Ralph Peter Grimaldi (born January 1943) is an American mathematician specializing in discrete mathematics who is a full professor at Rose-Hulman Institute of Technology. He is known for his textbook "Discrete and Combinatorial Mathematics: An Applied Introduction" [http://www.pearsonhighered.com/educator/academic/product/0,,0201726343,00%2Ben-USS_01DBC.html] , first published in 1985 and now in its fifth edition, and his numerous research papers.

He was born and raised in New York City and graduated from what is now the State University of New York at Albany in 1964 (B.S.) and 1965 (M.S.), then earned his Ph.D. in Mathematical Sciences in 1972 at New Mexico State University under Ray Mines. He previously taught at the State University of New York at Oswego and has held sabbatical appointments at Clemson University and New Mexico State University, as well as in industry.

External links

* [http://www.pearsonhighered.com/educator/academic/product/0,,0201726343,00%2Ben-USS_01DBC.html Biography]
* [http://www.genealogy.ams.org/id.php?id=9507 Entry at the MGP]

Источник: Ralph Grimaldi

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Ralph GrimaldiFibonacci and Catalan Numbers. An IntroductionDiscover 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… — John Wiley&Sons Limited, электронная книга Подробнее...
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