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Applications of Fibonacci Numbers / Volume 9, Howard Fredric T.



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Цена: 18563р.
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Автор: Howard Fredric T.
Название:  Applications of Fibonacci Numbers / Volume 9
Перевод названия: О Фибоначчи
ISBN: 9781402019388
Издательство: Springer
Классификация:
ISBN-10: 1402019386
Обложка/Формат: Hardcover
Страницы: 348
Вес: 0.688 кг.
Дата издания: 2004
Язык: English
Размер: 25.20 x 16.21 x 2.26
Ссылка на Издательство: Link
Поставляется из: Германии
Дополнительное описание: Формат: 240x160
Круг читателей: Graduate students and research mathematicians, whose work involves number theory, combinatorics, algebraic number theory, finite geometry and special functions
Ключевые слова:
Язык: eng





Golden ratio and fibonacci numbers

Автор: Dunlap, R.a.
Название: Golden ratio and fibonacci numbers
ISBN: 9810232640 ISBN-13(EAN): 9789810232641
Издательство: World Scientific Publishing
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Цена: 8677 р.
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Описание: In this text, the basic mathematical properties of the golden ratio and its occurrence in the dimensions of two- and three-dimensional figures with fivefold symmetry are discussed. Fibonacci series and generalized Finobacci series and their relationship to the golden ratio are also presented.

Fibonacci and Lucas Numbers with Applications, Vol ume One, Second Edition

Автор: Koshy
Название: Fibonacci and Lucas Numbers with Applications, Vol ume One, Second Edition
ISBN: 1118742125 ISBN-13(EAN): 9781118742129
Издательство: Wiley
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Цена: 17233 р.
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Описание: 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

Fibonacci Numbers and Their Applications

Автор: Philippou A.N., Bergum G.E., Horadam Alwyn F.
Название: Fibonacci Numbers and Their Applications
ISBN: 1402003277 ISBN-13(EAN): 9781402003271
Издательство: Springer
Цена: 16334 р.
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Описание: It isn't that they can't see the solution. It is Approach your problems from the right end and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. O. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Oulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non- trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.


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