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Golden ratio and fibonacci numbers, Dunlap, R.a.



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Цена: 6574р.
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Автор: Dunlap, R.a.
Название:  Golden ratio and fibonacci numbers
ISBN: 9789810232641
Издательство: World Scientific Publishing
Классификация:
ISBN-10: 9810232640
Обложка/Формат: Hardback
Страницы: 172
Вес: 0.42 кг.
Дата издания: 01.02.1998
Язык: English
Иллюстрации: Illustrations
Размер: 224 x 163 x 17
Читательская аудитория: Postgraduate, research & scholarly
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Поставляется из: Англии



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: 14293 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

Torsors, ?tale Homotopy and Applications to Rational Points

Автор: Skorobogatov
Название: Torsors, ?tale Homotopy and Applications to Rational Points
ISBN: 1107616123 ISBN-13(EAN): 9781107616127
Издательство: Cambridge Academ
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Цена: 7531 р.
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Описание: Torsors, also known as principal bundles or principal homogeneous spaces, are ubiquitous in mathematics. The purpose of this book is to present expository lecture notes and cutting-edge research papers on the theory and applications of torsors and etale homotopy, all written from different perspectives by leading experts. Part one of the book contains lecture notes on recent uses of torsors in geometric invariant theory and representation theory, plus an introduction to the etale homotopy theory of Artin and Mazur. Part two of the book features a milestone paper on the etale homotopy approach to the arithmetic of rational points. Furthermore, the reader will find a collection of research articles on algebraic groups and homogeneous spaces, rational and K3 surfaces, geometric invariant theory, rational points, descent and the Brauer–Manin obstruction. Together, these give a state-of-the-art view of a broad area at the crossroads of number theory and algebraic geometry.

Torsors and Rational Points

Автор: Alexei Skorobogatov
Название: Torsors and Rational Points
ISBN: 0521802377 ISBN-13(EAN): 9780521802376
Издательство: Cambridge Academ
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Цена: 13694 р.
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Описание: The classical descent on curves of genus one can be interpreted as providing conditions on the set of rational points of an algebraic variety X defined over a number field, viewed as a subset of its adelic points. This is the natural set-up of the Hasse principle and various approximation properties of rational points. The most famous among such conditions is the Manin obstruction exploiting the Brauer-Grothendieck group of X. It emerged recently that a non-abelian generalization of descent sometimes provides stronger conditions on rational points. An all-encompassing ‘obstruction’ is related to the X-torsors (families of principal homogenous spaces with base X) under algebraic groups. This book represents the first detailed exposition of 1) the general theory of torsors with key examples, 2) the relation of descent to the Manin obstruction, and 3) applications of descent: to conic bundles, to bielliptic surfaces, and to homogenous spaces of algebraic groups.

Rational Homotopy Theory

Автор: Felix Yves, Halperin Stephen, Thomas J.-C.
Название: Rational Homotopy Theory
ISBN: 0387950680 ISBN-13(EAN): 9780387950686
Издательство: Springer
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Цена: 10394 р.
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Описание: This is a long awaited book on rational homotopy theory which contains all the main theorems with complete proofs, and more elementary proofs for many results that were proved ten or fifteen years ago. The authors added a frist section on classical algebraic topology to make the book accessible to students with only little background in algebraic topology.

Applications of Fibonacci Numbers / Volume 9

Автор: Howard Fredric T.
Название: Applications of Fibonacci Numbers / Volume 9
ISBN: 1402019386 ISBN-13(EAN): 9781402019388
Издательство: Springer
Цена: 14438 р.
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Описание: This volume presents the Proceedings of the Tenth International Conference on Fibonacci Numbers and their Applications, held in June 2002 in Flagstaff, Arizona. It contains research papers on the Fibonacci Numbers and their generalizations. All papers were carefully refereed for content and originality. The authors represent eight different countries. This volume will be of interest to graduate students and research mathematicians, whose work involves number theory, combinatorics, algebraic number theory, finite geometry and special functions.

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: 12704 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.

Many Rational Points / Coding Theory and Algebraic Geometry

Автор: Hurt N.E.
Название: Many Rational Points / Coding Theory and Algebraic Geometry
ISBN: 1402017669 ISBN-13(EAN): 9781402017667
Издательство: Springer
Цена: 12704 р.
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Описание: This monograph presents a comprehensive treatment of recent results on algebraic geometry as they apply to coding theory and cryptography, with the goal the study of algebraic curves and varieties with many rational points. They book surveys recent developments on abelian varieties, in particular the classification of abelian surfaces, hyperelliptic curves, modular towers, Kloosterman curves and codes, Shimura curves and modular jacobian surfaces. Applications of abelian varieties to cryptography are presented including a discussion of hyperelliptic curve cryptosystems. The inter-relationship of codes and curves is developed building on Goppa's results on algebraic-geometry cods. The volume provides a source book of examples with relationships to advanced topics regarding Sato-Tate conjectures, Eichler-Selberg trace formula, Katz-Sarnak conjectures and Hecke operators.


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