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Perfect numbers and fibonacci sequences, Cai, Tianxin (zhejiang Univ, China)


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Автор: Cai, Tianxin (zhejiang Univ, China)
Название:  Perfect numbers and fibonacci sequences
ISBN: 9789811244070
Издательство: World Scientific Publishing
Классификация:
ISBN-10: 9811244073
Обложка/Формат: Hardback
Страницы: 260
Вес: 0.53 кг.
Дата издания: 11.08.2022
Серия: Mathematics
Язык: English
Размер: 22.86 x 15.24 x 2.39 cm
Читательская аудитория: Tertiary education (us: college)
Ключевые слова: Number theory, MATHEMATICS / Combinatorics,MATHEMATICS / History & Philosophy,MATHEMATICS / Number Theory
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Поставляется из: Англии
Описание: In this book, we first review the history and current situation of the perfect number problem, including the origin story of the Mersenne primes, and then consider the history and current situation of the Fibonacci sequence. Both topics include results from our own research. In the later sections, we define the square sum perfect numbers, and describe for the first time the secret relationships connecting the square sum perfect numbers, the Fibonacci sequence, the Lucas sequence, the twin prime conjecture, and the Fermat primes. Throughout, we raise various interesting questions and conjectures.

Fibonacci-Like Sequences: A Scientific Approach

Автор: Alexander Edgar M.
Название: Fibonacci-Like Sequences: A Scientific Approach
ISBN: 1465385401 ISBN-13(EAN): 9781465385406
Издательство: Неизвестно
Цена: 18380.00 T
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Applications of Fibonacci Numbers

Автор: G.E. Bergum; Andreas N. Philippou; Alwyn F. Horada
Название: Applications of Fibonacci Numbers
ISBN: 0792350227 ISBN-13(EAN): 9780792350224
Издательство: Springer
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Цена: 125730.00 T
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Описание: This volume includes a collection of papers dealing with number patterns, linear recurrences and the application of the Fibonacci numbers to probability, statistics, differential equations, cryptography, computer science and elementary number theory.

Combinatorics and Number Theory of Counting Sequences

Автор: Istvan Mezo
Название: Combinatorics and Number Theory of Counting Sequences
ISBN: 1138564850 ISBN-13(EAN): 9781138564855
Издательство: Taylor&Francis
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Цена: 224570.00 T
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Описание: Combinatorialists are seldom aware of number theoretical tools, and number theorists rarely aware of possible combinatorial applications. This book is accessible for both of the groups. The first part introduces important counting sequences. The second part shows how these sequences can be generalized to study new combinatorial problems

Sequences

Автор: H. Halberstam; K.F. Roth
Название: Sequences
ISBN: 1461382297 ISBN-13(EAN): 9781461382294
Издательство: Springer
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Цена: 97820.00 T
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Описание: We try to give a readable and coherent account of the subject, con- taining a cross-section of the more interesting results. Needless to say, this approach entails the omission of many interesting and important results (quite apart from defects in the selection due to errors of judgement on our part).

Weakly Wandering Sequences in Ergodic Theory

Автор: Stanley Eigen; Arshag Hajian; Yuji Ito; Vidhu Pras
Название: Weakly Wandering Sequences in Ergodic Theory
ISBN: 4431564004 ISBN-13(EAN): 9784431564003
Издательство: Springer
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Цена: 79190.00 T
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Описание: In time it was shown that ww and related sequences reflected significant and deep properties of ergodic transformations that preserve an infinite measure.This monograph studies in a systematic way the role of ww and related sequences in the classification of ergodic transformations preserving an infinite measure.

Recurrence Sequences

Автор: Graham Everest, Alf van der Poorten, Igor Shparlinski, Thomas Ward
Название: Recurrence Sequences
ISBN: 1470423154 ISBN-13(EAN): 9781470423155
Издательство: Mare Nostrum (Eurospan)
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Цена: 91470.00 T
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Описание: Recurrence sequences have been a central part of number theory for many years. Moreover, these sequences appear almost everywhere in mathematics and computer science. This book surveys the modern theory of linear recurrence sequences and their generalizations. Particular emphasis is placed on the impact that methods from Diophantine analysis and transcendence theory have had on the subject.

Applications of Fibonacci Numbers

Автор: Andreas N. Philippou; Alwyn F. Horadam; G.E. Bergu
Название: Applications of Fibonacci Numbers
ISBN: 9027726736 ISBN-13(EAN): 9789027726735
Издательство: Springer
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Цена: 158340.00 T
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Applications of Fibonacci Numbers

Автор: G.E. Bergum; Andreas N. Philippou; Alwyn F. Horada
Название: Applications of Fibonacci Numbers
ISBN: 079230523X ISBN-13(EAN): 9780792305231
Издательство: Springer
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Цена: 111760.00 T
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Описание: Proceedings of `The Third International Conference on Fibonacci Numbers and Their Applications`, Pisa, Italy, July 25-29, 1988

Mathematics Of Harmony As A New Interdisciplinary Direction And  "Golden " Paradigm Of Modern Science - Volume 1: The Golden Section, Fibonacci Numbers, Pascal Triangle, And Platonic Solids

Автор: Stakhov Alexey
Название: Mathematics Of Harmony As A New Interdisciplinary Direction And "Golden " Paradigm Of Modern Science - Volume 1: The Golden Section, Fibonacci Numbers, Pascal Triangle, And Platonic Solids
ISBN: 9811207100 ISBN-13(EAN): 9789811207105
Издательство: World Scientific Publishing
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Цена: 84480.00 T
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Описание:

Volume I is the first part of the 3-volume book Mathematics of Harmony as a New Interdisciplinary Direction and "Golden" Paradigm of Modern Science. "Mathematics of Harmony" rises in its origin to the "harmonic ideas" of Pythagoras, Plato and Euclid, this 3-volume book aims to promote more deep understanding of ancient conception of the "Universe Harmony," the main conception of ancient Greek science, and implementation of this conception to modern science and education.

This 3-volume book is a result of the authors' research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the "Mathematics of Harmony," a new interdisciplinary direction of modern science. This direction has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the generalized Binet's formulas), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational bases, Fibonacci computers, ternary mirror-symmetrical arithmetic).

The books are intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science.


Applications of Fibonacci Numbers

Автор: G.E. Bergum; Andreas N. Philippou; Alwyn F. Horada
Название: Applications of Fibonacci Numbers
ISBN: 940107352X ISBN-13(EAN): 9789401073523
Издательство: Springer
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Цена: 93160.00 T
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Описание: Proceedings of `The Third International Conference on Fibonacci Numbers and Their Applications`, Pisa, Italy, July 25-29, 1988

Applications of Fibonacci Numbers

Автор: G.E. Bergum; Andreas N. Philippou; Alwyn F. Horada
Название: Applications of Fibonacci Numbers
ISBN: 9401049122 ISBN-13(EAN): 9789401049122
Издательство: Springer
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Цена: 93160.00 T
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Описание: Proceedings of The Fifth International Conference on Fibonacci Numbers and Their Applications, The University of St. Andrews, Scotland, July 20--24, 1992

Applications of Fibonacci Numbers

Автор: G.E. Bergum; Andreas N. Philippou; Alwyn F. Horada
Название: Applications of Fibonacci Numbers
ISBN: 9401055904 ISBN-13(EAN): 9789401055901
Издательство: Springer
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Цена: 46570.00 T
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Описание: Proceedings of the Fourth International Conference on Fibonacci Numbers and Their Applications, Wake Forest University, NC, USA, July 30 - August 3, 1990


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