Download or read book A Study of the Fibonacci Sequence and Related Generalized Sequences written by Richard Lee Shildt and published by . This book was released on 1969 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Generalized Fibonacci Sequences written by Yashwant Kumar Panwar and published by LAP Lambert Academic Publishing. This book was released on 2012 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book entitled "Generalized Fibonacci sequences" has been written to meet the requirements of research scholars of Mathematics. This text provides an introduction to the generalized Fibonacci sequences that are typically encountered (and used) in Mathematics and Engineering research scholars.The amount of literature bears witness to the ubiquity of the Fibonacci numbers. Not only are these numbers popular in expository literature because of their beautiful properties, but also the fact that they occur in nature' adds to their fascination. The Fibonacci sequence and generalized Fibonacci sequence are a source of many nice and interesting identities. These numbers are of great importance in the study of many subjects such as algebra, geometry, combinatorics, approximation theory, graph theory and number theory itself. They occur in a variety of other fields such as finance, art, architecture, music, etc. Fibonacci sequence has been generalized in a number of ways. This book is centered on generalization of Fibonacci sequences.
Download or read book Generalization of Fibonacci Sequence written by Omprakash Sikhwal and published by LAP Lambert Academic Publishing. This book was released on 2012-03 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fibonacci sequence is one of the most rapidly growing areas of mathematics which has a wide variety of applications in science and mathematics. This sequence is constructed by choosing the first two numbers (The "seeds" of the sequence) then assigning the rest by the rule that each number be the sum of the two preceding numbers. The Fibonacci sequence is defined as 1 1 2 3 5 8 13 21 34 55 89 144 .... The terms are called Fibonacci numbers. Fibonacci numbers are studied as part of number theory and have many applications in the counting of mathematical objects such as sets, permutations and sequences and to computer science. This sequence is a very intriguing and interesting subject. This book is centered on generalization of Fibonacci sequences. Fibonacci sequence has been generalized in a number of ways. The author simply presented the subject matter in his own style and makes the subject easier by giving concepts and number of results related to each chapter. Emphasis has been made on methods of generalization for Fibonacci sequence in various patterns. Identities of coupled Fibonacci sequences are presented in additive and multiplicative forms.
Download or read book Fibonacci and Lucas Numbers and the Golden Section written by Steven Vajda and published by Courier Corporation. This book was released on 2008-01-01 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This survey of the use of Fibonacci and Lucas numbers and the ancient principle of the Golden Section covers areas relevant to operational research, statistics, and computational mathematics. 1989 edition.
Download or read book Generalized Fibonacci sequences in groupoids written by Hee Sik Kim and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we introduce the notion of generalized Fibonacci sequences over a groupoid and discuss it in particular for the case where the groupoid contains idempotents and pre-idempotents.
Download or read book Fibonacci s Liber Abaci written by Laurence Sigler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1202, Fibonacci’s Liber Abaci was one of the most important books on mathematics in the Middle Ages, introducing Arabic numerals and methods throughout Europe. This is the first translation into a modern European language, of interest not only to historians of science but also to all mathematicians and mathematics teachers interested in the origins of their methods.
Download or read book The Golden Ratio and Fibonacci Numbers written by R. A. Dunlap and published by World Scientific. This book was released on 1997 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this invaluable book, 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. In addition, the generation of the Fibonacci series and generalized Fibonacci series and their relationship to the golden ratio are presented. These concepts are applied to algorithms for searching and function minimization. The Fibonacci sequence is viewed as a one-dimensional aperiodic, lattice and these ideas are extended to two- and three-dimensional Penrose tilings and the concept of incommensurate projections. The structural properties of aperiodic crystals and the growth of certain biological organisms are described in terms of Fibonacci sequences. Contents: Basic Properties of the Golden Ratio; Geometric Problems in Two Dimensions; Geometric Problems in Three Dimensions; Fibonacci Numbers; Lucas Numbers and Generalized Fibonacci Numbers; Continued Fractions and Rational Approximants; Generalized Fibonacci Representation Theorems; Optimal Spacing and Search Algorithms; Commensurate and Incommensurate Projections; Penrose Tilings; Quasicrystallography; Biological Applications; Construction of the Regular Pentagon; The First 100 Fibonacci and Lucas Numbers; Relationships Involving the Golden Ratio and Generalized Fibonacci Numbers. Readership: Applied mathematicians.
Download or read book Applications of Fibonacci Numbers written by Fredric T. Howard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains 33 papers from among the 41 papers presented at the Eighth International Conference on Fibonacci Numbers and Their Applications which was held at the Rochester Institute of Technology, Rochester, New York, from June 22 to June 26, 1998. These papers have been selected after a careful review by well known referees in the field, and they range from elementary number theory to probability and statistics. The Fibonacci numbers and recurrence relations are their unifying bond. It is anticipated that this book, like its seven predecessors, will be useful to research workers and graduate students interested in the Fibonacci numbers and their applications. June 1, 1999 The Editor F. T. Howard Mathematics and Computer Science Wake Forest University Box 7388 Reynolda Station Winston-Salem, NC USA xvii THE ORGANIZING COMMITTEES LOCAL COMMITTEE INTERNATIONAL COMMITTEE Anderson, Peter G. , Chairman Horadam, A. F. (Australia), Co-Chair Arpaya, Pasqual Philippou, A. N. (Cyprus), Co-Chair Biles, John Bergum, G. E. (U. S. A. ) Orr, Richard Filipponi, P. (Italy) Radziszowski, Stanislaw Harborth, H. (Germany) Rich, Nelson Horibe, Y. (Japan) Howard, F. (U. S. A. ) Johnson, M. (U. S. A. ) Kiss, P. (Hungary) Phillips, G. M. (Scotland) Turner, J. (New Zealand) Waddill, M. E. (U. S. A. ) xix LIST OF CONTRIBUTORS TO THE CONFERENCE AGRATINI, OCTAVIAN, "Unusual Equations in Study. " *ANDO, SHIRO, (coauthor Daihachiro Sato), "On the Generalized Binomial Coefficients Defined by Strong Divisibility Sequences. " *ANATASSOVA, VASSIA K. , (coauthor J. C.
Download or read book Fibonacci Like Sequence written by Mohsen Dar and published by LAP Lambert Academic Publishing. This book was released on 2012 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the recent years, there has been much interest in the field of Fibonacci numbers.The Fibonacci sequence is considered as one of the most interesting sequences in all of mathematics.There are several ways in which the Fibonacci sequence can be generalized. In this book, the Fibonacci-Like sequence has been generalized.The associated initial conditions are the sum of initial conditions of Fibonacci sequence and m times the initial conditions of Lucas sequence respectively.Various properties and identities have been developed for this Generalized Fibonacci-Like sequenc
Download or read book From the Golden Rectangle to the Fibonacci Sequences written by Opher Liba and published by Springer Nature. This book was released on 2023-05-08 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book takes us on a fascinating journey through one of the most beautiful and fascinating topics of mathematics. It presents a wealth of information about the golden ratio and the Fibonacci sequence. The book introduces the reader to novel perspectives to classic mathematical concepts and problems. The book’s structure engages with the reader actively, leading to more profound understanding, satisfaction and deep insights in learning mathematics. The book strengthens and expands the readers' mathematical knowledge, allowing them a glimpse of several advanced academic concepts. It demonstrates and instils the essence of mathematical research, along the lines of George Polya: observation, conjecture, proof, implementation, generalization and raising new questions.
Download or read book Catalan Numbers with Applications written by Thomas Koshy and published by OUP USA. This book was released on 2009 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Two sided Generalized Fibonacci Sequences written by Peter C. Fishburn and published by . This book was released on 1987 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Generalized Fibonacci Sequences written by Paul Stanley Fisher and published by . This book was released on 1965 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book New Frontiers in Number Theory and Applications written by Jordi Guàrdia and published by Springer Nature. This book was released on with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Methods for Engineering Applications written by Víctor Gayoso Martínez and published by Springer Nature. This book was released on with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book SOME CONNECTIONS BETWEEN THE SMARANDACHE FUNCTION AND THE FIBONACCI SEQUENCE written by C. Dumitrescu and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper is aimed to provide generalizations of the Smarandache function. They will be constructed by means of sequences more general than the sequence of the factorials. Such sequences are monotonously convergent to zero sequences and divisibility sequences (in particular the Fibonacci sequence).
Download or read book Generalized Fibonacci Sequence and Related Polynomials written by Shikha Bhatnagar and published by . This book was released on 2018-07-28 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
