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Author : S. Shirali
Publisher : Universities Press
ISBN 13 : 9788173713699
Total Pages : 256 pages
Book Rating : 4.7/5 (136 download)
Download or read book A Primer on Number Sequences written by S. Shirali and published by Universities Press. This book was released on 2001-07 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Marjorie Bicknell
Publisher :
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4.3/5 (91 download)
Download or read book A Primer for the Fibonacci Numbers written by Marjorie Bicknell and published by . This book was released on 1973 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Edward D. Dobson
Publisher : Wasendorf & Associates Incorporated
ISBN 13 : 9780934380089
Total Pages : 16 pages
Book Rating : 4.3/5 (8 download)
Download or read book Understanding Fibonacci Numbers written by Edward D. Dobson and published by Wasendorf & Associates Incorporated. This book was released on 1984 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: Primer booklet which explains and describes the fascinating Fibonacci number sequence, and how it is utilized by traders to forecast and interpret price action. Comprehensive bibliography lists all known references on this subject.
Author : G.E. Bergum
Publisher : Springer Science & Business Media
ISBN 13 : 940113586X
Total Pages : 339 pages
Book Rating : 4.4/5 (11 download)
Download or read book Applications of Fibonacci Numbers written by G.E. Bergum and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains thirty-three papers from among the thirty-eight papers presented at the Fourth International Conference on Fibonacci Numbers and Their Applications which was held at Wake Forest University, Winston-Salem, North Carolina from July 30 to August 3, 1990. 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 three predecessors, will be useful to research workers and graduate students interested in the Fibonacci numbers and their applications. March 1, 1991 The Editors Gerald E. Bergum South Dakota State University Brookings, South Dakota, U. S. A. Alwyn F. Horadam University of New England Armidale, N. S. W. , Australia Andreas N. Philippou Minister of Education Ministry of Education Nicosia, Cyprus xv THE ORGANIZING COMMITTEES LOCAL COMMITTEE INTERNATIONAL COMMITTEE Howard, Fred T. , Co-Chair Horadam, A. F. (Australia), Co-Chair Waddill, Marcellus E. , Co-Chair Philippou, A. N. (Cyprus), Co-Chair Hayashi, Elmer K. Ando, S. (Japan) Bergum, G. E. (U. S. A. ) Vaughan, Theresa Harrell, Deborah Bicknell-Johnson, M. B. (U. S. A. ) Campbell, Colin (Scotland) Filipponi, Piero (Italy) Kiss, P. (Hungary) Turner, J. C. (New Zealand) xvii LIST OF CONTRIBUTORS TO THE CONFERENCE *ALFORD, CECIL 0. , (coauthor Daniel C. Fielder) "Pascal's Triangle: Top Gun or Just One of the Gang?" *ANDERSON, PETER G. , "A Fibonacci-Based Pseudo-Random Number Generator.
Author : Thomas Koshy
Publisher : John Wiley & Sons
ISBN 13 : 1118742060
Total Pages : 704 pages
Book Rating : 4.1/5 (187 download)
Download or read book Fibonacci and Lucas Numbers with Applications written by Thomas Koshy and published by John Wiley & Sons. This book was released on 2017-12-04 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Author : K T Atanassov
Publisher : World Scientific
ISBN 13 : 9814487791
Total Pages : 332 pages
Book Rating : 4.8/5 (144 download)
Download or read book New Visual Perspectives on Fibonacci Numbers written by K T Atanassov and published by World Scientific. This book was released on 2002-10-01 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers new ground on Fibonacci sequences and the well-known Fibonacci numbers. It will appeal to research mathematicians wishing to advance the new ideas themselves, and to recreational mathematicians, who will enjoy the various visual approaches and the problems inherent in them. There is a continuing emphasis on diagrams, both geometric and combinatorial, which helps to tie disparate topics together, weaving around the unifying themes of the golden mean and various generalizations of the Fibonacci recurrence relation. Very little prior mathematical knowledge is assumed, other than the rudiments of algebra and geometry, so the book may be used as a source of enrichment material and project work for college students. A chapter on games using goldpoint tiles is included at the end, and it can provide much material for stimulating mathematical activities involving geometric puzzles of a combinatoric nature. Contents:Number Theoretic Perspectives — Coupled Recurrence Relations:Introductory Remarks by the First AuthorThe 2–Fibonacci SequencesExtensions of the Concepts of 2–Fibonacci SequencesOther Ideas for Modification of the Fibonacci SequencesNumber Theoretic Perspectives—Number Trees:Introduction — Turner's Number TreesGeneralizations Using TableauxOn Gray Codes and Coupled Recurrence TreesStudies of Node Sums on Number TreesConnections with Pascal–T TrianglesGeometric Perspectives — Finonacci Vector Geometry:Introduction and Elementary ResultsVector Sequences from Linear RecurrencesThe Fibonacci Honeycomb PlaneFibonacci and Lucas Vector PolygonsTrigonometry in the Honeycomb PlaneVector Sequences Generated in PlanesFibonacci Tracks, Groups, and Plus–Minus SequencesGeometric Perspectives — Goldpoint Geometry:On Goldpoints and Golden-Mean ConstructionsThe Goldpoint Rings of a Line-SegmentSome Fractals in Goldpoint GeometryTriangles and Squares Marked with GoldpointsPlane Tessellations with Goldpoint TrianglesTessellations with Goldpoint SquaresGames with Goldpoint Tiles Readership: Researchers, academics, college teachers and general readers interested in Fibonacci mathematics. Keywords:Reviews:“… the authors explored many applications of the Fibonacci-type sequences that are new and point the way to many additional lines of study. Their ideas were original and well-described and I recommend this book to anyone interested in iterative processes on integers.”MAA Online Book Review “Altogether this is a very stimulating book.”Mathematics Abstracts “… much of the number-theoretical work gains a good deal of interest if the reader has some knowledge of these traditional results and techniques.”New Zealand Mathematical Society Newsletter “Vorobiev's book presents a solid overview, perfectly pitched to undergraduates … it speaks to a more sophisticated audience and reflects the new developments of the intervening years, especially the beautiful role of Fibonacci numbers in Matiyasevich's groundbreaking negative solution of Hilbert's tenth problem.”Choice
Author : Thomas Koshy
Publisher : John Wiley & Sons
ISBN 13 : 1118031318
Total Pages : 676 pages
Book Rating : 4.1/5 (18 download)
Download or read book Fibonacci and Lucas Numbers with Applications written by Thomas Koshy and published by John Wiley & Sons. This book was released on 2011-10-24 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first comprehensive survey of mathematics' most fascinatingnumber sequences Fibonacci and Lucas numbers have intrigued amateur and professionalmathematicians for centuries. This volume represents the firstattempt to compile a definitive history and authoritative analysisof these famous integer sequences, complete with a wealth ofexciting applications, enlightening examples, and fun exercisesthat offer numerous opportunities for exploration andexperimentation. The author has assembled a myriad of fascinating properties of bothFibonacci and Lucas numbers-as developed by a wide range ofsources-and catalogued their applications in a multitude of widelyvaried disciplines such as art, stock market investing,engineering, and neurophysiology. Most of the engaging anddelightful material here is easily accessible to college and evenhigh school students, though advanced material is included tochallenge more sophisticated Fibonacci enthusiasts. A historicalsurvey of the development of Fibonacci and Lucas numbers,biographical sketches of intriguing personalities involved indeveloping the subject, and illustrative examples round out thisthorough and amusing survey. Most chapters conclude with numericand theoretical exercises that do not rely on long and tediousproofs of theorems. Highlights include: * Balanced blend of theory and real-world applications * Excellent reference material for student reports andprojects * User-friendly, informal, and entertaining writing style * Historical interjections and short biographies that add a richerperspective to the topic * Reference sections providing important symbols, problemsolutions, and fundamental properties from the theory of numbersand matrices Fibonacci and Lucas Numbers with Applications providesmathematicians with a wealth of reference material in oneconvenient volume and presents an in-depth and entertainingresource for enthusiasts at every level and from any background.
Author : Alfred S. Posamentier
Publisher : Prometheus Books
ISBN 13 : 1615920226
Total Pages : 385 pages
Book Rating : 4.6/5 (159 download)
Download or read book The Fabulous Fibonacci Numbers written by Alfred S. Posamentier and published by Prometheus Books. This book was released on 2010-12-30 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: The most ubiquitous, and perhaps the most intriguing, number pattern in mathematics is the Fibonacci sequence. In this simple pattern beginning with two ones, each succeeding number is the sum of the two numbers immediately preceding it (1, 1, 2, 3, 5, 8, 13, 21, ad infinitum). Far from being just a curiosity, this sequence recurs in structures found throughout nature - from the arrangement of whorls on a pinecone to the branches of certain plant stems. All of which is astounding evidence for the deep mathematical basis of the natural world. With admirable clarity, two veteran math educators take us on a fascinating tour of the many ramifications of the Fibonacci numbers. They begin with a brief history of a distinguished Italian discoverer, who, among other accomplishments, was responsible for popularizing the use of Arabic numerals in the West. Turning to botany, the authors demonstrate, through illustrative diagrams, the unbelievable connections between Fibonacci numbers and natural forms (pineapples, sunflowers, and daisies are just a few examples). In art, architecture, the stock market, and other areas of society and culture, they point out numerous examples of the Fibonacci sequence as well as its derivative, the "golden ratio." And of course in mathematics, as the authors amply demonstrate, there are almost boundless applications in probability, number theory, geometry, algebra, and Pascal's triangle, to name a few. Accessible and appealing to even the most math-phobic individual, this fun and enlightening book allows the reader to appreciate the elegance of mathematics and its amazing applications in both natural and cultural settings.
Author : Opher Liba
Publisher : Springer Nature
ISBN 13 : 3030976009
Total Pages : 174 pages
Book Rating : 4.0/5 (39 download)
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.
Author : Fredric T. Howard
Publisher : Springer Science & Business Media
ISBN 13 : 0306485176
Total Pages : 328 pages
Book Rating : 4.3/5 (64 download)
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 2004-02-29 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains 28 research articles from among the 49 papers and abstracts presented at the Tenth International Conference on Fibonacci Numbers and Their Applications. These articles have been selected after a careful review by expert referees, and they range over many areas of mathematics. The Fibonacci numbers and recurrence relations are their unifying bond. We note that the article "Fibonacci, Vern and Dan" , which follows the Introduction to this volume, is not a research paper. It is a personal reminiscence by Marjorie Bicknell-Johnson, a longtime member of the Fibonacci Association. The editor believes it will be of interest to all readers. It is anticipated that this book, like the eight predecessors, will be useful to research workers and students at all levels who are interested in the Fibonacci numbers and their applications. March 16, 2003 The Editor Fredric T. Howard Mathematics Department Wake Forest University Box 7388 Reynolda Station Winston-Salem, NC 27109 xxi THE ORGANIZING COMMITTEES LOCAL COMMITTEE INTERNATIONAL COMMITTEE Calvin Long, Chairman A. F. Horadam (Australia), Co-Chair Terry Crites A. N. Philippou (Cyprus), Co-Chair Steven Wilson A. Adelberg (U. S. A. ) C. Cooper (U. S. A. ) Jeff Rushal H. Harborth (Germany) Y. Horibe (Japan) M. Bicknell-Johnson (U. S. A. ) P. Kiss (Hungary) J. Lahr (Luxembourg) G. M. Phillips (Scotland) J. 'Thrner (New Zealand) xxiii xxiv LIST OF CONTRlBUTORS TO THE CONFERENCE * ADELBERG, ARNOLD, "Universal Bernoulli Polynomials and p-adic Congruences. " *AGRATINI, OCTAVIAN, "A Generalization of Durrmeyer-Type Polynomials. " BENJAMIN, ART, "Mathemagics.
Author : Eric W. Weisstein
Publisher : CRC Press
ISBN 13 : 1420035223
Total Pages : 3253 pages
Book Rating : 4.4/5 (2 download)
Download or read book CRC Concise Encyclopedia of Mathematics written by Eric W. Weisstein and published by CRC Press. This book was released on 2002-12-12 with total page 3253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d
Author : Thomas Koshy
Publisher : John Wiley & Sons
ISBN 13 : 1118742141
Total Pages : 755 pages
Book Rating : 4.1/5 (187 download)
Download or read book Fibonacci and Lucas Numbers with Applications, Volume 2 written by Thomas Koshy and published by John Wiley & Sons. This book was released on 2018-12-13 with total page 755 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume II provides an advanced approach to the extended gibonacci family, which includes Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal, Jacobsthal-Lucas, Vieta, Vieta-Lucas, and Chebyshev polynomials of both kinds. This volume offers a uniquely unified, extensive, and historical approach that will appeal to both students and professional mathematicians. As in Volume I, Volume II focuses on problem-solving techniques such as pattern recognition; conjecturing; proof-techniques, and applications. It offers a wealth of delightful opportunities to explore and experiment, as well as plentiful material for group discussions, seminars, presentations, and collaboration. In addition, the material covered in this book promotes intellectual curiosity, creativity, and ingenuity. Volume II features: A wealth of examples, applications, and exercises of varying degrees of difficulty and sophistication. Numerous combinatorial and graph-theoretic proofs and techniques. A uniquely thorough discussion of gibonacci subfamilies, and the fascinating relationships that link them. Examples of the beauty, power, and ubiquity of the extended gibonacci family. An introduction to tribonacci polynomials and numbers, and their combinatorial and graph-theoretic models. Abbreviated solutions provided for all odd-numbered exercises. Extensive references for further study. This volume will be a valuable resource for upper-level undergraduates and graduate students, as well as for independent study projects, undergraduate and graduate theses. It is the most comprehensive work available, a welcome addition for gibonacci enthusiasts in computer science, electrical engineering, and physics, as well as for creative and curious amateurs.
Author : Alexander Kheyfits
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110751240
Total Pages : 348 pages
Book Rating : 4.1/5 (17 download)
Download or read book A Primer in Combinatorics written by Alexander Kheyfits and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-09-07 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of this well-received textbook is devoted to Combinatorics and Graph Theory, which are cornerstones of Discrete Mathematics. Every section begins with simple model problems. Following their detailed analysis, the reader is led through the derivation of definitions, concepts, and methods for solving typical problems. Theorems then are formulated, proved, and illustrated by more problems of increasing difficulty.
Author : Krassimir T. Atanassov
Publisher : World Scientific
ISBN 13 : 9789812381347
Total Pages : 334 pages
Book Rating : 4.3/5 (813 download)
Download or read book New Visual Perspectives on Fibonacci Numbers written by Krassimir T. Atanassov and published by World Scientific. This book was released on 2002 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses new ground on Fibonacci sequences and the well-known Fibonacci numbers. There is a continuing emphasis on diagrams, both geometric and combinatorial, which helps to tie disparate topics together, weaving around the unifying themes of the golden mean and various generalizations of the Fibonacci recurrence relation.
Author : Hans Petter Langtangen
Publisher : Springer Science & Business Media
ISBN 13 : 3642302939
Total Pages : 822 pages
Book Rating : 4.6/5 (423 download)
Download or read book A Primer on Scientific Programming with Python written by Hans Petter Langtangen and published by Springer Science & Business Media. This book was released on 2012-07-04 with total page 822 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book serves as a first introduction to computer programming of scientific applications, using the high-level Python language. The exposition is example- and problem-oriented, where the applications are taken from mathematics, numerical calculus, statistics, physics, biology, and finance. The book teaches "Matlab-style" and procedural programming as well as object-oriented programming. High school mathematics is a required background, and it is advantageous to study classical and numerical one-variable calculus in parallel with reading this book. Besides learning how to program computers, the reader will also learn how to solve mathematical problems, arising in various branches of science and engineering, with the aid of numerical methods and programming. By blending programming, mathematics and scientific applications, the book lays a solid foundation for practicing computational science.
Author : Nicolai N. Vorobiev
Publisher : Birkhäuser
ISBN 13 : 303488107X
Total Pages : 180 pages
Book Rating : 4.0/5 (348 download)
Download or read book Fibonacci Numbers written by Nicolai N. Vorobiev and published by Birkhäuser. This book was released on 2012-12-06 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their discovery hundreds of years ago, people have been fascinated by the wondrous properties of Fibonacci numbers. Being of mathematical significance in their own right, Fibonacci numbers have had an impact on areas like art and architecture, and their traces can be found in nature and even the behavior of the stock market. Starting with the basic properties of Fibonacci numbers, the present book explores their relevance in number theory, the theory of continued fractions, geometry and approximation theory. Rather than giving a complete account of the subject, a few chosen examples are treated exhaustively. They not only reveal the bearing of Fibonacci numbers on mathematics, but also provide very readable marvels of mathematical reasoning. This book is the translation of the 6th Russian edition (the first edition appeared in the early fifties and became a standard source of information on the subject).
Author : Renna Shesso
Publisher : Weiser Books
ISBN 13 : 1609252748
Total Pages : 208 pages
Book Rating : 4.6/5 (92 download)
Download or read book Math for Mystics written by Renna Shesso and published by Weiser Books. This book was released on 2007-04-01 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Much of math history comes to us from early astrologers who needed to be able to describe and record what they saw in the night sky. Whether you were the king’s court astrologer or a farmer marking the best time for planting, timekeeping and numbers really mattered. Mistake a numerical pattern of petals and you could be poisoned. Lose the rhythm of a sacred dance or the meter of a ritually told story and the intricately woven threads that hold life together were spoiled. Ignore the celestial clock of equinoxes and solstices, and you’d risk being caught short of food for the winter. Shesso’s friendly tone and clear grasp of the information make the math “go down easy” in this marvelous book.
