Fibonacci and Lucas Numbers, and the Golden Section - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fibonacci and Lucas Numbers, and the Golden Section write by Steven Vajda. This book was released on 2008-01-01. Fibonacci and Lucas Numbers, and the Golden Section available in PDF, EPUB and Kindle. 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.
Fibonacci & Lucas Numbers, and the Golden Section
Fibonacci & Lucas Numbers, and the Golden Section - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fibonacci & Lucas Numbers, and the Golden Section write by S. Vajda. This book was released on 1989. Fibonacci & Lucas Numbers, and the Golden Section available in PDF, EPUB and Kindle.
The Golden Ratio and Fibonacci Numbers
The Golden Ratio and Fibonacci Numbers - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Golden Ratio and Fibonacci Numbers write by R. A. Dunlap. This book was released on 1997. The Golden Ratio and Fibonacci Numbers available in PDF, EPUB and Kindle. 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.
Fibonacci and Lucas Numbers with Applications
Fibonacci and Lucas Numbers with Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fibonacci and Lucas Numbers with Applications write by Thomas Koshy. This book was released on 2011-10-24. Fibonacci and Lucas Numbers with Applications available in PDF, EPUB and Kindle. 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.
Fibonacci and Lucas Numbers with Applications, Volume 2
Fibonacci and Lucas Numbers with Applications, Volume 2 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fibonacci and Lucas Numbers with Applications, Volume 2 write by Thomas Koshy. This book was released on 2018-12-14. Fibonacci and Lucas Numbers with Applications, Volume 2 available in PDF, EPUB and Kindle. 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.
