Infinite Series that Sum to Golden Ratio PDF Download
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Author: Pedro Hugo Garcia Pelaez
Publisher:
ISBN: 9781370335138
Category :
Languages : en
Pages :
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Book Description
Author: Pedro Hugo Garcia Pelaez
Publisher:
ISBN: 9781370335138
Category :
Languages : en
Pages :
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Book Description
Author: Gary B. Meisner
Publisher: Quarto Publishing Group USA
ISBN: 076036026X
Category : Mathematics
Languages : en
Pages : 227
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Book Description
This enlightening and gorgeously illustrated book explores the beauty and mystery of the divine proportion in art, architecture, nature, and beyond. From the pyramids of Giza, to quasicrystals, to the proportions of the human face, the golden ratio has an infinite capacity to generate shapes with exquisite properties. Author Gary Meisner has spent decades researching the subject, investigating and collaborating with people across the globe in dozens of professions and walks of life. In The Golden Ratio, he shares his enlightening journey. Exploring the long history of this fascinating number, as well as new insights into its power and potential applications, The Golden Ratio invites you to take a new look at this timeless topic.
Author: Laurence Sigler
Publisher: Springer Science & Business Media
ISBN: 1461300797
Category : Mathematics
Languages : en
Pages : 736
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Book Description
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.
Author: Richard A Dunlap
Publisher: World Scientific
ISBN: 9814496944
Category : Mathematics
Languages : en
Pages : 170
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Book Description
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.
Author: Leo Zippin
Publisher:
ISBN:
Category : Infinite
Languages : en
Pages : 166
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Book Description
The word "infinity" usually elicits feelings of awe, wonder and admiration; the concept infinity has fascinated philosophers and theologians. The author of this book, mindful of the popular meanings and connotations of the word, shows how professional mathematicians tame this unwieldy concept, come to terms with it, and use its various aspects as their most powerful tools of the trade. --Back cover.
Author: N. P. Bali
Publisher: Firewall Media
ISBN: 9788131800553
Category :
Languages : en
Pages : 342
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Book Description
Author: Alexey Stakhov
Publisher: World Scientific
ISBN: 9812775838
Category : Mathematics
Languages : en
Pages : 745
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Book Description
Assisted by Scott Olsen ( Central Florida Community College, USA ). This volume is a result of the author's four decades of 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 OC Mathematics of Harmony, OCO a new interdisciplinary direction of modern science. This direction has its origins in OC The ElementsOCO of Euclid and 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 OC goldenOCO algebraic equations, the generalized Binet formulas, Fibonacci and OC goldenOCO matrices), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational radices, Fibonacci computers, ternary mirror-symmetrical arithmetic, a new theory of coding and cryptography based on the Fibonacci and OC goldenOCO matrices). The book is 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. Sample Chapter(s). Introduction (503k). Chapter 1: The Golden Section (2,459k). Contents: Classical Golden Mean, Fibonacci Numbers, and Platonic Solids: The Golden Section; Fibonacci and Lucas Numbers; Regular Polyhedrons; Mathematics of Harmony: Generalizations of Fibonacci Numbers and the Golden Mean; Hyperbolic Fibonacci and Lucas Functions; Fibonacci and Golden Matrices; Application in Computer Science: Algorithmic Measurement Theory; Fibonacci Computers; Codes of the Golden Proportion; Ternary Mirror-Symmetrical Arithmetic; A New Coding Theory Based on a Matrix Approach. Readership: Researchers, teachers and students in mathematics (especially those interested in the Golden Section and Fibonacci numbers), theoretical physics and computer science."
Author:
Publisher:
ISBN: 0199235945
Category :
Languages : en
Pages : 520
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Book Description
Author: Deborah Hughes-Hallett
Publisher: John Wiley & Sons
ISBN: 1119777828
Category : Mathematics
Languages : en
Pages : 786
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Book Description
Calculus: Single Variable, 8th Edition promotes active learning by providing students across multiple majors with a variety of problems with applications from the physical sciences, medicine, economics, engineering, and more. Designed to promote critical thinking to solve mathematical problems while highlighting the practical value of mathematics, the textbook brings calculus to real life with engaging and relevant examples, numerous opportunities to master key mathematical concepts and skills, and a student-friendly approach that reinforces the conceptual understanding necessary to reduce complicated problems to simple procedures. Developed by the Harvard University Calculus Consortium, Calculus focuses on the Rule of Four—viewing problems graphically, numerically, symbolically, and verbally—with particular emphasis placed on introducing a variety of perspectives for students with different learning styles. The eighth edition provides more problem sets, up-to-date examples, and a range of new multi-part graphing questions and visualizations powered by GeoGebra that reinforce the Rule of Four and strengthen students’ comprehension.
Author: Don Cohen
Publisher: Donald Cohen
ISBN: 0977949311
Category :
Languages : en
Pages : 613
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Book Description
A two-disc cd set of ALL Don's materials, includes:1. book: "Calculus By And For Young People (Ages 7, yes 7 and up)"2. book: "Calculus By And For Young People - Worksheets"3. "A Map To Calculus" - 15x18inch poster-map, overview4. Video#1: "Infinite Series By And For 6-Year-Olds And Up"5. Video #2: "Iteration To Infinite Sequences With 6- to 11-Year Olds"6. book: "Changing Shapes With Matrices"7. "On Thinking About And Doing Mathematics" - 11x14 inch posterThese discs need Adobe Reader - link included and Windows Media Player - link included.
