The Golden Ratio Phi Original Contributions New Discoveries
DOWNLOAD eBooks
Download The Golden Ratio Phi Original Contributions New Discoveries PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get The Golden Ratio Phi Original Contributions New Discoveries book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
The Golden Ratio Phi Original Contributions New Discoveries
DOWNLOAD eBooks
Author : Andrei-Lucian Drăgoi
language : en
Publisher: Dr. Andrei-Lucian Drăgoi
Release Date : 2024-01-14
The Golden Ratio Phi Original Contributions New Discoveries written by Andrei-Lucian Drăgoi and has been published by Dr. Andrei-Lucian Drăgoi this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-14 with Education categories.
The Golden Ratio (PHI) (aka “golden mean”, “golden section” or “divine section”: standardly denoted with the capital Greek letter PHI) is the only positive (irrational) quadratic solution of the (minimal polynomial) equation x^2-x-1=0, so that PHI=[sqrt(5)+1]/2. The purpose of this paper is to demonstrate some aspects recently discovered by the author of this paper: (1) a recursive geometrical method for constructing PHI (inspired by the Taoist religious iconography) which is more simple and elegant than Odom’s method; (2) an occurrence of PHI in the water molecule geometry; (3) a quasi-Pythagorean property of the (PHI, e, PI) triad; (4) some other interesting quasi-exact relations between the elements of the (PHI, e, PI) triad; (5) the tendency of the human systolic/diastolic blood pressure different (combinational) ratios to stabilize (with age) to values close to PHI;
The Golden Ratio
DOWNLOAD eBooks
Author : Gary B. Meisner
language : en
Publisher: Race Point Publishing
Release Date : 2018-10-23
The Golden Ratio written by Gary B. Meisner and has been published by Race Point Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-23 with Mathematics categories.
The Golden Ratio examines the presence of this divine number in art and architecture throughout history, as well as its ubiquity among plants, animals, and even the cosmos. This gorgeous book—with layflat dimensions that closely approximate the golden ratio—features clear, enlightening, and entertaining commentary alongside stunning full-color illustrations by Venezuelan artist and architect Rafael Araujo. 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. This book invites you to take a new look at this timeless topic, with a compilation of research and information worthy of a text book, accompanied by over 200 beautiful color illustrations that transform this into the ultimate coffee table book. Author Gary Meisner shares the results of his twenty-year investigation and collaboration with thousands of people across the globe in dozens of professions and walks of life. The evidence will close the gaps of understanding related to many claims of the golden ratio’s appearances and applications, and present new findings to take our knowledge further yet. Whoever you are, and whatever you may know about this topic, you’ll find something new, interesting, and informative in this book, and may find yourself challenged to see, apply, and share this unique number of mathematics and science in new ways.
The Golden Deer Of Eurasia
DOWNLOAD eBooks
Author : Joan Aruz
language : en
Publisher: Metropolitan Museum of Art
Release Date : 2006
The Golden Deer Of Eurasia written by Joan Aruz and has been published by Metropolitan Museum of Art this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Art, Scythian categories.
The Mathematics Of Harmony
DOWNLOAD eBooks
Author : Alexey Stakhov
language : en
Publisher: World Scientific
Release Date : 2009
The Mathematics Of Harmony written by Alexey Stakhov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
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."
The Divine Proportion
DOWNLOAD eBooks
Author : H. E. Huntley
language : en
Publisher: Courier Corporation
Release Date : 2012-06-08
The Divine Proportion written by H. E. Huntley and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-08 with Mathematics categories.
Discussion ranges from theories of biological growth to intervals and tones in music, Pythagorean numerology, conic sections, Pascal's triangle, the Fibonnacci series, and much more. Excellent bridge between science and art. Features 58 figures.
Fibonacci S Liber Abaci
DOWNLOAD eBooks
Author : Laurence Sigler
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Fibonacci S Liber Abaci written by Laurence Sigler and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
A Mathematical History Of The Golden Number
DOWNLOAD eBooks
Author : Roger Herz-Fischler
language : en
Publisher: Courier Corporation
Release Date : 2013-12-31
A Mathematical History Of The Golden Number written by Roger Herz-Fischler and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-31 with Mathematics categories.
This comprehensive study traces the historic development of division in extreme and mean ratio ("the golden number") from its first appearance in Euclid's Elements through the 18th century. Features numerous illustrations.
Alex S Adventures In Numberland
DOWNLOAD eBooks
Author : Alex Bellos
language : en
Publisher: A&C Black
Release Date : 2010-04-05
Alex S Adventures In Numberland written by Alex Bellos and has been published by A&C Black this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-05 with Mathematics categories.
A tenth anniversary edition of the iconic book about the wonderful world of maths Sunday Times bestseller | Shortlisted for the BBC Samuel Johnson Prize 'Original and highly entertaining' Sunday Times 'A page turner about humanity's strange, never easy and, above all, never dull relationship with numbers' New Scientist 'Will leave you hooked on numbers' Daily Telegraph In this richly entertaining and accessible book, Alex Bellos explodes the myth that maths is best left to the geeks, and demonstrates the remarkable ways it's linked to our everyday lives. Alex explains the surprising geometry of the 50p piece, and the strategy of how best to gamble it in a casino. He shines a light on the mathematical patterns in nature, and on the peculiar predictability of random behaviour. He eats a potato crisp whose revolutionary shape was unpalatable to the ancient Greeks, and he shows the deep connections between maths, religion and philosophy. From the world's fastest mental calculators in Germany to numerologists in the US desert, from a startlingly numerate chimpanzee in Japan to venerable Hindu sages in India, these dispatches from 'Numberland' are an unlikely but exhilarating cocktail of history, reportage and mathematical proofs. The world of maths is a much friendlier and more colourful place than you might have imagined. This anniversary edition is fully revised and updated.
The Critic
DOWNLOAD eBooks
Author :
language : en
Publisher:
Release Date : 1883
The Critic written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1883 with categories.
Is God A Mathematician
DOWNLOAD eBooks
Author : Mario Livio
language : en
Publisher: Simon and Schuster
Release Date : 2011-02-22
Is God A Mathematician written by Mario Livio and has been published by Simon and Schuster this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-22 with Mathematics categories.
Bestselling author and astrophysicist Mario Livio examines the lives and theories of history’s greatest mathematicians to ask how—if mathematics is an abstract construction of the human mind—it can so perfectly explain the physical world. Nobel Laureate Eugene Wigner once wondered about “the unreasonable effectiveness of mathematics” in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that—mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true. Is mathematics ultimately invented or discovered? If, as Einstein insisted, mathematics is “a product of human thought that is independent of experience,” how can it so accurately describe and even predict the world around us? Physicist and author Mario Livio brilliantly explores mathematical ideas from Pythagoras to the present day as he shows us how intriguing questions and ingenious answers have led to ever deeper insights into our world. This fascinating book will interest anyone curious about the human mind, the scientific world, and the relationship between them.