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Mathematics of Harmony (Series on Knots and Everything) (Series in Knots and Everything) Hardcover – October, 2009

ISBN-13: 978-9812775825 ISBN-10: 981277582X Edition: 1st

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Product Details

  • Series: Series in Knots and Everything (Book 22)
  • Hardcover: 748 pages
  • Publisher: World Scientific Publishing Company; 1st edition (October 2009)
  • Language: English
  • ISBN-10: 981277582X
  • ISBN-13: 978-9812775825
  • Product Dimensions: 6.7 x 1.4 x 9.8 inches
  • Shipping Weight: 3.4 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #2,105,935 in Books (See Top 100 in Books)

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13 of 14 people found the following review helpful By Volkmar Weiss on December 6, 2009
Format: Hardcover
Professor Stakhov has written a book that may well change not only the way we view the history of mathematics, but the future development of mathematics in its application to the natural sciences and computer design. This book is the result of the author's four decades of research in the field of Fibonacci numbers and the Golden Mean (also called the Golden Ratio or the Golden Section) and their applications. The volume contains chapters on the history of mathematics, the generalized Fibonaccis and Lucas numbers, the generalized golden proportions, the golden algebraic equations, the generalized Binet formulas, Fibonacci and golden matrices, and hyperbolic models. Stakhov suggests applications of number systems (Bergman's numeral system) with irrational radices in computers, coding theory, cryptography and mobil phone design, because irrational numbers are nothing else than commands for mathematical operations in space and time, see Where Mathematics Comes From: How the Embodied Mind Brings Mathematics into Being.

Stakhov, of Russian and Ukrainian background, now living in Toronto, Canada, is an outstanding member of a minority of scientists, who has realized that the Golden Mean and its expression through Pascal's Triangle, Fibonacci and Lucas Number lies at the very center of the creative principle of nature itself. Recent scientific developments in physics, chemistry and cosmology have refocused attention to the mathematical properties of the Golden Mean and its meaning on the macrocosmic and microcosmic levels.
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2 of 2 people found the following review helpful By Jim Harlow on April 16, 2013
Format: Hardcover Verified Purchase
As a child I read "Dr Posin's Giants- men of science" and found it inspirational. As an adult I read this book by Stakhov and I am bewildered - How did I overlook this book when it was first printed? This book is a masterful exploration of history and the essence of mathematical reasoning...by a master of the subjects.

Thanks you, Professor Stakhov, for a marvelous contribution in this discipline.

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