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612-822-4611
The Mathematics of Harmony: From Euclid to Contemporary Mathematics and Computer Science

The Mathematics of Harmony: From Euclid to Contemporary Mathematics and Computer Science

Hardcover

Series: Knots and Everything, Book 22

Algebra

ISBN10: 981277582X
ISBN13: 9789812775825
Publisher: World Scientific Publishing Company
Published: Oct 1 2009
Pages: 748
Weight: 3.35
Height: 1.40 Width: 6.70 Depth: 9.80
Language: English

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 Mathematics of Harmony, a new interdisciplinary direction of modern science. This direction has its origins in The Elements 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 golden algebraic equations, the generalized Binet formulas, Fibonacci and golden 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 golden matrices).

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Algebra