Download E-books Mathematics of Harmony (Series on Knots and Everything) (Series on Knots and Everything (Hardcover)) PDF

By Alexey Stakhov, Scott Olsen

This quantity is because of the the author's 4 a long time of study within the box of Fibonacci numbers and the Golden part and their purposes. It offers a huge advent to the interesting and gorgeous topic of the "Mathematics of Harmony," a brand new interdisciplinary path of recent technological know-how. This course has its origins in "The parts" of Euclid and has many unforeseen purposes in modern arithmetic (a new method of a heritage of arithmetic, the generalized Fibonacci numbers and the generalized golden proportions, the "golden" algebraic equations, the generalized Binet formulation, Fibonacci and "golden" matrices), theoretical physics (new hyperbolic types of Nature) and computing device technological know-how (algorithmic dimension conception, quantity structures with irrational radices, Fibonacci desktops, ternary mirror-symmetrical mathematics, a brand new idea of coding and cryptography in keeping with the Fibonacci and "golden" matrices).The e-book is meant for a large viewers together with arithmetic lecturers of excessive faculties, scholars of faculties and universities and scientists within the box of arithmetic, theoretical physics and desktop technology. The booklet can be used as a complicated textbook via graduate scholars or even bold undergraduates in arithmetic and laptop technological know-how.

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