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 end result 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 large advent to the interesting and lovely topic of the "Mathematics of Harmony," a brand new interdisciplinary path of recent technology. This path has its origins in "The parts" of Euclid and has many unforeseen functions in modern arithmetic (a new method of a historical past 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 versions of Nature) and desktop technology (algorithmic size thought, quantity platforms with irrational radices, Fibonacci pcs, ternary mirror-symmetrical mathematics, a brand new concept of coding and cryptography in keeping with the Fibonacci and "golden" matrices).The ebook is meant for a large viewers together with arithmetic academics of excessive colleges, scholars of faculties and universities and scientists within the box of arithmetic, theoretical physics and machine technological know-how. The ebook can be used as a sophisticated textbook by way of graduate scholars or even bold undergraduates in arithmetic and desktop technological know-how.

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