Mathematics Of Harmony: From Euclid To Contemporary Mathematics And Computer Science: 22 (Series on Knots & Everything) - Hardcover

STAKHOV ALEXEY

Hardcover

ISBN 10: 981277582X ISBN 13: 9789812775825

Publisher: World Scientific Publishing, 2009

Synopsis

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). 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.

Edition details

• Publisher: World Scientific Publishing
• Publication date: 2009
• Language: English
• ISBN 10: 981277582X
• ISBN 13: 9789812775825
• Binding: Hardcover
• Number of pages: 748