The Mathematics of Harmony: From Euclid to Contemporary Mathematics and Computer Science (Series on Knots and Everything) (Series in Knots and Everything)

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9789812775825: The Mathematics of Harmony: From Euclid to Contemporary Mathematics and Computer Science (Series on Knots and Everything) (Series in Knots and Everything)
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Assisted by Scott Olsen (Central Florida Community College, USA)

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.

Readership: Researchers, teachers and students in mathematics (especially those interested in the Golden Section and Fibonacci numbers), theoretical physics and computer science.

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About the Author:

Born and raised in the Ukraine, Alexey Stakhov now lives with his wife Antonina and his children and grandchildren in Toronto, Canada. An absolute genius in both the foundational principles and practical applications of mathematics, he was instrumental in the some of the former Soviet Union's most profound scientific developments and patents. An outstanding and tireless researcher, brilliant writer, and excellent scholar, Alexey is also a true friend. Over the years he has exhibited superb research skills, organizational abilities and real leadership, at one time overseeing over sixty scientists in the soviet space program. He exudes the highest degree of professionalism, an intense will to succeed, and most importantly, a wonderfully creative and probing mind. His insights in this work are so remarkable that it may well change not only the way we view the history of mathematics, but the future development of mathematics in its applications to the natural sciences. In particular, Professor Stakhov's knowledge of the Golden Section in both its intricacies and ramifications for the natural sciences is the actual state of the art in academia. And there is no one alive in the world today who understands more fully the real nature and possibilities of the Golden Mean, than Professor Alexey Stakhov.

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Book Description World Scientific Publishing Co Pte Ltd, Singapore, 2009. Hardback. Condition: New. Language: English . Brand New Book. Assisted by Scott Olsen (Central Florida Community College, USA) 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. Seller Inventory # AAJ9789812775825

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Book Description World Scientific Publishing Co Pte Ltd, Singapore, 2009. Hardback. Condition: New. Language: English . Brand New Book. Assisted by Scott Olsen (Central Florida Community College, USA) 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. Seller Inventory # AAJ9789812775825

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Book Description World Scientific Publishing Co Pte Ltd. Hardback. Condition: new. BRAND NEW, The Mathematics of Harmony: From Euclid to Contemporary Mathematics and Computer Science, Alexey Stakhov, 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. Seller Inventory # B9789812775825

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