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ISBN 10: 9814678295 / ISBN 13: 9789814678292
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Synopsis: This unique book overturns our ideas about non-Euclidean geometry and the fine-structure constant, and attempts to solve long-standing mathematical problems. It describes a general theory of "recursive" hyperbolic functions based on the "Mathematics of Harmony," and the "golden," "silver," and other "metallic" proportions. Then, these theories are used to derive an original solution to Hilbert's Fourth Problem for hyperbolic and spherical geometries. On this journey, the book describes the "golden" qualitative theory of dynamical systems based on "metallic" proportions. Finally, it presents a solution to a Millennium Problem by developing the Fibonacci special theory of relativity as an original physical-mathematical solution for the fine-structure constant. It is intended for a wide audience who are interested in the history of mathematics, non-Euclidean geometry, Hilbert's mathematical problems, dynamical systems, and Millennium Problems.

Readership: Advanced undergraduate and graduate students in mathematics and theoretical physics, mathematicians and scientists of different specializations interested in history of mathematics and new mathematical ideas.

From the Inside Flap: This unique book overturns our ideas about non-Euclidean geometry and explains the role of the "golden ratio" in Euclid's Elements. It highlights a new view on Euclid's Elements and the history of mathematics based on Proclus' hypothesis. It describes a general theory of "recursive" hyperbolic functions based on the "golden," "silver," and other "metallic" proportions. The book contains an original solution of Hilbert's Fourth Problem for hyperbolic and spherical geometries, and puts forward a problem searching for new hyperbolic and spherical worlds of nature based on this solution. For the first time, the book describes the "golden" qualitative theory of dynamical systems based on the mathematics of harmony. It is intended for a wide range of readers, who are interested in the history of mathematics, non-Euclidean geometry, Hilbert's mathematical problems and dynamical systems.

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Alexey Stakhov, Samuil Aranson
Published by World Scientific Publishing Co Pte Ltd, Singapore (2016)
ISBN 10: 9814678295 ISBN 13: 9789814678292
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Book Description World Scientific Publishing Co Pte Ltd, Singapore, 2016. Hardback. Condition: New. Language: English . Brand New Book. This unique book overturns our ideas about non-Euclidean geometry and the fine-structure constant, and attempts to solve long-standing mathematical problems. It describes a general theory of recursive hyperbolic functions based on the Mathematics of Harmony, and the golden, silver, and other metallic proportions. Then, these theories are used to derive an original solution to Hilbert s Fourth Problem for hyperbolic and spherical geometries. On this journey, the book describes the golden qualitative theory of dynamical systems based on metallic proportions. Finally, it presents a solution to a Millennium Problem by developing the Fibonacci special theory of relativity as an original physical-mathematical solution for the fine-structure constant. It is intended for a wide audience who are interested in the history of mathematics, non-Euclidean geometry, Hilbert s mathematical problems, dynamical systems, and Millennium Problems.See Press Release: Application of the mathematics of harmony - Golden non-Euclidean geometry in modern math. Seller Inventory # AAC9789814678292

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Book Description World Scientific Publishing Co Pte Ltd. Hardback. Condition: new. BRAND NEW, The "Golden" Non-Euclidean Geometry: Recursive "Self-Similar" Hyperbolic Functions, Hilbert's Fourth Problem, and "Golden" Dynamical Systems, Alexey Stakhov, Samuil Aranson, This unique book overturns our ideas about non-Euclidean geometry and explains the role of the "golden ratio" in Euclid's Elements. It highlights a new view on Euclid's Elements and the history of mathematics based on Proclus' hypothesis. It describes a general theory of "recursive" hyperbolic functions based on the "golden," "silver," and other "metallic" proportions. The book contains an original solution of Hilbert's Fourth Problem for hyperbolic and spherical geometries, and puts forward a problem searching for new hyperbolic and spherical worlds of nature based on this solution. For the first time, the book describes the "golden" qualitative theory of dynamical systems based on the mathematics of harmony. It is intended for a wide range of readers, who are interested in the history of mathematics, non-Euclidean geometry, Hilbert's mathematical problems and dynamical systems. Seller Inventory # B9789814678292

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Alexey Stakhov, Samuil Aranson
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ISBN 10: 9814678295 ISBN 13: 9789814678292
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Book Description World Scientific Publishing Co Pte Ltd, Singapore, 2016. Hardback. Condition: New. Language: English . Brand New Book. This unique book overturns our ideas about non-Euclidean geometry and the fine-structure constant, and attempts to solve long-standing mathematical problems. It describes a general theory of recursive hyperbolic functions based on the Mathematics of Harmony, and the golden, silver, and other metallic proportions. Then, these theories are used to derive an original solution to Hilbert s Fourth Problem for hyperbolic and spherical geometries. On this journey, the book describes the golden qualitative theory of dynamical systems based on metallic proportions. Finally, it presents a solution to a Millennium Problem by developing the Fibonacci special theory of relativity as an original physical-mathematical solution for the fine-structure constant. It is intended for a wide audience who are interested in the history of mathematics, non-Euclidean geometry, Hilbert s mathematical problems, dynamical systems, and Millennium Problems.See Press Release: Application of the mathematics of harmony - Golden non-Euclidean geometry in modern math. Seller Inventory # AAC9789814678292

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Stakhov, Alexey (Intandapos;l Club Of The Golden Section, Canada and Academy Of Trinitarism, Russia)
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STAKHOV ALEXEY ET AL (author)
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Book Description World Scientific Pub Co Inc, 2016. Hardcover. Condition: Brand New. 284 pages. 9.25x6.25x1.00 inches. In Stock. Seller Inventory # x-9814678295

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