Geometric Perturbation Theory in Physics |
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Author:
| Omohundro, Stephen M. |
Editor:
| Omohundro, S. M. |
ISBN: | 978-981-4503-15-0 |
Publication Date: | Oct 1986 |
Publisher: | World Scientific Publishing Co Pte Ltd
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Book Format: | Digital (delivered electronically) |
List Price: | USD $163.00 |
Book Description:
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This book which focusses on mechanics, waves and statistics, describes recent developments in the application of differential geometry, particularly symplectic geometry, to the foundations of broad areas of physics. Throughout the book, intuitive descriptions and diagrams are used to elucidate the mathematical theory. It develops a coordinate-free framework for perturbation theory and uses this to show how underlying symplectic structures arise from physical asymptotes. It describes a...
More DescriptionThis book which focusses on mechanics, waves and statistics, describes recent developments in the application of differential geometry, particularly symplectic geometry, to the foundations of broad areas of physics. Throughout the book, intuitive descriptions and diagrams are used to elucidate the mathematical theory. It develops a coordinate-free framework for perturbation theory and uses this to show how underlying symplectic structures arise from physical asymptotes. It describes a remarkable parity between classical mechanics which arises asymptotically from quantum mechanics and classical thermodynamics which arises asymptotically from statistical mechanics. Included here is a section with one hundred unanswered questions for further research.