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Titlebook: Dynamical Systems IV; Symplectic Geometry V. I. Arnol’d,S. P. Novikov Book 19901st edition Springer-Verlag Berlin Heidelberg 1990 contact

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發(fā)表于 2025-3-21 20:09:17 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Dynamical Systems IV
副標(biāo)題Symplectic Geometry
編輯V. I. Arnol’d,S. P. Novikov
視頻videohttp://file.papertrans.cn/284/283867/283867.mp4
叢書名稱Encyclopaedia of Mathematical Sciences
圖書封面Titlebook: Dynamical Systems IV; Symplectic Geometry  V. I. Arnol’d,S. P. Novikov Book 19901st edition Springer-Verlag Berlin Heidelberg 1990 contact
描述This book takes a snapshot of the mathematical foundations of classical and quantum mechanics from a contemporary mathematical viewpoint. It covers a number of important recent developments in dynamical systems and mathematical physics and places them in the framework of the more classical approaches; the presentation is enhanced by many illustrative examples concerning topics which have been of especial interest to workers in the field, and by sketches of the proofs of the major results. The comprehensive bibliographies are designed to permit the interested reader to retrace the major stages in the development of the field if he wishes. Not so much a detailed textbook for plodding students, this volume, like the others in the series, is intended to lead researchers in other fields and advanced students quickly to an understanding of the ‘state of the art‘ in this area of mathematics. As such it will serve both as a basic reference work on important areas of mathematical physics as they stand today, and as a good starting point for further, more detailed study for people new to this field.
出版日期Book 19901st edition
關(guān)鍵詞contact geometry; dynamical systems; manifold; mathematical physics; symplectic geometry
版次1
doihttps://doi.org/10.1007/978-3-662-06793-2
isbn_ebook978-3-662-06793-2Series ISSN 0938-0396
issn_series 0938-0396
copyrightSpringer-Verlag Berlin Heidelberg 1990
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沙發(fā)
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Messmethoden der thermischen Analyse,es entering into the theory. Symplectic geometry simplifies and makes perceptible the frightening formal apparatus of Hamiltonian dynamics and the calculus of variations in the same way that the ordinary geometry of linear spaces reduces cumbersome coordinate computations to a small number of simple basic principles.
板凳
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Messmethoden der thermischen Analyse,undamental methods of mathematical physics were based essentially on the perturbation-theory analysis of the simplest integrable examples, ideas about the structure of nontrivial integrable systems did not exert any real influence on the development of physics.
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Geometric Quantization,The word “quantization” is used both in physical und in mathematical works in many different senses. In recent times this has come to be reflected explicitly in the terminology: the terms “asymptotic”, “deformational”, “geometric” quantization, etc., have emerged.
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