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Titlebook: A Course in Mathematical Physics 1 and 2; Classical Dynamical Walter Thirring Book 19922nd edition Springer-Verlag New York Inc. 1992 appl

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發(fā)表于 2025-3-21 16:40:34 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱A Course in Mathematical Physics 1 and 2
期刊簡(jiǎn)稱Classical Dynamical
影響因子2023Walter Thirring
視頻videohttp://file.papertrans.cn/141/140484/140484.mp4
學(xué)科分類Springer Study Edition
圖書(shū)封面Titlebook: A Course in Mathematical Physics 1 and 2; Classical Dynamical  Walter Thirring Book 19922nd edition Springer-Verlag New York Inc. 1992 appl
影響因子The last decade has seen a considerable renaissance in the realm of classical dynamical systems, and many things that may have appeared mathematically overly sophisticated at the time of the first appearance of this textbook have since become the everyday tools of working physicists. This new edition is intended to take this development into account. I have also tried to make the book more readable and to eradicate errors. Since the first edition already contained plenty of material for a one- semester course, new material was added only when some of the original could be dropped or simplified. Even so, it was necessary to expand the chap- ter with the proof of the K-A-M Theorem to make allowances for the cur- rent trend in physics. This involved not only the use of more refined mathe- matical tools, but also a reevaluation of the word "fundamental. " What was earlier dismissed as a grubby calculation is now seen as the consequence of a deep principle. Even Kepler‘s laws, which determine the radii of the planetary orbits, and which used to be passed over in silence as mystical nonsense, seem to point the way to a truth unattainable by superficial observation: The ratios of the radi
Pindex Book 19922nd edition
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沙發(fā)
發(fā)表于 2025-3-21 20:35:29 | 只看該作者
Deutsch-afrikanische Beziehungen 1996, depending on the state of knowledge at the time. We shall take his second law as our starting point: “Force equals mass times acceleration.” Letting x.(t) be the Cartesian coordinates of the i-th particle as a function of time, this means.where ., denotes the force on the .-th particle.
板凳
發(fā)表于 2025-3-22 01:13:26 | 只看該作者
Afrika 1998 — Das Jahr im überblickthe motion takes place in extended configuration space, which is a particular subset of ?.. We shall just concern ourselves with one-body problems, since even when there are only two bodies only special solutions are known if the interaction is relativistic—and therefore not instantaneous (cf. [12]).
地板
發(fā)表于 2025-3-22 06:57:50 | 只看該作者
https://doi.org/10.1007/978-3-322-91395-1rces. In contrast, magnetic fields . are always sourceless and circulate around currents and places where there is a time-dependent electric field. The dynamical interrelation of the two fields is described by Maxwell’s equations: If we consider empty space (no sources or currents), then in units where . = 1 they require that ..
5#
發(fā)表于 2025-3-22 08:53:27 | 只看該作者
Afrika 1999 — Das Jahr im überblick generalize the stationary-action principle (I:2.3.20) in order to find the analogues of the constants arising from the invariance properties. It is clear that in field theory the action ? . involves an integral over a four- dimensional submanifold .4, and thus requires a 4-form, which allows the construction of a chart-independent integral.
6#
發(fā)表于 2025-3-22 16:33:16 | 只看該作者
7#
發(fā)表于 2025-3-22 19:22:10 | 只看該作者
Book 19922nd edition overly sophisticated at the time of the first appearance of this textbook have since become the everyday tools of working physicists. This new edition is intended to take this development into account. I have also tried to make the book more readable and to eradicate errors. Since the first edition
8#
發(fā)表于 2025-3-22 23:04:43 | 只看該作者
Afrika 1996 — Das Jahr im überblickA function . from an open subset . of ?. into ?. is differentiable at a point . ε . if it may be approximated there with a linear mapping .: ?.?. We can make this notion more precise by requiring that for all ε > 0 there exists a neighborhood . of . such that..
9#
發(fā)表于 2025-3-23 03:44:18 | 只看該作者
Erl?uterungen zu den GrunddatenThe Lagrangian (2.3.23) defines a bijection ., and the corresponding local flow on . satisfies Hamilton’s equations. The flow has the special property of preserving the symplectic structure of ., which is determined by the canonical 2-form.
10#
發(fā)表于 2025-3-23 08:40:25 | 只看該作者
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