經(jīng)典數(shù)學(xué)物理

內(nèi)容概要

這一版本是早期Thirring的兩卷經(jīng)典物理學(xué)——經(jīng)典動力系統(tǒng)和經(jīng)典場論的結(jié)合，無數(shù)事例和言論以及隨同文字,很適合作為物理、數(shù)學(xué)、與應(yīng)用數(shù)學(xué)專業(yè)學(xué)生的教科書。 　　經(jīng)典動力系統(tǒng)的是通過對流形的分析來提供數(shù)學(xué)工具，討論哈密頓系統(tǒng)典型變換、常數(shù)議案、攝動理論、粒子的非相對論運(yùn)動、電磁場和引力場中的相對論運(yùn)動,而且這些問題討論地相當(dāng)詳細(xì)。經(jīng)典場論始終是用微分幾何的語言來講述的，麥克斯韋和愛因斯坦方程部分緊湊而清晰，初學(xué)者很容易理解。該書還收錄了已知電荷分布的電磁場和導(dǎo)體中的電磁場，探討了愛因斯坦方程的最大對稱空間和最大對稱子流形空間的解。最后將所得的結(jié)論運(yùn)用于恒星的生命和死亡作為本卷書的結(jié)束。 　　本書為全英文版。

作者簡介

作者：(德國)瑟林

書籍目錄

Preface to the Third EditionPreface to the Second Edition: Classical Dynamical SystemsPreface to the Second Edition: Classical Field TheoryPreface to the First EditionNote About the TranslationGlossarySymbols Defined in the TextPart I  Classical Dynamical Systems  1  Introduction    1.1  Equations of Motion    1.2  The Mathematical Language    1.3  The Physical Interpretation.  2  Analysis on Manifolds    2.1  Manifolds    2.2 Tangent Spaces    2.3  Flows    2.4  Tensors    2.5  Differentiation    2.6  Integrals  3  Hamiltonian Systems    3.1  Canonical Transformations    3.2  Hamilton's Equations    3.3  Constants of Motion    3.4  The Limit t-t-oo    3.5  Perturbation Theory: Preliminaries    3.6  Perturbation Theory: The Iteration  4  Nonrelativistic Motion    4.1  Free Particles    4.2  The Two-Body Problem    4.3  The Problem of Two Centers of Force    4.4  The Restricted Three-Body Problem    4.5  The N-Body Problem  5  Relativistic Motion    5.1  The Hamiltonian Formulation of the Electrodynamic Equations of Motion    5.2  The Constant Field    5.3  The Coulomb Field    5.4  The Betatron    5.5  The Traveling Plane Disturbance    5.6  Relativistic Motion in a Gravitational Field    5.7  Motion in the Schwarzschild Field    5.8  Motion in a Gravitational Plane Wave  6  The Structure of Space and Time    6.1  The Homogeneous Universe    6.2  The Isotropic Universe    6.3  Me According to Galileo    6.4  Me as Minkowski Space    6.5  Me as a Pseudo-Riemannian SpacePart II  Classical Field Theory  7  Introduction to Classical Field Theory    7.1  Physical Aspects of Field Dynamics    7.2  The Mathematical Formalism    7.3  Maxwell's and Einstein's Equations  8  The Electromagnetic Field of a Known Charge Distribution  9  The Field in the Presence of Conductors  10  GravitationBibliographyIndex

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