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廣義相對(duì)論與牛頓引力理論基礎(chǔ)

廣義相對(duì)論與牛頓引力理論基礎(chǔ)

定 價(jià):¥59.00

作 者: 大衛(wèi)·B·馬爾門(mén)特
出版社: 世界圖書(shū)出版公司
叢編項(xiàng):
標(biāo) 簽: 暫缺

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ISBN: 9787519266431 出版時(shí)間: 2019-09-01 包裝:
開(kāi)本: 頁(yè)數(shù): 字?jǐn)?shù):  

內(nèi)容簡(jiǎn)介

  在《廣義相對(duì)論與牛頓引力理論基礎(chǔ)》中,作者介紹了廣義相對(duì)論的基本邏輯數(shù)學(xué)結(jié)構(gòu),并討論廣義相對(duì)論的基礎(chǔ)及其與牛頓引力理論的關(guān)系,比如牛頓理論的幾何化(也稱(chēng)為牛頓-卡坦理論)、廣義相對(duì)論中的旋轉(zhuǎn)概念和哥德?tīng)枙r(shí)空等。此書(shū)不僅適合數(shù)學(xué)物理的學(xué)生與研究者閱讀,對(duì)科學(xué)哲學(xué)的研究人員也有很大價(jià)值。本書(shū)獲得了2014年拉卡托斯獎(jiǎng)。 \n

作者簡(jiǎn)介

  大衛(wèi)·馬爾門(mén)特(David B. Malament)是美國(guó)加州大學(xué)歐文分校的教授,對(duì)科學(xué)哲學(xué)有深入的研究,他著的《廣義相對(duì)論與牛頓引力理論基礎(chǔ)》獲得了2014年拉卡托斯獎(jiǎng)。

圖書(shū)目錄

Chapter 1. Differential Geometry

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1.1 Manifolds

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1.2 Tangent Vectors

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1.3 Vector Fields, Integral Curves, and Flows

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1.4 Tensors and Tensor Fields on Manifolds

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1.5 The Action of Smooth Maps on Tensor Fields

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1.6 Lie Derivatives

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1.7 Derivative Operators and Geodesics

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1.8 Curvature

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1.9 Metrics

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1.10 Hypersurfaces

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1.11 Volume Elements

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Chapter 2. Classical Relativity Theory

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2.1 Relativistic Spacetimes

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2.2 Temporal Orientation and "Causal Connectibility"

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2.3 Proper Time

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2.4 Space/Time Decomposition at a Point and Particle Dynamics

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2.5 The Energy-Momentum Field Tab

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2.6 Electromagnetic Fields

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2.7 Einsteins Equation

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2.8 Fluid Flow

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2.9 Killing Fields and Conserved Quantities

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2.10 The Initial Value Formulation

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2.11 Friedmann Spacetimes

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Chapter 3. Special Topics

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3.1 Gödel Spacetime

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3.2 Two Criteria of Orbital (Non-)Rotation

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3.3 A No-Go Theorem about Orbital (Non-)Rotation

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Chapter 4. Newtonian Gravitation Theory

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4.1 Classical Spacetimes

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4.2 Geometrized Newtonian Theory—First Version

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4.3 Interpreting the Curvature Conditions

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4.4 A Solution to an Old Problem about Newtonian Cosmology

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4.5 Geometrized Newtonian Theory—Second Version

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