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  • Springer大学数学图书?狭义相对论(影印版)[平装]
  • 共2个商家     24.80元~29.70
  • 作者:伍德豪斯(N.M.J.Woodhouse)(作者)
  • 出版社:清华大学出版社;第1版(2009年11月1日)
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  • ISBN:9787302214878

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    《狭义相对论》:与一般物理学教科书相比,《狭义相对论》的最大特点是它的完备性和严格性,并且不涉及过深的数学。《狭义相对论》自成体系,作者给出了所有主要定律的完整推导(部分数学关系式放在附录中),因此任何具有较扎实的本科线性代数和微积分知识的学生都可以读懂此书。
    《狭义相对论》的观点和对问题的诠释是严肃的,作者对物理学定律的数学推导相当严格和相当自然。它有助于读者消除著名物理学家维格纳提出的所谓“数学为什么这样无道理地有效”的迷惑。此外作者从数学上给出的一般性也十分有助于读者理解近代发展起来的高等物理学体系。
    书中体现的物理与数学的有机结合生动诠释了伽利略的名言:“大自然是一部用数学语言写成的巨著”。不仅如此,《狭义相对论》作者还通过对线性代数、微积分、场论等数学知识的运用进一步强调并贯穿这样的观点:数学的真谛和发展存在并产生于物理或自然规律及其发现中。精读此书将有助于理解物理学和数学之间的整体关系。

    作者简介

    作者:(美国)伍德豪斯(N.M.J.Woodhouse)

    目录

    1. Relativity in Classical Mechanics
    1.1 Frames of Reference
    1.2 Relativity
    1.3 Frames of Reference
    1.4 Newton's Laws
    1.5 Galilean Transformations
    1.6 Mass, Energy, and Momentum
    1.7 Space-time
    1.8 *Galilean Symmetries
    1.9 Historical Note

    2. Maxwell's Theory
    2.1 Introduction
    2.2 The Unification of Electricity and Magnetism
    2.3 Charges, Fields, and the Lorentz Force Law
    2.4 Stationary Distributions of Charge
    2.5 The Divergence of the Magnetic Field
    2.6 Inconsistency with Galilean Relativity
    2.7 The Limits of Galilean Invariance
    2.8 Faraday's Law of Induction
    2.9 The Field of Charges in Uniform Motion
    2.10 Maxwell's Equations
    2.11 The Continuity Equation
    2.12 Conservation of Charge
    2.13 Historical Note

    3. The Propagation of Light
    3.1 The Displacement Current
    3.2 The Source-free Equations
    3.3 The Wave Equation
    3.4 Monochromatic Plane Waves
    3.5 Polarization
    3.6 Potentials
    3.7 Gauge Transformations
    3.8 Photons
    3.9 Relativity and the Propagation of Light
    3.10 The Michelson-Morley Experiment

    4. Einstein's Special Theory of Relativity
    4.1 Lorentz's Contraction
    4.2 Operational Definitions of Distance and Time
    4.3 The Relativity of Simultaneity
    4.4 Bondi's k-Factor
    4.5 Time Dilation
    4.6 The Two-dimensional Lorentz Transformation
    4.7 Transformation of Velocity
    4.8 The Lorentz Contraction
    4.9 Composition of Lorentz Transformations
    4.10 Rapidity
    4.11 *The Lorentz and Poincare Groups

    5. Lorentz Transformations in Four Dimensions
    5.1 Coordinates in Four Dimensions
    5.2 Four-dimensional Coordinate Transformations
    5.3 The Lorentz Transformation in Four Dimensions
    5.4 The Standard Lorentz Transformation
    5.5 The General Lorentz Transformation
    5.6 Euclidean Space and Minkowski Space
    5.7 Four-vectors
    5.8 Temporal and Spatial Parts
    5.9 The Inner Product
    5.10 Classification of Four-vectors
    5.11 Causal Structure of Minkowski Space
    5.12 Invariant Operators
    5.13 The Frequency Four-vector
    5.14 *Affine Spaces and Covectors

    6. Relative Motion
    6.1 Transformations between Frames
    6.2 Proper Time
    6.3 Four-velocity
    6.4 Four-acceleration
    6.5 Constant Acceleration
    6.6 Continuous Distributions
    6.7 *Rigid Body Motion
    6.8 Visual Observation

    7. Relativistic Collisions
    7.1 The Operational Definition of Mass
    7.2 Conservation of Four-momentum
    7.3 Equivalence of Mass and Energy

    8. Relativistic Electrodynamics
    8.1 Lorenz Transformations of E and B
    8.2 The Four-Current and the Four-potential
    8.3 Transformations of E and B
    8.4 Linearly Polarized Plane Waves
    8.5 Electromagnetic Energy
    8.6 The Four-momentum of a Photon
    8.7 *Advanced and Retarded Solutions

    9. *Tensors and Isometrics
    9.1 Affine Space
    9.2 The Lorenz Group
    9.3 Tensors
    9.4 The Tensor Product
    9.5 Tensors in Murkowski Space
    9.6 Tensor Components
    9.7 Examples of Tensors
    9.8 One-parameter Subgroups
    9.9 Isometrics
    9.10 The Riemann Sphere and Spinners
    Notes on Exercises
    Vector Calculus
    Bibliography
    Index

    序言

    在学校教书多年,当学生(特别是本科生)问有什么好的参考书时,我们所能推荐的似乎除了教材还是教材,而且不同教材之间的差别并不明显、特色也不鲜明。所以多年前我们就开始酝酿,希望为本科学生引进一些好的参考书,为此清华大学数学科学系的许多教授与清华大学出版社共同付出了很多心血。
    这里首批推出的十余本图书,是从Springer出版社的多个系列丛书中精心挑选出来的。在丛书的筹划过程中,我们挑选图书最重要的标准并不是完美,而是有特色并包容各个学派(有些书甚至有争议,比如从数学上看也许不够严格),其出发点是希望我们的学生能够吸纳百家之长;同时,在价格方面,我们也做了很多工作,以使得本系列丛书的价格能让更多学校和学生接受,使得更多学生能够从中受益。
    本系列图书按其定位,大体有如下四种类型(一本书可以属于多类,但这里限于篇幅不能一一介绍)。

    文摘

    插图:


    1.2 Relativity
    The principle of relativity emerges from thinking about another freedom in the choice of frame——its motion. We are used to taking the earth as defining a standard of rest and to building into our intuition about the behavior of mechanical systems the notion that the frame of reference is fixed; that is that it is fixed relative to the earth. This is reasonable in the context of terrestrial problems; but it has to be set aside, sometimes in a way that is quite hard to picture, in problems that involve motion over large distances. The rotation of the earth, for example, can be discounted in laboratory experiments, although its effects can just be observed in the behavior of Foucault's pendulum. It is not ignorable in the large-scale behavior of the weather (it causes air to circulate in an anti-clockwise direction around a region of low pressure in the Northern hemisphere); and it would be an unnecessary handicap to insist on working in a frame fixed to the earth in predicting the trajectory of a comet or planetary probe.
    The idea that we are also free to choose the motion of the frame predates the formulation of the laws of motion. It is put very clearly in Galileo's Dialogue concerning the two chief world systems [3].