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    • 经典力学(点粒子和相对论)(英文版)
      • 作者:(德)W.格雷纳
      • 出版社:世界图书出版公司
      • ISBN:9787519248611
      • 出版日期:2018/09/01
      • 页数:488
    • 售价:63.6
  • 内容大纲

        德国著名理论物理学家W.Griner(W.格雷纳)等教授撰写的12卷集“理论物理学教科书”,是一套内容完整实用面向大学生和硕士研究生的现代物理学教材,各卷内容独立完整。它以系统的、统一的、连贯的方式阐述了现代理论物理学的各个方面。
        《经典力学(点粒子和相对论)(英文版)》为该丛书之一,内容包括:向量计算;牛顿力学;相对论。
  • 作者介绍

  • 目录

    Foreword
    Preface
    I  VECTOR CALCULUS
      1  Introduction and Basic Definitions
      2  The Scalar Product
      3  Component Representation of a Vector
      4  The Vector Product (Axial Vector)
      5  The Triple Scalar Product
      6  Application of Vector Calculus
        Application in mathematics:
        Application in physics:
      7  Differentiation and Integration of Vectors
      8  The Moving Trihedral (Accompanying Dreibein)--the Frenet Formulas
        Examples on Frenet's formulas:
      9  Surfaces in Space
      10  Coordinate Frames
      11  Vector Differential Operations
        The operations gradient, divergence, and curl (rotation)
        Differential operators in arbitrary general (curvilinear) coordinates
      12  Determination of Line Integrals
      13  The Integral Laws of Gauss and Stokes
        Gauss Law:
        The Gauss theorem:
        Geometric interpretation of the Gauss theorem:
        Stokes law:
      14  Calculation of Surface Integrals
      15  Volume (Space) Integrals
    II  NEWTONIAN MECHANICS
      16  Newton's Axioms
      17  Basic Concepts of Mechanics
        Inertial systems
        Measurement of masses
        Work
        Kinetic energy
        Conservative forces
        Potential
        Energy law
        Equivalence of impulse of force and momentum change
        Angular momentum and torque
        Conservation law of angular momentum
        Law of conservation of the linear momentum
        Summary
        The law of areas
        Conservation of orientation
      18  The General Linear Motion
      19  The Free Fall
        Vertical throw
        Inclined throw
      20  Friction
        Friction phenomena in a viscous medium

        Motion in a viscous medium with Newtonian friction
        Generalized ansatz for friction:
      21  The Harmonic Oscillator
      22  Mathematical Interlude--Series Expansion, Euler's Formulas
      23  The Damped Harmonic Oscillator
      24  The Pendulum
      25  Mathematical Interlude: Differential Equations
      26  Planetary Motions
      27  Special Problems in Central Fields
        The gravitational field of extended bodies
        The attractive force of a spherical mass shell
        The gravitational potential of a spherical shell covered with mass
        Stability of circular orbits
      28  The Earth and our Solar System
        General notions of astronomy
        Determination of astronomic quantities
        Properties, position, and evolution of the solar system
        World views
        On the evolution of the universe
        Dark Matter
        What is the nature of the dark matter?
    III  THEORY OF RELATIVITY
      29  Relativity Principle and Michelson-Morley Experiment
        The Michelson-Morley experiment
      30  The LorentzTransformation
        Rotation of a three-dimensional coordinate frame
        The Minkowski space
        Group property of the Lorentz transformation
      31  Properties of the Lorentz transformation
        Time dilatation
        Lorentz-Fitzgerald length contraction
        Note on the invisibility of the Lorentz-Fitzgerald length contraction
        The visible appearance of quickly moving bodies
        Optical appearance of a quickly moving cube
        Optical appearance of bodies moving with almost the speed of light
        Light intensity distribution of a moving isotropic emitter
        Doppler shift of quickly moving bodies
        Relativistic space-time structure--space-time events
        Relativistic past, present, future
        The causality principle
        The Lorentz transformation in the two-dimensional subspace of the Minkowski
        space
      32  Addition Theorem of the Velocities
        Supervelocity of light, phase, and group velocity
      33  The Basic Quantities of Mechanics in Minkowski Space
        Lorentz scalars
        Four-velocity in Minkowski space
        Momentum in Minkowski space
        Minkowski force (four-force)
        Kinetic energy

        The Tachyon hypothesis
        Derivation of the energy law in the Minkowski space
        The fourth momentum component
        Conservation of momentum and energy for a free particle
        Relativistic energy for free particles
        Examples on the equivalence of mass and energy
      34  Applications of the Special Theory of Relativity
        The elastic collision
        Compton scattering
        The inelastic collision
        Decay of an unstable particle
    Index

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