力学-第4版

力学-第4版

作者:(德)弗洛里舍克(Florian.S.)著

出版社:世界图书出版公司

出版年:2009-05-01

评分:5分

ISBN:9787510004490

所属分类:自然科学

书刊介绍

力学-第4版 内容简介

《力学(第4版)》是弗洛里舍克编著的,Purpose and Emphasis. Mechanics not only is the oldest branch of physics but was and still is the basis for all of theoretical physics. Quantum mechanics can hardly be understood, perhaps cannot even be formulated, without a good knowl- edge of general mechanics.

力学-第4版 本书特色

The Purpose and Emphasis.Mechanics not only is the oldest branch of physics but was and still is the basis for all of theoretical physics.Quantum mechanics can hardly be understood,perhaps cannot even be formulated,without a good knowl-edge of general mechanics.

力学-第4版 目录

1.Elementary Newtonian Mechanics
1.1Newton's Laws (1687) and Their Interpretation
1.2Uniform Rectilinear Motion and Inertial Systems
1.3Inertial Frames in Relative Motion
1.4Momentum and Force
1.5Typical Forces. A Remark About Units
1.6Space, Time, and Forces
1.7The Two-Body System with Internal Forces
1.7.1Center-of-Mass and Relative Motion
1.7.2Example: The Gravitational Force Between Two Celestial Bodies (Kepler's Problem)
1.7.3Center-of-Mass and Relative Momentum in the Two-Body System
1.8Systems of Finitely Many Particles
1.9The Principle of Center-of-Mass Motion
1.10The Principle of Angular-Momentum Conservation
1.11The Principle of Energy Conservation
1.12The Closed n-Particle System
1.13Galilei Transformations
1.14Space and Time with Galilei Invariance
1.15Conservative Force Fields
I.16One-Dimensional Motion of a Point Particle
1.17Examples of Motion in One Dimension
1.17.1The Harmonic Oscillator
1.17.2The Planar Mathematical Pendulum
1.18Phase Space for the n-Particle System (in R3)
1.19Existence and Uniqueness of the Solutions of x = .F(x, t)
1.20Physical Consequences of the Existence and Uniqueness Theorem
1.21Linear Systems
1.21.1Linear, Homogeneous Systems
1.21.2Linear, Inhomogeneous Systems
1.22Integrating One-Dimensional Equations of Motion
1.23Example: The Planar Pendulum for Arbitrary Deviations from the Vertical
1.24Example: The Two-Body System with a Central Force
1.25Rotating Reference Systems: Coriolis and Centrifugal Forces
1.26Examples of Rotating Reference Systems
1.27Scattering of Two Particles that Interact via a Central Force: Kinematics
1.28Two-Particle Scattering with a Central Force: Dynamics
1.29Example: Coulomb Scattering of Two Panicles with Equal Mass and Charge
1.30Mechanical Bodies of Finite Extension
1.31Time Averages and the Viriai Theorem
Appendix: Practical Examples
2.The Principles of Canonical Mechanics
2.1Constraints and Generalized Coordinates
2.1.1Definition of Constraints
2.1.2Generalized Coordinates
2.2D'Alembert's Principle
2.2.1Definition of Virtual Displacements
2.2.2The Static Case
2.2.3The Dynamical Case
2.3Lagrange's Equations
2.4Examples of the Use of Lagrange's Equations
2.5A Digression on Variational Principles
2.6Hamilton's Variational Principle (1834)
2.7The Euler-Lagrange Equations
2.8Further Examples of the Use of Lagrange's Equations
2.9A Remark About Nonuniqueness of the Lagrangian Function
2.10Gauge Transformations of the Lagrangian Function
2.11Admissible Transformations of the Generalized Coordinates
2.12The Hamiltonian Function and Its Relationto the Lagrangian Function L
2.13The Legendre Transformation for the Case of One Variable
2.14The Legendre Transformation for the Case of Several Variables
2.15Canonical Systems
2.16Examples of Canonical Systems
2.17The Variational Principle Applied to the Hamiltonian Function
2.18Symmetries and Conservation Laws
2.19Noether's Theorem
2.20The Generator for Infinitesimal Rotations About an Axis
2.21More About the Rotation Group
2.22Infinitesimal Rotations and Their Generators
2.23Canonical Transformations
2.24Examples of Canonical Transformations
2.25The Structure of the Canonical Equations
2.26Example: Linear Autonomous Systems in One Dimension
……
3.The Mechanics of Rigid Bodies
4.Relativistic Mechanics
5.Geometric Aspects of Mechanics
6.Stability and Chaos
7.Continuous Systems
Exercises
Solution of Exercises
Author Index
Subject Index

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