经典力学讲义

Preface

Lecture 1 Introduction, Kinematics

Lecture 2 Various Coordinate Systems, Coordinate Transformation

Lecture 3 Newton's Laws of Motion

Lecture 4 Work and Energy, Conservative Force Field

Lecture 5 Inertial and Non-Inertial Reference System, Galileo Principle of Relativity

Lecture 6 Integration of Equations of Motion ( I )

Lecture 7 Integration of Equations of Motion ( II ) :Velocity-Dependent Force

Lecture 8 Integration of Equation of Motion ( III ) : Position-Dependent Force

Lecture 9 Analytical Mechanics

Lecture 10 Lagrangian Equation

Lecture 11 Variational Principles of Mechanics

Lecture 12 Symmetry and Conservation Law

Lecture 13 Lagrangian Undetermined Multipliers

Lecture 14 Hamiltonian Equations of Motion

Lecture 15 Canonical Transformation, Hamilton-Jacobi Equation

Lecture 16 Poisson Bracket, Phase Space and Liouville's Theorem

Lecture 17 Motion in Central Force Field

Lecture 18 Effective Potential and General Solutions

Lecture 19 Inverse Square Law of Force

Lecture 20 Stability of Orbits and Perturbations N

Lecture 21 Applications of Central Force Motion

Lecture 22 Scattering Problem

Lecture 23 Force Law and Scattering Cross Section

Lecture 24 Motion in Non-Inertial System

Lecture 25 Applications of Non-Inertial System

Lecture 26 Free Harmonic Oscillation

Lecture 27 Damped Harmonic Oscillation

Lecture 28 Forced Oscillation

Lecture 29 Harmonic Oscillators in Two and Three Dimensions

Lecture 30 Generalizations and Applications of Linear Oscillation Theory

Lecture 31 Concept of Nonlinear Oscillation

Lecture 32 Solutions of Nonlinear Oscillation (Ⅰ)

Lecture 33 Solutions of Nonlinear Oscillation (Ⅱ)

Lecture 34 Chaotic Oscillations

Lecture 35 Two Coupled Oscillators and Their Normal Coordinates

Lecture 36 General Theory of Small Oscillation (Ⅰ)

Lecture 37 General Theory of Small Oscillation (Ⅱ)

Lecture 38 Vibration of Molecule, Energy Dissipation and Absorption

Lecture 39 Vibration in Continuous Medium: Wave

Lecture 40 Propagation and Energy of Wave, Longitudinal Wave

Lecture 41 Description of Rigid Body Motion

Lecture 42 Principal Axes Transformation and Inertia Ellipsoid

Lecture 43 Euler's Equation of Motion, Symmetrical Top

Lecture 44 Fluid

《理工科核心课程双语规划教材：经典力学讲义》精选经典力学的基本内容，按课堂教学顺序组织成44讲，内容包括坐标系、质点力学、分析力学、有心力场中的运动、非惯性系中的运动、非线性振动、波的传播、刚体力学和流体力学等。各讲内容均衡、简练，公式推导详细，附思考问题，突出重点，减轻阅读困难。
本书重点解决课堂教学的“程序化”（将科学体系变为讲授的时序）问题，可直接用作教师教案，组织课堂讲授；在适当增加内容之后，《理工科核心课程双语规划教材：经典力学讲义》可作为普通大学本科或师范院校物理系经典力学课程的教材；本书还可作为参考阅读资料，帮助提高科技英语水平。