导语
内容提要
马红玉主编的《理论力学(普通高等学校双语教学规划教材)(英文版)》精选理论力学的基本内容,主要内容包括质点运动学、质点动力学、质点组力学、刚体力学、分析力学以及有心力的应用等。本书内容简练,公式推导详细,重点突出。
本书可作为高等学校物理类专业的教材,也可作为其他相关专业的参考书目,还可作为学习科技英语的参考书。
目录
Introduction
Chapter 1 Kinematics of Particles
1.1 Description of the particle motion
l.2 Representation of velocity and acceleration in components
Questions
Chapter 2 Dynamics of Particles
2.1 Basic laws of dynamics
2.2 Work and energy
2.3 Equation of motion
2.4 Velocity-dependent equation of motion
2.5 Position-dependent equation of motion
2.6 Inertial and non-inertial reference system, Galileo principle of relativity
2.7 Fundamental laws and conservation laws
Questions
Chapter 3 Mechanics of the particle group
3.1 Particle group
3.2 Theorem of momentum and conservation of momentum
3.3 Theorem of angular momentum and conservation of angular momentum
3.4 Theorem of kinetic energy and conservation of energy
3.5 Two-body problem
3.6 Center of mass coordinate and laboratory coordinate
3.7 Motion of the variable mass
Questions
Chapter 4 Mechanics of rigid body
4.1 Description of the rigid body motion
4.2 Vector of angular velocity
4.3 Euler angles
4.4 Motion equation of the rigid body
4.5 Principal axes transformation and inertia ellipsoid
4.6 Euler's equation of motion and symmetrical top
4.7 Motion in non-inertia system
4.8 Application of non-inertia system
Questions
Chapter 5 Analytical mechanics
5.1 Generalized coordinates and generalized force
5.2 Lagrangian equation
5.3 Variational principles of mechanics
5.4 Symmetry and conservation law
5.5 Lagrangian undetermined multiplies
5.6 Hamiltonian equations of motion
5.7 Canonical transformation, Hamilton-Jacobi equation
5.8 Poisson bracket, phase space and Liouville's theorem
Questions
Chapter 6 Central Force
6.1 Motion in central force field
6.2 Effective potential and general solutions
6.3 Inverse square law of force
6.4 Stability of orbits and perturbation
6.5 Motion of central force
Questions
Bibliography