质点和刚体分析动力学专论
全新正版，可开票。
￥ 56 7.1折 ￥ 79 全新
库存11件
四川成都
认证卖家担保交易快速发货售后保障
作者惠特克
出版社世界图书出版公司
ISBN9787510026973
出版时间2017-01
装帧其他
开本其他
定价79元
货号9787510026973
上书时间2025-01-07
商品详情
- 品相描述：全新
- 商品描述
-
作者简介
惠特克,E.T.，是英国有名数学家,他的名著《质点和刚体分析动力学专论》目次包括：动力学初步；运动方程；积分理论；质点动力学解决方法；刚体的动力学说明；刚体动力学解决方法；振动理论；非完整系统和耗能系统；很小作用量和很小曲率原理；Hamilton系统和积分不变量；动力学转变理论；动力学系统的积分问题；三种刚体问题的化简；Bruns和Poincare定理；一般轨道理论；级数积分。
目录
Foreword by Sir William McCrea, FRS
Preface to the fourth edition
CHAPTER I KINEMAT[CA L PRELIMINARIES
SECTION
I. The displacements of rigid bodies
2. Euler's theorem on rotations about a point
3. The theorem of Rodrigues and HamiJton.
4. The coloposition of equal and opposite rotations about parallel axes
5. Chasles' theorem on the most general displacement of a rigid body.
6. Halphen's theorem on the composition of two general displacements
7. Analytic representation of a displacement
8. The composition of small rotations.
9. Euler's parametric specification of rotations round a point
10. The Eulcrian angles.
11. Connexion of the Eulorian angles with the parameters $1n,$~,x
12. The connexion of rotations with homographies: the Cayley-Klein paramctcrs
13. Voctors
14. Volocity and acceleration ; their vectorial character.
15. Angular velocity ; its vectorial character.
16. Determination of the components of angular velocity of a system in terms of
the Eulerian angles, and of the symmetrical parameters
17. Time-flux of a vector whose components relative to moving axes are given
18. Special resolutions of the velocity and acceleration.
MISCELLANEOUS EXAMPLES
CHAPTER II THE EQUATIONS OF MOTION
19. The ideas of rest and motion
20. The laws which determine motion
21. Force
22. Work
23. Foroes which do no work.
24. The coordinates of a dynamical system
25. Holonomic and noa-holonomic systems
CHAPTER III PRINCIPLES AVAILABLE FOR THE INTEGRATION
CHAPTER IV THE SOLUBLE PROBLEMS OF PARTICLE DYNAMICS
CHAPTER V THE DYNAMICAL SPECIFICATION OF BODIES
CHAPTER VI THE SOLUBLE PROBLEMS OF RIGID DYNAMICS
CHAPTER VII THEORY OF VIBRATIONS
CHAPTER VIII NON-HOLONOMIC SYSTEMS DISSIPATIVE SYSTEMS
CHAPTER IX THE PRINCIPLES OF LEAST ACTION AND LEAST CURVATURE
CHATPER X HAMILTONIAN SYSTEMS AND THEIR INTEGRAL-INVARIANTS
CHAPTER XI THE TRANSFORMATION THEORY OF DYNAMICS
CHAPTER XII PROPERTIES OF THE INTEGRALS OF DYNAMICAL SYSTEMS
CHAPTER XIII THE REDUCTION OF THE PROBLEM OF THREE BODIES
CHAPTER XIV THE THEOREMS OF BRUNS AND POINCARE
CHAPTER XV THE GENERAL THEORY OF ORBITS
CHAPTER XVI INTEGRATION BY SERIES
内容摘要
随着现在计算资源的进步，经典粒子方面的计算问题能够利用数值计算得以解决。惠特克著的《质点和刚体分析动力学专论(第4版)(英文版)》就介绍了这方面的相关理论，也总结了该领域的一些经典结果。本书的前八章是对拉格朗日动力学的一个非常详尽的介绍。第八章和第九章是对本书提到的三种物质的简单介绍。本书读者对象：理论物理领域研究粒子和刚体解析动力学理论的科技工作者。
相关推荐
— 没有更多了 —
以下为对购买帮助不大的评价