Classical Mechanics: Systems of Particles and Hamiltonian Dynamics (Paperback)

The series of texts on Classical Theoretical Physics is based on the highly successful series of courses given by Walter Greiner at the Johann Wolfgang Goethe University in Frankfurt am Main, Germany. Intended for advanced undergraduates and beginning graduate students, the volumes in the series provide not only a complete survey of classical theoretical physics but also an enormous number of worked examples and problems to show students clearly how to apply the abstract principles to realistic problems.

Written for:


Graduate students in physics, physicists

Table of contents

Part I. Newtonian mechanics in moving co-ordinate systems Chap 1. Newton's equations in a rotating co-ordinate system 2. Free fall on the rotating earth 3. Foucault's pendulum Part II. Chap 4. Degrees of Freedom 5. Centre of gravity 6. Mechanical fundamental quantities of systems of mass points Part III. Vibrating systems Chap 7. Vibrations of coupled mass points 8. The vibrating string 9. Fourier series 10. The vibrating membrane Part IV. Mehcanics of Rigid Bodies Chap 11. Rotation about fixed axis 12. Rotation about a point 13. Theory of the top Part V. Lagrange equations Chap 14. Generalised co-ordinates 15. D'Alembert principle and derivtion of the Lagrange equations 16. Lagrange equatins for non-holonomic constraints 17. Special problems (for deepening) Part VI. Hamilton Theory 18. Hamilton's equations 19. Canonical transformations 20. Hamilton-Jacobi theory Part VII. Nonlinear Dynamics Chap 21. Dynamical systems 22. Stability of time-dependent paths 23. Bifurcations 24. Lyapunov exponents and chaos 25. Systems with chaotic dynamics Part VIII From history of mechanics

《古典理論物理學系列》是基於沃爾特·格萊納在德國法蘭克福的約翰·沃爾夫岡·歌德大學所開設的一系列課程。該系列旨在為高年級本科生和初級研究生提供完整的古典理論物理學概述，並提供大量的實例和問題，以清楚地展示學生如何將抽象原理應用於現實問題。

本書適合物理學研究生和物理學家閱讀。

目錄：
第一部分：運動坐標系統中的牛頓力學
第二部分：自由度、重心和質點系統的機械基本量
第三部分：振動系統
第四部分：剛體力學
第五部分：拉格朗日方程
第六部分：哈密頓理論
第七部分：非線性動力學
第八部分：力學的歷史

該書提供了豐富的內容，涵蓋了古典理論物理學的各個方面，並通過大量的實例和問題幫助讀者理解如何將抽象原理應用於現實問題。