Classical mechanics
著者
書誌事項
Classical mechanics
Longman, 1996
4th ed
- : pbk
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注記
Includes bibliographical references (p. 339) and index
内容説明・目次
内容説明
Now includes two new chapters on the qualitative geometrical features of dynamical systems, and on the distinction between regular and chaotic motion. The book assumes some prior acquaintance with the elementary concepts, but begins with a review of these first principles. Needed results on vectors are summarized in an appendix. Those features of classical mechanics, which are of importance in other branches of physics, particularly the conservation laws and symmetries, are highlighted.
目次
1. Introduction. 2. Linear motion. 3. Energy and angular momentum. 4. Central conservative forces. 5. Rotating frames. 6. Potential theory. 7. The two-body problem. 8. Many-body systems. 9. Rigid bodies. 10. Lagrangian mechanics. 11. Small oscillations and normal modes. 12. Hamiltonian mechanics. 13. Dynamical systems and their geometry. 14. Order and chaos in Hamiltonian systems. Appendix A: Vectors. Appendix.B: Conics. Appendix C: Phase plane analysis near critical points.
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