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Modern approach to classical mechanics / Harald Iro.

By: Publication details: Singapore : World Scientific, ©2016.Edition: 2nd edDescription: xii, 515 p. : illustrations ; 24 cmISBN:
  • 9789814704113
Subject(s): DDC classification:
  • 531 23 Ir71
Contents:
1. Basic considerations and concepts -- 2. Foundations of classical mechanics -- 3. One-dimensional motion of a particle -- 4. Peculiar motion in two dimensions -- 5. Motion in a central force field -- 6. Gravitational interaction of two bodies -- 7. Collisions of particles. Scattering -- 8. Changing the frame of reference -- 9. Lagrangian mechanics -- 10. Conservation laws and symmetries in many particle systems -- 11. The rigid body -- 12. Small oscillations -- 13. Hamilton's mechanics -- 14. Hamilton-Jacobi theory -- 15. Three-body systems -- 16. Approximating non-integrable systems -- Appendix.
Summary: In this book we describe the evolution of Classical Mechanics from Newton's laws via Lagrange's and Hamilton's theories with strong emphasis on integrability versus chaotic behavior.
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Includes bibliographical references and index.

1. Basic considerations and concepts --
2. Foundations of classical mechanics --
3. One-dimensional motion of a particle --
4. Peculiar motion in two dimensions --
5. Motion in a central force field --
6. Gravitational interaction of two bodies --
7. Collisions of particles. Scattering --
8. Changing the frame of reference --
9. Lagrangian mechanics --
10. Conservation laws and symmetries in many particle systems --
11. The rigid body --
12. Small oscillations --
13. Hamilton's mechanics --
14. Hamilton-Jacobi theory --
15. Three-body systems --
16. Approximating non-integrable systems --
Appendix.

In this book we describe the evolution of Classical Mechanics from Newton's laws via Lagrange's and Hamilton's theories with strong emphasis on integrability versus chaotic behavior.

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