Classical Mechanics

Forsideomslag
Jones & Bartlett Publishers, 2009 - 500 sider
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This book presents an updated treatment of the dynamics of particles and particle systems suitable for students preparing for advanced study of physics and closely related fields, such as astronomy and the applied engineering sciences. Compared to older books on this subject, the mathematical treatment has been updated for the study of more advanced topics in quantum mechanics, statistical mechanics, and nonlinear and orbital mechanics. The text begins with a review of the principles of classical Newtonian dynamics of particles and particle systems and proceeds to show how these principles are modified and extended by developments in the field. The text ends with the unification of space and time given by the Special Theory of Relativity. In addition, Hamiltonian dynamics and the concept of phase space are introduced early on. This allows integration of the concepts of chaos and other nonlinear effects into the main flow of the text. The role of symmetries and the underlying geometric structure of space-time is a key theme. In the latter chapters, the connection between classical and quantum mechanics is examined in some detail.
 

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Indhold

Chapter 1 Review of Newtonian Particle Mechanics
1
Chapter 2 Vector Spaces and Coordinate Systems
57
Chapter 3 Lagrangian and Hamiltonian Dynamics
105
Chapter 4 Hamiltons Principle
147
Chapter 5 Central Force Motion
183
Chapter 6 Small Oscillations
231
Chapter 7 Rotational Geometry and Kinematics
273
Chapter 8 Rigid Body Motion
323
Chapter 10 HamiltonJacobi Theory
415
Chapter 11 Special Relativity
451
Chapter 12 Waves Particles and Fields
509
Appendix A International System of Units and Conversion Factors
545
Appendix B Physical Constants and Solar System Data
553
Appendix C Geometric Algebras in N Dimensions
557
References
561
Index
567

Chapter 9 Canonical Transformation Theory
367

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Almindelige termer og sætninger

Om forfatteren (2009)

William and Mary College

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