Classical Dynamics of Particles and Systems

✍ Scribed by Jerry B. Marion (Auth.)

• Publisher: Academic Press
• Year: 1965
• Tongue: English
• Leaves: 582
• Category: Library

✦ Synopsis

This best-selling classical mechanics text, written for the advanced undergraduate one- or two-semester course, provides a complete account of the classical mechanics of particles, systems of particles, and rigid bodies. Vector calculus is used extensively to explore topics.The Lagrangian formulation of mechanics is introduced early to show its powerful problem solving ability.. Modern notation and terminology are used throughout in support of the text's objective: to facilitate students' transition to advanced physics and the mathematical formalism needed for the quantum theory of physics. CLASSICAL DYNAMICS OF PARTICLES AND SYSTEMS can easily be used for a one- or two-semester course, depending on the instructor's choice of topics

✦ Table of Contents

Content:
Front Matter, Page iii
Copyright, Page iv
Preface, Pages v-vii
Inside Front Cover, Page vii
CHAPTER I - Matrices and Vectors, Pages 1-31
CHAPTER 2 - Vector Calculus, Pages 32-55
CHAPTER 3 - Fundamentals of Newtonian Mechanics, Pages 56-94
CHAPTER 4 - The Special Theory of Relativity, Pages 95-114
CHAPTER 5 - Gravitational Attraction and Potentials, Pages 115-127
CHAPTER 6 - Oscillatory Motion, Pages 128-168
CHAPTER 7 - Nonlinear Oscillations, Pages 169-195
CHAPTER 8 - Some Methods in the Calculus of Variations, Pages 196-213
CHAPTER 9 - Hamilton's Principle—Lagrangian and Hamiltonian Dynamics, Pages 214-266
CHAPTER 10 - Central-Force Motion, Pages 267-314
CHAPTER 11 - Kinematics of Two-Particle Collisions, Pages 315-341
CHAPTER 12 - Motion in a Noninertial Reference Frame, Pages 342-360
CHAPTER 13 - Dynamics of Rigid Bodies, Pages 361-415
CHAPTER 14 - Systems with Many Degrees of Freedom—Small Oscillations and Normal Coordinates, Pages 416-477
CHAPTER 15 - The Wave Equation in One Dimension, Pages 478-521
Solutions, Hints, and References for Selected Problems, Pages 522-526
APPENDIX A - Taylor's Theorem, Pages 527-530
APPENDIX B - Complex Numbers, Pages 531-536
APPENDIX C - Ordinary Differential Equations of Second Order, Pages 537-545
APPENDIX D - Useful Formulas, Pages 546-549
APPENDIX E - Useful Integrals, Pages 550-553
APPENDIX F - Differential Relations in Curvilinear Coordinate Systems, Pages 554-557
APPENDIX G - A “Proof” of the Relation , Pages 558-559
SELECTED REFERENCES, Page 560
BIBLIOGRAPHY, Pages 561-566
Index, Pages 567-576