Classical and Relativistic Mechanics

David Agmon, Paul Gluck;;;

• Publisher: WSPC
• Year: 2009
• ISBN:
  9789813101173
• Topic: Ciencias físicas
• Subtopic: Física matemática y computacional

This book provides a calculus-based perspective on classical mechanics and the theory of relativity. Unlike most conventional textbooks, the discussion on theory is pared down to a minimum in favor of detailed, guided solutions of problems illustrating salient points, subtleties and principles. By working through the 900 carefully selected problems, the serious learner will hence be stimulated, challenged and enlightened. Great emphasis is placed on the pedagogical value of solving problems in a number of ways, on the careful and detailed analysis of problems, on dimensional considerations, and on basic principles underlying every topic treated.

The book is aimed at first-year undergraduate students in physics and engineering. Advanced Placement students in high schools will also find this book rewarding and challenging. Instructors too will be able to recharge their batteries and refresh their reservoir of problems for recitation classes, or delve into it for their own amusement and edification.

Table of contents

• Contents
• Preface
• Chapter 1 Trigonometry, Vectors, Units and Dimensions
• Chapter 2 Kinematics
• Chapter 3 Relative Motion and Frames of Reference
• Chapter 4 Statics
• Chapter 5 Dynamics
• Chapter 6 Work and Energy
• Chapter 7 Circular Motion
• Chapter 8 Harmonic Motion
• Chapter 9 Momentum and Impulse
• Chapter 10 Gravitation and Central Force Problems
• Chapter 11 Rotational Dynamics and Angular Momentum
• Chapter 12 The Special Theory of Relativity — Kinematics
• Chapter 13 The Special Theory of Relativity — Dynamics
• Answers
• Appendix A The Compton Effect
• Appendix B Table of Physical Constants
• Appendix C Conservative Fields and the Gradient
• Appendix D Useful Approximations
• Appendix E Solutions of Differential Equations
• Appendix F Similarity, Scaling and the Virial Theorem
• Appendix G The Kepler Problem of Planetary Orbits
• Appendix H Motion of Charged Particles in Magnetic Fields
• Appendix I Problems of Minimum and Maximum
• Appendix J The Brachistochrone
• Appendix K Symmetry and Conservation Laws
• Appendix L On Chaotic Systems
• Appendix M Galilean Transformation and Selection Rules
• Bibliography
• Index