Foundations of Classical Mechanics
Cambridge University Press, 12/12/2019
EAN 9781108480567, ISBN10: 110848056X
Hardcover, 450 pages, 24.9 x 19.6 x 3.3 cm
Language: English
Originally published in English
Written in easily accessible language, the book provides a modern perspective of classical mechanics. Mathematical rigour is intertwined with lucid narration that will generate confidence in students to assimilate and apply fundamental principles of physics. The commonalities and differences of Newton's, Lagrange's and Hamilton's equations are explained in detail. Free, damped, driven oscillators and resonances are analysed systematically. The text extensively covers concepts of fluid mechanics, special theory of relativity, general theory of relativity and Lorentz transformations. The theories of gravitational field, fractals and chaos, Maxwell's laws of electrodynamics, and Einstein's theory of relativity are expanded from the first principle. The text is supported by practice problem sets to help students check their understanding of the concepts.
List of figures
List of tables
Foreword
Preface
Introduction
1. Laws of mechanics and symmetry principles
2. Mathematical preliminaries
3. Real effects of pseudo-forces
description of motion in accelerated frame of reference
4. Small oscillations and wave motion
5. Damped and driven oscillations
Resonances
6. The variational principle
7. Angular momentum and rigid body dynamics
8. The gravitational interaction in Newtonian mechanics
9. Complex behavior of simple system
10. Gradient operator, methods of fluid mechanics, and electrodynamics
11. Rudiments of fluid mechanics
12. Basic principles of electrodynamics
13. Introduction to special theory of relativity
14. A glimpse of the general theory of relativity
Index.