A course in abstract algebra

Cover......Page 1
Front Matter......Page 3
Foundations of ClassicalMechanics......Page 5
Copyright......Page 6
Dedication......Page 7
Contents......Page 9
Figures......Page 13
Figures......Page 25
Foreword......Page 27
Preface......Page 29
Introduction......Page 33
1 Laws of Mechanics and SymmetryPrinciples......Page 41
2 Mathematical Preliminaries......Page 63
3 Real Effects of Pseudo-forces:Description of Motion in AcceleratedFrame of Reference......Page 110
4 Small Oscillations and Wave Motion......Page 143
5 Damped and Driven Oscillations;Resonances......Page 188
6 The Variational Principle......Page 215
7 Angular Momentum andRigid Body Dynamics......Page 257
8 The Gravitational Interactionin Newtonian Mechanics......Page 299
9 Complex Behavior of Simple System......Page 338
10 Gradient Operator, Methods ofFluid Mechanics, and Electrodynamics......Page 379
11 Rudiments of Fluid Mechanics......Page 416
12 Basic Principles of Electrodynamics......Page 449
13 Introduction to the SpecialTheory of Relativity......Page 504
14 A Glimpse of the General Theory ofRelativity......Page 555
Index......Page 581