A Course in Applied Mathematics, Vol.1, 2

Front Cover......Page 1
Front Inside Cover......Page 2
Volume 1......Page 5
General Editor's Foreword......Page 7
Preface......Page 9
Contents......Page 13
Part I: Dynamics......Page 17
1. Kinematics of a Particle......Page 19
2. Newton's Law. Rectilinear Motion......Page 36
3. Cartesian and Intrinsic Resolutes of Acceleration......Page 71
4. Polar Resolutes of Acceleration......Page 101
5. Impulsive Motion of Particles......Page 134
6. Motion of a Particle System - I......Page 147
7. Kinematics of a Rigid Body. Moments of Inertia......Page 185
8. Motion of a Particle System - II......Page 207
9. Impulsive Motion of a Rigid Body......Page 242
10. Three-Dimensional Motion. Lagrange's Equations......Page 256
Part II: Statics......Page 285
11. Equilibrium and Equivalence of Force Systems......Page 287
12. Equilibrium of Strings and Chains......Page 312
13.  Deformation of Elastic Bodies......Page 325
Answers......Page 364
Index......Page 367
Volume 2......Page 373
General Editor's Foreword......Page 375
Preface......Page 377
Contents......Page 381
Part III: Field Theory......Page 385
14. Field Intensity and Potential......Page 387
15. Gauss's Theorem. Poisson's Equation. Images......Page 433
16. Polarized Media......Page 477
17. Steady Electric Currents......Page 504
18. Electro-magnetism......Page 523
Appendix A to Part III: Units......Page 579
Appendix B to Part III: Physical Significance of the Fundamental Vectors......Page 585
Part IV: Hydromechanics......Page 587
19. Hydrostatics......Page 589
20. One-Dimensional Motion of an Ideal Fluid......Page 607
21. General Motion of a Fluid......Page 645
Answers......Page 682
Index......Page 685