Preface

Introduction

1. Vector Algebra

2. Kinematics

3. Dynamics of a Particle

4. Vector Field Theory

5. Newtonian Gravitation

6. Electricity and Magnetism

7. Fluid Dynamics

8. Classical Dynamics

9. Fourier Series, Fourier and Laplace Transforms

10. Integral Equations

11. Wave Motion

12. Heat Conduction

13. Tensor Analysis

14. Theory of Relativity

15. Quantum Theory

16. Variational Principles

Bibliography

Index

The ability to solve problems in applied mathematics depends upon understanding concepts rather than memorizing formulas or rote learning. This volume bridges the gap between lectures and practical applications, offering students of mathematics, engineering, and physics the chance to practice solving problems from a wide variety of fields.
The two-part treatment begins with chapters on vector algebra, kinematics, dynamics of a particle, vector field theory, Newtonian gravitation, electricity and magnetism, fluid dynamics, and classical dynamics. The second part examines Fourier series and Fourier and Laplace transforms, integral equations, wave motion, heat conduction, tensor analysis, special and general relativity, quantum theory, and variational principles. The final chapter contains problems associated with many of the preceding chapters and expresses them in terms of the calculus of variations.