Book:D.E. Bourne/Vector Analysis

Subject Matter

 * Vector Algebra

Contents

 * Preface (July 1966)


 * Chapter 1 Regular Cartesian Coordinates and Rotation of Axes


 * Chapter 2 Scalar and Vector Algebra


 * Chapter 3 Vector Functions of a Real Variable. Differential Geometry of Curves


 * Chapter 4 Scalar and Vector Fields


 * Chapter 5 Line, Surface and Volume Integrals


 * Chapter 6 Integral Theorems


 * Chapter 7 Applications


 * Appendix 1 Determinants


 * Appendix 2 The chain rule for Jacobians


 * Appendix 3 Expressions for grad, div, curl, and $\nabla^2$ in cylindrical and spherical polar coordinates


 * Answers to Exercises


 * Index