# Book:D.E. Bourne/Vector Analysis

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## D.E. Bourne and P.C. Kendall: Vector Analysis

Published $1967$, Oldbourne.

### 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