This is a comprehensive and self-contained text suitable for use by undergraduate mathematics, science and engineering students. Vectors are introduced in terms of cartesian components, making the concepts of gradient, divergent and curl particularly simple. The text is supported by copious examples and progress can be checked by completing the many problems at the end of each section. Answers are provided at the back of the book.

chapter 2|34 pages

Scalar and vector algebra

chapter 4|58 pages

Scalar and vector fields

chapter 5|48 pages

Line, surface and volume integrals

chapter 6|30 pages

Integral theorems

chapter 7|19 pages

Applications In Potential Theory

chapter 8|21 pages

Cartesian tensors