Classic Vector Algebra

Vector algebra is a working tool for anyone in physics, engineering, or mathematics. Classical Vector Algebra is designed as groundwork before other courses on vectors, and it follows the structure and precision of advanced mathematics texts.

The book first surveys vectors in general three-dimensional Euclidean space. It then concentrates on vectors in three-dimensional Cartesian space, where they are simpler to picture and their operations are more straightforward, and which is needed for the study of vector analysis. The same material also helps readers build an intuitive grasp of abstract vector spaces with any number of dimensions.

The author treats formal elements such as definitions, theorems, proofs, corollaries, and examples as essential to mathematical reasoning, so introductory material can still be rigorous. The content sits between easy and difficult and offers a serious account of the mathematics students need to become competent in their fields. Hundreds of examples and exercises accompany the detailed theory.