This text illustrates the use of vectors as a mathematical tool in plane synthetic geometry, plane and spherical trigonometry, and analytic geometry of 2- and 3-dimensional space. Its rigorous development includes a complete treatment of the algebra of vectors. Most of the theorems include proofs, and coordinate position vectors receive an in-depth treatment. 1966 edition. Republication of the New Jersey, 1966 edition.
Here's a sample of other books in this Dover category
About Vectors by Banesh Hoffmann No calculus needed, but this is not an elementary book. Introduces vectors, algebraic notation and basic ideas, vector algebra and scalars. Includes 386 exercises.
Introduction to Vector and Tensor Analysis by Robert C. Wrede Examines general Cartesian coordinates, the cross product, Einstein's special theory of relativity, bases in general coordinate systems, maxima and minima of functions of 2 variables, line integrals, integral theorems, more.
