Describes orthgonal and related Lie groups, using real or complex parameters and indefinite metrics. Develops theory of spinors by giving a purely geometric definition of these mathematical entities. Covers generalities on the group of rotations in n-dimensional space, the theory of spinors in spaces of any number of dimensions and much more.
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.
Vector and Tensor Analysis with Applications by A. I. Borisenko, I. E. Tarapov This text explores the concept of tensor and algebraic operations on tensors. Also includes a study of the differential and integral calculus of vector and tensor functions of space and time, more. Problems with solutions.
Introduction to Vectors and Tensors: Second Edition--Two Volumes Bound as One by Ray M. Bowen, C.-C. Wang Convenient single-volume compilation of two texts offers both introduction and in-depth survey. Geared toward engineering and science students rather than mathematicians, it focuses on physics and engineering applications. 1976 edition.
Cartesian Tensors: An Introduction by G. Temple This undergraduate-level text provides an introduction to isotropic tensors and spinor analysis, with numerous examples that illustrate the general theory and indicate certain extensions and applications. 1960 edition.
Matrix Vector Analysis by Richard L. Eisenman This outstanding text and reference for upper-level undergraduates features extensive problems and solutions in its application of matrix ideas to vector methods for a synthesis of pure and applied mathematics. 1963 edition. Includes 121 figures.
