Designed to familiarize undergraduates with the methods of vector algebra and vector calculus, this text offers both a clear view of the abstract theory as well as a concise survey of the theory's applications to various branches of pure and applied mathematics. A brief chapter on 4-dimensional vectors concludes the text. 1957 edition. Unabridged republication of the ninth edition, originally published by Oliver and Boyd, Edinburgh, 1957.
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 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.
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 Differentiable Manifolds by Louis Auslander, Robert E. MacKenzie This text presents basic concepts in the modern approach to differential geometry. Topics include Euclidean spaces, submanifolds, and abstract manifolds; fundamental concepts of Lie theory; fiber bundles; and multilinear algebra. 1963 edition.
Elementary Vector Geometry by Seymour Schuster Appropriate for high school and college courses, this elementary text addresses the development of vector algebra as a mathematical tool and features applications to trigonometry and algebra. Exercises, solutions. 1962 edition.
