This convenient single-volume compilation of two texts offers both an introduction and an in-depth survey. Geared toward engineering and science students rather than mathematicians, its less rigorous treatment focuses on physics and engineering applications. A practical reference for professionals, it is suitable for advanced undergraduate and graduate students. 1976 edition. Revised and expanded second edition of the work originally published by Plenum Press, New York, 1976 edition.
Vectors, Tensors and the Basic Equations of Fluid Mechanics by Rutherford Aris Introductory text for engineers, physicists, and applied mathematicians applies the mathematics of Cartesian and general tensors to physical field theories. Advanced undergraduate-graduate level. Exercises. Appendixes.
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.
