Vector And Tensor Analysis

by G.E. Hay

The authors begin with a definition of vectors and a discussion of algebraic operations on vectors. The vector concept is then generalized in a natural way, leading to the concept of a tensor. Chapter Three considers algebraic operations on tensors. Next, the authors turn to a systematic study of the differential and integral calculus of vector and tensor functions of space and time. Finally, vector and tensor analysis is considered from both a rudimentary standpoint, and in its fuller ramifications, concluding the volume. The strength of the book lies in the completely worked out problems and solutions at the end of each chapter. In addition, each chapter incorporates abundant exercise material. Intended primarily for advanced undergraduates and graduate students of math, physics and engineering, the work is self-contained and accessible to any student with a good background in calculus.

Genres: Mathematics, Textbooks

Hardcover

First published June 1, 1979

Reviews

[Michael Granquist · Rating 4 out of 5]

This is the best introduction to vector analysis that I have come across. Minimal mathematical knowledge is required to follow the contents and attain a functional understanding of the theory and applications of this important branch of mathematics.