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Vector and Tensor Analysis with Applications

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Definition of vectors and discussion of algebraic operations on vectors leads to concept of tensor and algebraic operations on tensors. Also, systematic study of the differential and integral calculus of vector and tensor functions of space and time, more. Concise, eminently readable text. Worked out problems, solutions.

The present book is a freely revised and restyled version of the third edition of the Russian original (Moscow, 1966). As in other volumes of this series, I have not hesitated to introduce a number of pedagogical and mathematical improvements that occurred to me in the course of doing the translation. I have also added a brief Bibliography, confined to books in English dealing with approximately the same topics, at about the same level.

In their prefaces to the three Russian editions, the authors acknowledge the help of the following colleagues: Professors Y. P. Blank, V. L. German, G. I. Drinfeld, A. D. Myshkis, N. I. Akhiezer, P. K. Rashevsky, V. A. Marchenko and N. V. Yefimov.

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