Vector and Tensor Analysis with Applications

... the exposition is clear and the choice of topics is excellent ... Prof. R. E. Williamson Univ. of Sussex Brighton England<br>This concise introduction to a basic branch of applied mathematics is indispensable to mathematicians physicists and engineers. Eminently readable it covers the elements of vector and tensor analysis with applications of the theory to specific physics and engineering problems. It lays particular stress on the applications of the theory to fluid dynamics.<br>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.<br>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.<br><i>Vector and Tensor Analysis With Applications</i> is one of a series of SELECTED RUSSIAN PUBLICATIONS IN THE MATHEMATICAL SCIENCES several of which have already been published by Dover. The authors are distinguished Russian mathematicians and specialists in gas dynamics and numerical analysis. Richard A. Silverman editor of the series as well as editor and translator of this volume has revised and improved the original edition and added a bibliography.<br> ... a concise clear and comprehensive treatment ... Prof. Henry G. Booker University of California San Diego