Download Ebook Vector and Tensor Analysis with Applications (Dover Books on Mathematics)

[PDF.OBTs] Vector and Tensor Analysis with Applications (Dover Books on Mathematics)

[PDF.OBTs] Vector and Tensor Analysis with Applications (Dover Books on Mathematics)

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Book Details :
Published on: 2012-08-28
Released on: 2012-07-31
Original language:

" … the exposition is clear and the choice of topics is excellent  …" Prof. R. E. Williamson, Univ. of Sussex, Brighton, EnglandThis 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.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.Vector and Tensor Analysis With Applications 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." … a concise, clear and comprehensive treatment  … " Prof. Henry G. Booker, University of California, San Diego International Journal of Engineering Research and ... International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research .. Best books for mathematical background? - Stack Exchange The last book I read on "background in math for physicists" was "Mathematics for Physics" by Stone and Goldbart and I enjoyed it quite a bit. Vector space - Wikipedia A vector space (also called a linear space) is a collection of objects called vectors which may be added together and multiplied ("scaled") by numbers called ... What are the prerequisites to studying general relativity? This question recently appeared on Slashdot: Slashdot posts a fair number of physics stories. Many of us myself included don't have the background to understand them. Mathematical Physics - Free E-Books Mathematical Physics - list of freely downloadable books at E-Books Directory Books in the Mathematical Sciences This site is intended as a resource for university students in the mathematical sciences. Books are recommended on the basis of readability and other pedagogical value. Tensor - Wikipedia For some mathematical applications a more abstract approach is sometimes useful. This can be achieved by defining tensors in terms of elements of tensor products of ... Mathematics textbooks online - Georgia Institute of Technology The writing of textbooks and making them freely available on the web is an idea whose time has arrived. Most college mathematics textbooks attempt to be all things to ... Mathematical Tools for Physics - Department of Physics Bibliography. Mathematical Methods for Physics and Engineering by Riley Hobson and Bence. Cambridge University Press For the quantity of well-written material here ... Tensor -- from Wolfram MathWorld REFERENCES: Abraham R.; Marsden J. E.; and Ratiu T. S. Manifolds Tensor Analysis and Applications 2nd ed. New York: Springer-Verlag 1991.
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