Vector and tensor analysis with applications
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Vector and tensor analysis with applications [by] A.I. Borisenko [and] I.E. Tarapov. Translated and edited by Richard A. Silverman. by Aleksandr Ivanovich Borisenko

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Published by Prentice-Hall in Englewood Cliffs, N.J .
Written in English

Subjects:

  • Vector analysis,
  • Calculus of tensors

Book details:

Edition Notes

Translation of Vektornyi analiz i nachala tenzornogo ischisleniia (romanized form) Bibliography: p. 251.

SeriesSelected Russian publications in the mathematical sciences
ContributionsTarapov, Ivan Evgen"evich, jt. author
The Physical Object
Paginationx, 257 p. illus. ;
Number of Pages257
ID Numbers
Open LibraryOL21776530M

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Mar 07,  · This is still a very good book for its intended audience. A good alternative is Neuenschwander’s Tensor Analysis for Physics; it is thoroughly modern and is better motivated than the present book. An oldie-but-goodie with much the same nature as the present book is G. E. Hay’s Vector and Tensor Analysis (Dover, ). It is not as thorough. In mathematics and physics, a tensor field assigns a tensor to each point of a mathematical space (typically a Euclidean space or manifold).Tensor fields are used in differential geometry, algebraic geometry, general relativity, in the analysis of stress and strain in materials, and in numerous applications in the physical sciences. As a tensor is a generalization of a scalar (a pure number. This book is a clear, concise, and self-contained treatment of tensors, tensor fields, and their applications. The book contains practically all the material on tensors needed for applications. It shows how this material is applied in mechanics, covering the foundations of the linear theories of . superscripts. Prior to our applying vector and tensor analysis to our research area of modern continuum mechanics, we almost had to relearn the subject. Therefore, one of our objectives in writing this book is to make available a modern introductory textbook suitable .

magnitude and direction both, called Vector. But certain quantities are associated with two or more directions, such a quantity is called Tensor. The stress at a point of an elastic solid is an example of a Tensor which depends on two directions one normal to the area and other that of the force on it. 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. Vector and Tensor Analysis with Applications book. Read reviews from world’s largest community for readers. Concise and readable, this text ranges from d /5. Aug 28,  · Vector and Tensor Analysis with Applications - Ebook written by A. I. Borisenko, I. E. Tarapov. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while 2/5(2).

Sep 26,  · Tensor and Vector Analysis: With Applications to Differential Geometry - Ebook written by C. E. Springer. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Tensor and Vector Analysis: With Applications to Differential Geometry.4/4(2). — Nature Here is a clear introduction to classic vector and tensor analysis for students of engineering and mathematical physics. Chapters range from elementary operations and applications of geometry, to application of vectors to mechanics, partial differentiation, integration, and tensor analysis. The Paperback of the Tensor and Vector Analysis: With Applications to Differential Geometry by C. E. Springer at Barnes & Noble. With Applications to Differential Geometry. by C. E. Springer the treatment examines loci in three-space, transformation of coordinates in space and differentiation, tensor algebra and analysis, and vector Brand: Dover Publications. May 01,  · This book is a clear, concise, and self-contained treatment of tensors, tensor fields, and their applications. The book contains practically all the material on tensors needed for applications. It shows how this material is applied in mechanics, covering the foundations of the linear theories of elasticity and elastic shells.