Beginning with a consideration of coordinate transformations and mappings the treatment examines loci in three space transformation of coordinates in space and differentiation tensor algebra and analysis and vector analysis and algebra. Assuming only a knowledge of basic calculus this text presents an elementary and gradual development of tensor theory from this treatment the traditional material of courses on vector analysis is deduced as a particular case in addition the book forms an introduction to metric differential geometry 1962 edition. 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. This broad introduction to vector and tensor analysis is designed for the advanced undergraduate or graduate student in mathematics physics and engineering as well as for the practicing engineer or physicist who needs a theoretical understanding of these essential mathematical tools. Tensor and vector analysis with applications to buy tensor and vector analysis with applications to differential geometry dover books on mathematics on amazoncom free shipping on qualified orders
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