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  • Tensorsby Anadi Jiban Das

    Springer 2007; US$ 139.00

    This book emerged from courses taught at the University College of Dublin, Carnegie-Mellon University and mostly at Simon Fraser University. This is a modern introduction to the theory of tensor algebra and tensor analysis. It discusses tensor algebra in Chapters 1 and 2. Differential manifold is introduced in Chapter 3. Tensor analysis, differential forms, connection forms, and curvature tensor are discussed in Chapter 4. Chapters 5, 6 and 7 investigate in great detail Riemannian and pseudo-Riemannian manifolds. Throughout the book, examples and problems are furnished from the theory of relativity and continuum mechanics. The extensive presentation of mathematical tools, examples and problems make this book a unique text for the pursuit of... more...

  • Tensors and their Applicationsby Nazrul Islam

    New Age International Pvt. Ltd., Publishers 2006; US$ 40.00

    About the Book: The book is written is in easy-to-read style with corresponding examples. The main aim of this book is to precisely explain the fundamentals of Tensors and their applications to Mechanics, Elasticity, Theory of Relativity, Electromagnetic, Riemannian Geometry and many other disciplines of science and engineering, in a lucid manner. The text has been explained section wise, every concept has been narrated in the form of definition, examples and questions related to the concept taught. The overall package of the book is highly useful and interesting for the people associated with the field. Contents: Preliminaries Tensor Algebra Metric Tensor and Riemannian Metric Christoffel`s Symbols and Covariant Differentiation... more...

  • Tensor Spaces and Numerical Tensor Calculusby Wolfgang Hackbusch

    Springer 2012; US$ 149.00

    Special numerical techniques are already needed to deal with nxn matrices for large n. Tensor data are of size nxnx ...xn=n^d, where n^d exceeds the computer memory by far. They appear for problems of high spatial dimensions. Since standard methods fail, a particular tensor calculus is needed to treat such problems. The monograph describes the methods how tensors can be practically treated and how numerical operations can be performed. Applications are problems from quantum chemistry, approximation of multivariate functions, solution of pde, e.g., with stochastic coefficients, etc. more...

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