Vector and Tensor Analysis with Applications by A. I. Borisenko, I. E. Tarapov, Richard A. Silverman

Vector and Tensor Analysis with Applications



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Vector and Tensor Analysis with Applications A. I. Borisenko, I. E. Tarapov, Richard A. Silverman ebook
ISBN: 0486638332, 9780486638331
Page: 266
Format: djvu
Publisher: Dover Publications


It is very grossly a generalization Thus, scalars are rank zero tensors (no indices at all), and vectors are rank one tensors. Tensor Analysis – Fundamentals and Applications List Price: $149.95 List Price: $149.95 Your Price: – This book is intended to be an introduction to tensors for anyone who has had differential and integral calculus. This way of viewing tensors, called tensor analysis, was used by Einstein and is generally prefered by physicists. Python Data Analysis Library - http://pandas.pydata.org/ - pandas is a library providing high-performance, easy-to-use data structures and data analysis tools for the Python . Vectors, Tensors and the Basic Equations of Fluid Mechanics. The Parallel Factors (PARAFAC) decomposition is one of many tensors techniques and it has many applications in chemometrics, psychometrics and more recently in signal processing. Is an element of the tensor product of modules over. Multi-way Analysis: Applications in the Chemical Sciences. Vector and Tensor Analysis with Applications, (translated by R. It should be understandable to upper-class college students in the The ritual abracadabra of conventional vector and tensor courses is replaced by discussions with logical and intuitive appeal. We need to understand some A N-way tensor $\mathcal{ X}^{I_1 \times I_2 \times \ldots \times I_N}$ is rank one if it can be decomposed as the outer product of $N$ vectors. It is also necessary to distinguish Finally, it must be mentioned that most physical and geometric applications are concerned with tensor fields, that is to say tensor valued functions, rather than tensors themselves. -tensor is also called a covariant tensor and a rank. $\mathcal{X} = a^{(1)} Rasmus Bro, Paul Geladi. -tensor a contravariant tensor.

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