An Introduction To Linear Algebra And Tensors
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An Introduction to Linear Algebra and Tensors
Eminently readable, completely elementary treatment begins with linear spaces and ends with analytic geometry, covering multilinear forms, tensors, linear transformation, and more. 250 problems, most with hints and answers. 1972 edition.
Tensor Algebra and Tensor Analysis for Engineers
Author: Mikhail Itskov
language: en
Publisher: Springer Science & Business Media
Release Date: 2007-05-04
There is a large gap between engineering courses in tensor algebra on one hand, and the treatment of linear transformations within classical linear algebra on the other. This book addresses primarily engineering students with some initial knowledge of matrix algebra. Thereby, mathematical formalism is applied as far as it is absolutely necessary. Numerous exercises provided in the book are accompanied by solutions enabling autonomous study. The last chapters deal with modern developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics and might therefore be of high interest for PhD-students and scientists working in this area.
Manifolds, Tensors and Forms
Comprehensive treatment of the essentials of modern differential geometry and topology for graduate students in mathematics and the physical sciences.