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Tensor Algebra and Tensor Analysis for Engineers : With Applications to Continuum Mechanics / by Mikhail Itskov.
Springer Nature - Springer Engineering eBooks 2019 English International Available online
View online- Format:
- Book
- Author/Creator:
- Itskov, Mikhail, author.
- Series:
- Engineering (Springer-11647)
- Mathematical engineering 2192-4732
- Mathematical Engineering, 2192-4732
- Language:
- English
- Subjects (All):
- Mechanics.
- Mechanics, Applied.
- Geometry, Differential.
- Matrices.
- Algebra.
- Solid Mechanics.
- Differential Geometry.
- Linear and Multilinear Algebras, Matrix Theory.
- Classical Mechanics.
- Local Subjects:
- Solid Mechanics.
- Differential Geometry.
- Linear and Multilinear Algebras, Matrix Theory.
- Classical Mechanics.
- Physical Description:
- 1 online resource (XIX, 300 pages) : 20 illustrations, 13 illustrations in color.
- Edition:
- Fifth edition 2019.
- Contained In:
- Springer eBooks
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2019.
- System Details:
- text file PDF
- Summary:
- This is the fifth and revised edition of a well-received textbook that aims at bridging the gap between the engineering course of tensor algebra on the one hand and the mathematical course of classical linear algebra on the other hand. In accordance with the contemporary way of scientific publication, a modern absolute tensor notation is preferred throughout. The book provides a comprehensible exposition of the fundamental mathematical concepts of tensor calculus and enriches the presented material with many illustrative examples. As such, this new edition also discusses such modern topics of solid mechanics as electro- and magnetoelasticity. In addition, the book also includes advanced chapters dealing with recent developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics. Hence, this textbook addresses graduate students as well as scientists working in this field and in particular dealing with multi-physical problems. In each chapter numerous exercises are included, allowing for self-study and intense practice. Solutions to the exercises are also provided.
- Contents:
- Vectors and Tensors in a Finite-Dimensional Space
- Vector and Tensor Analysis in Euclidean Space
- Curves and Surfaces in Three-Dimensional Euclidean Space
- Eigenvalue Problem and Spectral Decomposition of Second-Order Tensors
- Fourth-Order Tensors
- Analysis of Tensor Functions
- Analytic Tensor Functions
- Applications to Continuum Mechanics.
- Other Format:
- Printed edition:
- ISBN:
- 978-3-319-98806-1
- 9783319988061
- Access Restriction:
- Restricted for use by site license.
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