Tensor Algebra and Tensor Analysis for Engineers With Applications to Continuum Mechanics /

• Main Author: Itskov, Mikhail (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Edition: 4th ed. 2015.
• Series: Mathematical Engineering,
• Subjects: Engineering.; Matrix theory.; Algebra.; Differential geometry.; Mechanics.; Continuum mechanics.; Continuum Mechanics and Mechanics of Materials.; Differential Geometry.; Linear and Multilinear Algebras, Matrix Theory.

This is the fourth and revised edition of a well-received book that aims at bridging the gap between the engineering course of tensor algebra on the one side and the mathematical course of classical linear algebra on the other side. In accordance with the contemporary way of scientific publications,...

Table of 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.