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

• Κύριος συγγραφέας: Itskov, Mikhail (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Έκδοση: 3rd ed. 2013.
• Σειρά: Mathematical Engineering,
• Θέματα: Engineering.; Matrix theory.; Algebra.; Differential geometry.; Mechanics.; Continuum mechanics.; Continuum Mechanics and Mechanics of Materials.; Differential Geometry.; Linear and Multilinear Algebras, Matrix Theory.

There is a large gap between the engineering course in tensor algebra on the one hand and the treatment of linear transformations within classical linear algebra on the other hand. The aim of this modern textbook is to bridge this gap by means of the consequent and fundamental exposition. The book p...

Πίνακας περιεχομένων:

• 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.