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

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 i...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Itskov, Mikhail (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2007.
Edición:1st ed. 2007.
Temas:
Acceso en línea:Texto Completo

MARC

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100 1 |a Itskov, Mikhail.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Tensor Algebra and Tensor Analysis for Engineers  |h [electronic resource] :  |b With Applications to Continuum Mechanics /  |c by Mikhail Itskov. 
250 |a 1st ed. 2007. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg :  |b Imprint: Springer,  |c 2007. 
300 |a XII, 244 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
505 0 |a 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. 
520 |a 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 is addressed primarily to engineering students with some initial knowledge of matrix algebra. Thereby the mathematical formalism is applied as far as it is absolutely necessary. Numerous exercises provided in the book are accompanied by solutions enabling an autonomous study. The last chapters of the book 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. . 
650 0 |a Engineering mathematics. 
650 0 |a Engineering-Data processing. 
650 0 |a Computational intelligence. 
650 0 |a Mechanics, Applied. 
650 0 |a Solids. 
650 0 |a Mathematical physics. 
650 0 |a Algebras, Linear. 
650 0 |a Mechanics. 
650 1 4 |a Mathematical and Computational Engineering Applications. 
650 2 4 |a Computational Intelligence. 
650 2 4 |a Solid Mechanics. 
650 2 4 |a Mathematical Methods in Physics. 
650 2 4 |a Linear Algebra. 
650 2 4 |a Classical Mechanics. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783540826477 
776 0 8 |i Printed edition:  |z 9783540360469 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-3-540-36047-6  |z Texto Completo 
912 |a ZDB-2-ENG 
912 |a ZDB-2-SXE 
950 |a Engineering (SpringerNature-11647) 
950 |a Engineering (R0) (SpringerNature-43712)