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

Itskov, Mikhail

ISBN 10: 3642101038 / ISBN 13: 9783642101038

Edité par Springer, 2010

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Détails bibliographiques

• Titre: Tensor Algebra and Tensor Analysis for Engineers: With Applications to Continuum Mechanics
• Éditeur: Springer
• Date de parution: 2010
• Langue: anglais
• ISBN à 10 chiffres: 3642101038
• ISBN à 13 chiffres: 9783642101038
• Reliure: Couverture souple
• Édition: 2ème Édition
• État de l'article: New

A propos de ce titre

Synopsis

There is a gap between engineering courses in tensor algebra, and the treatment of linear transformations within classical linear algebra. This book addresses primarily engineering students with some initial knowledge of matrix algebra. Thereby, mathematical formalism is applied as absolutely necessary. The many exercises provided include solutions, enabling autonomous study. The last chapters address modern developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics and might therefore interest PhD-students and scientists working in this area.

In recent decades, the absolute notation for tensors has become widely accepted and is now state-of-the-art for publications in solid and structural mechanics. This is opposed to a majority of books on tensor calculus referring to index notation. The latter one complicates the understanding of the matter especially for readers with initial knowledge. This is a modern textbook on tensor calculus for engineers in line with contemporary scientific publications.

Présentation de l'éditeur

Ideal for engineering students with some knowledge of matrix algebra, this text bridges the gap between tensor algebra and the treatment of linear transformations in classical linear algebra. This revised second edition has additional examples and exercises.