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

Itskov, Mikhail:

ISBN 10: 3540360468 / ISBN 13: 9783540360469

Editore: Springer 13.02.2007., 2007

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256 Seiten Ausgetragenes Bibliotheksexemplar, Deckel berieben, Buchrücken am oberen und unteren Rand angeplatzt, Seiten mit Markierungen/Vermerken B16-01-05J Sprache: Englisch Gewicht in Gramm: 554 8° 15,9 x 1,9 x 23,5 cm, Gebundene Ausgabe.

Codice articolo 1850575

Dati bibliografici

• Titolo: Tensor Algebra and Tensor Analysis for Engineers: With Applications to Continuum Mechanics
• Editore: Springer 13.02.2007.
• Data di pubblicazione: 2007
• Lingua: Inglese
• ISBN 10: 3540360468
• ISBN 13: 9783540360469
• Rilegatura: Rilegato
• Condizione: Befriedigend
• Peso: 554 grammi
• Cataloghi dei venditori:
  • Mathematik

Descrizione articolo

Riassunto

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 the book 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 an 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. In the last decades, the absolute notation for tensors has become widely accepted and is now a current 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. Thus, this book aims at being a modern textbook on tensor calculus for engineers in line with the contemporary way of scientific publications.

Dalla quarta di copertina

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.