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

Itskov, Mikhail

Hardcover

ISBN 10: 3540360468 ISBN 13: 9783540360469

Verlag: Springer, 2007

Inhaltsangabe

Like many other textbooks the present one is based on a lecture course given by the author for master students of the RWTH Aachen University. In spite of a somewhat di?cult matter those students were able to endure and, as far as I know, are still ?ne. I wish the same for the reader of the book. Although the present book can be referred to as a textbook one ?nds only little plain text inside. I tried to explain the matter in a brief way, nevert- lessgoinginto detailwherenecessary.Ialsoavoidedtediousintroductions and lengthy remarks about the signi?cance of one topic or another. A reader - terested in tensor algebra and tensor analysis but preferring, however, words instead of equations can close this book immediately after having read the preface. The reader is assumed to be familiar with the basics of matrix algebra and continuum mechanics and is encouraged to solve at least some of num- ous exercises accompanying every chapter. Having read many other texts on mathematics and mechanics I was always upset vainly looking for solutions to the exercises which seemed to be most interesting for me. For this reason, all the exercises here are supplied with solutions amounting a substantial part of the book. Without doubt, this part facilitates a deeper understanding of the subject. As a research work this book is open for discussion which will certainly contribute to improving the text for further editions. In this sense, I am very gratefulfor comments,suggestionsand constructivecriticismfromthe reader.

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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.

 

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2007
• Sprache: Englisch
• ISBN 10: 3540360468
• ISBN 13: 9783540360469
• Einband: Gebundene Ausgabe
• Auflage: 1
• Anzahl der Seiten: 256
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Deutschland