Tensor Calculus and Differential Geometry ...

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Sprache: Englisch

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Beschreibung

The book contains the basics of tensor algebra as well as a comprehensive description of tensor calculus, both in Cartesian and curvilinear coordinates. Some recent developments in representation theorems and differential forms are included. The last part of the book presents a detailed introduction to differential geometry of surfaces and curves which is based on tensor calculus. By solving numerous exercises, the reader is equipped to properly understand the theoretical background and derivations. Many solved problems are provided at the end of each chapter for in-depth learning. All derivations in this text are carried out line by line which will help the reader to understand the basic ideas. Each figure in the book includes descriptive text that corresponds with the theoretical derivations to facilitate rapid learning.

Über den Autor

Peter Wriggers is emeritus professor at the Institute of Continuum Mechanics of Leibniz University Hannover, Germany. He served as president of GAMM (German Association for Computational Mechanics), president of GACM (Society for Applied Mathematics and Mechanics) and vice-president of IACM (International Association for Computational Mechanics). He currently acts as Editor-in-Chief of the journals "Computational Mechanics" and "Computational Particle Mechanics". He was awarded the Fellowship of IACM, and received the "Computational Mechanics Award" and the "IACM Award" of IACM, and the "Euler Medal" of ECCOMAS.

Zusammenfassung

Covers fundamentals of differential geometry of surfaces and curves

Provides a comprehensive treatment of tensor algebra and calculus

Addressed to advanced undergraduates & graduate students of applied mathematics, physics & engineering

Inhaltsverzeichnis

Algebra of Vectors.- Algebra of Tensors.- Algebra of Higher-Order Tensors.- Eigenvalues, Eigenvectors and Spectral Decompositions of Tensors.- Representation of Tensorial Variables in Curvilinear Coordinates.- Differentiation of Tensor Functions and Representation Theorems.- Gradient and Related Operators.- Integral Theorems and Differential Forms.- Differential Geometry of Surfaces and Curves.

Details

Erscheinungsjahr:	2023
Fachbereich:	Fertigungstechnik
Genre:	Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xix 674 S. 1 s/w Illustr. 68 farbige Illustr. 674 p. 69 illus. 68 illus. in color.
ISBN-13:	9783031339523
ISBN-10:	3031339525
Sprache:	Englisch
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Wriggers, Peter Sahraee, Shahab
Auflage:	1st ed. 2023
Hersteller:	Springer Nature Switzerland Springer International Publishing AG
Maße:	241 x 160 x 43 mm
Von/Mit:	Peter Wriggers (u. a.)
Erscheinungsdatum:	11.11.2023
Gewicht:	1,197 kg

Artikel-ID: 126864839