Tensor calculus and differential geometry for engineers : with solved exercises / Shahab Sahraee, Peter Wriggers.
Sahraee, Shahab, author.; Wriggers, P., author.
2023
TA347.T4
Available Online

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Title Tensor calculus and differential geometry for engineers : with solved exercises / Shahab Sahraee, Peter Wriggers.
Author Sahraee, Shahab, author.
ISBN 9783031339530 (electronic bk.)
3031339533 (electronic bk.)
9783031339523
3031339525
DOI https://doi.org/10.1007/978-3-031-33953-0
Published Cham : Springer, [2023]
Copyright ©2023
Language English
Description 1 online resource (xix, 674 pages) : illustrations (chiefly color)
Other Standard Identifiers 10.1007/978-3-031-33953-0 doi
Call Number TA347.T4
Dewey Decimal Classification 620.001/51563
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed November 16, 2023).
Added Author Wriggers, P., author.
Available in Other Form Print version: 9783031339523
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All Resources
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.

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