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)
Item Number
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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