Tensor calculus and differential geometry for engineers : with solved exercises / Shahab Sahraee, Peter Wriggers.

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Tensor calculus and differential geometry for engineers : with solved exercises / Shahab Sahraee, Peter Wriggers.

9783031339530 (electronic bk.)
3031339533 (electronic bk.)
9783031339523
3031339525

Cham : Springer, [2023]

©2023

English

1 online resource (xix, 674 pages) : illustrations (chiefly color)

10.1007/978-3-031-33953-0 doi

TA347.T4

620.001/51563

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.

Includes bibliographical references and index.

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Online resource; title from PDF title page (SpringerLink, viewed November 16, 2023).

Print version: 9783031339523

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