Tensor Calculus and Differential Geometry for Engineers
With Solved Exercises
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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.
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.
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
Autor*in
Shahab Sahraee
Themen in »Tensor Calculus and Differential Geometry for Engineers«
differential geometry of curves tensor calculus Representation theorem Higher-Order Tensors tensor algebra differential geometry of surfaces computational mechanics Curvilinear coordinates vector algebra
Stimmen zu »Tensor Calculus and Differential Geometry for Engineers«
“This massive book is highly recommended to electric/mechanics/control graduate students and engineers, applied mathematicians and any other professionals or scientists interested in study, research and application of tensor calculus.” (Mihail Voicu, zbMATH 1548.53001, 2024)
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