TY - BOOK
T1 - Tensor Calculus and Differential Geometry for Engineers
T2 - With Solved Exercises
AU - Sahraee, Shahab
AU - Wriggers, Peter
N1 - Publisher Copyright:
© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023. All rights reserved.
PY - 2023/11/11
Y1 - 2023/11/11
N2 - 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.
AB - 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.
KW - Computational mechanics
KW - Curvilinear coordinates
KW - Differential geometry of curves
KW - Differential geometry of surfaces
KW - Higher-order tensors
KW - Representation theorem
KW - Search within this book
KW - Tensor algebra
KW - Tensor calculus
KW - Vector algebra
UR - http://www.scopus.com/inward/record.url?scp=85182591107&partnerID=8YFLogxK
U2 - 10.1007/978-3-031-33953-0
DO - 10.1007/978-3-031-33953-0
M3 - Monograph
SN - 978-3-031-33952-3
SN - 978-3-031-33955-4
BT - Tensor Calculus and Differential Geometry for Engineers
PB - Springer Nature Switzerland AG
CY - Cham
ER -