Tensor Calculus and Differential Geometry for Engineers

With Solved Exercises

verfasst von
Shahab Sahraee, Peter Wriggers
Abstract

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.

Organisationseinheit(en)
Institut für Kontinuumsmechanik
Typ
Monografie
Anzahl der Seiten
674
Publikationsdatum
11.11.2023
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
Elektronische Version(en)
https://doi.org/10.1007/978-3-031-33953-0 (Zugang: Geschlossen)
 

Details im Forschungsportal „Research@Leibniz University“