书目名称 | Tensor Calculus and Differential Geometry for Engineers |
副标题 | With Solved Exercise |
编辑 | Shahab Sahraee,Peter Wriggers |
视频video | |
概述 | 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 applie |
图书封面 |  |
描述 | .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.. |
出版日期 | Textbook 2023 |
关键词 | differential geometry of curves; tensor calculus; Representation theorem; Higher-Order Tensors; tensor a |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-031-33953-0 |
isbn_softcover | 978-3-031-33955-4 |
isbn_ebook | 978-3-031-33953-0 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |