@book{a01c45d113cd46e3bdffe6ec1ce812cb, title = "Tensor Calculus and Differential Geometry for Engineers: With Solved Exercises", 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.", keywords = "Computational mechanics, Curvilinear coordinates, Differential geometry of curves, Differential geometry of surfaces, Higher-order tensors, Representation theorem, Search within this book, Tensor algebra, Tensor calculus, Vector algebra", author = "Shahab Sahraee and Peter Wriggers", note = "Publisher Copyright: {\textcopyright} The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023. All rights reserved.", year = "2023", month = nov, day = "11", doi = "10.1007/978-3-031-33953-0", language = "English", isbn = "978-3-031-33952-3", publisher = "Springer Nature Switzerland AG", address = "Switzerland", edition = "1.", }