## Details

Original language | English |
---|---|

Place of Publication | Cham |

Publisher | Springer Nature Switzerland AG |

Number of pages | 674 |

Edition | 1. |

ISBN (electronic) | 978-3-031-33953-0 |

ISBN (print) | 978-3-031-33952-3, 978-3-031-33955-4 |

Publication status | Published - 11 Nov 2023 |

## Abstract

## 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

## ASJC Scopus subject areas

## Cite this

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**Tensor Calculus and Differential Geometry for Engineers: With Solved Exercises.**/ Sahraee, Shahab; Wriggers, Peter.

1. ed. Cham: Springer Nature Switzerland AG, 2023. 674 p.

Research output: Book/Report › Monograph › Research › peer review

*Tensor Calculus and Differential Geometry for Engineers: With Solved Exercises*. 1. edn, Springer Nature Switzerland AG, Cham. https://doi.org/10.1007/978-3-031-33953-0

*Tensor Calculus and Differential Geometry for Engineers: With Solved Exercises*. (1. ed.) Springer Nature Switzerland AG. https://doi.org/10.1007/978-3-031-33953-0

}

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 -