Fundamentals of Tensor Calculus for Engineers with a Primer on Smooth Manifolds
This book presents the fundamentals of modern tensor calculus for students in engineering and applied physics, emphasizing those aspects that are crucial for applying tensor calculus safely in Euclidian space and for grasping the very essence of the smooth manifold concept. After introducing the sub...
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| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2017.
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| Edition: | 1st ed. 2017. |
| Series: | Solid Mechanics and Its Applications,
230 |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-3-319-56264-3 |
Table of Contents:
- 1 Introduction
- 2 Notes on point set topology
- 3 The finite dimensional real vector space
- 4 Tensor Algebra
- 5 Affine space and euclidean space
- 6 Tensor analysis in euclidean space
- 7 A primer on smooth manifolds
- B Further Reading.