Screen LibraryFundamentals 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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| Main Authors: | |
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| Corporate Authors: | |
| Published: |
Springer International Publishing : Imprint: Springer,
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| Publisher Address: | Cham : |
| Publication Dates: | 2017. |
| Literature type: | eBook |
| Language: | English |
| Series: |
Solid Mechanics and Its Applications,
230 |
| Subjects: | |
| Online Access: |
http://dx.doi.org/10.1007/978-3-319-56264-3 |
| Summary: |
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 subject, it provides a brief exposition on point set topology to familiarize readers with the subject, especially with those topics required in later chapters. It then describes the finite dimensional real vector space and its dual, focusing on the usefulness of the latter for encoding duality concep |
| Carrier Form: | 1 online resource(XII,125pages): illustrations. |
| ISBN: | 9783319562643 |
| Index Number: | TA405 |
| CLC: | TB11 |
| Contents: | 1 Introduction -- 2 Notes on point set topology -- 3 The nite dimensional real vector space -- 4 Tensor Algebra -- 5 Af ne space and euclidean space -- 6 Tensor analysis in euclidean space -- 7 A primer on smooth manifolds -- B Further Reading. |