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| Subject: | Engineering |
| Topic: | Applied Mathematics |
| Views: | 26,562 |
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Tutorial on Tensors in Engineering
Course Description
In these short videos, the instructor explains the mathematics underlying tensors, matrix theory, and eigenvectors. Tensor algebra is important for every engineering and applied science branch to describe complex systems.
Tensors can be described using matrices.
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Video Lectures & Study Materials
Visit the official course website for more study materials: https://www.youtube.com/playlist?list=PLfpC92A6_hGNhUj_9QMxc7ZgGMpdwb3fs
| # | Lecture | Play Lecture |
|---|---|---|
| 1 | Introduction (6:53) | Play Video |
| 2 | Summation convention, Daummy and free indices (18:22) | Play Video |
| 3 | Kronecker delta and Permutation symbol (19:44) | Play Video |
| 4 | Indical Notation Manipultion (12:23) | Play Video |
| 5 | Linear Transformation of a Tensor (5:49) | Play Video |
| 6 | Components of a Tensor (17:59) | Play Video |
| 7 | Components of a Transformed Vector (9:32) | Play Video |
| 8 | Sum and Product of Tensors (5:15) | Play Video |
| 9 | Transpose of a tensor (4:15) | Play Video |
| 10 | Trace of a Tensor (7:44) | Play Video |
| 11 | Identity and Tensor Inverse (6:36) | Play Video |
| 12 | Orthogonal Tensor (8:04) | Play Video |
| 13 | Symmetric and Antisymmetric Tensor (6:53) | Play Video |
| 14 | Eigenvalues and Eigenvectors of a Tensor (19:22) | Play Video |
| 15 | Principalvalues and Principal Direction (9:51) | Play Video |
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