From vectors to tensors (Q1890174)
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scientific article; zbMATH DE number 2123714
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | From vectors to tensors |
scientific article; zbMATH DE number 2123714 |
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From vectors to tensors (English)
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22 December 2004
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This is a well-written comprehensive vectors to tensors book for students of engineering, applied mathematics and mathematics and mathematical physics. This textbook deals with tensors that are treated as vectors, and its orientation is practical. In addition to standard tensors, it introduces new tensor concepts, such as the rotation of tensors, the transposer tensor, the eigentensors, the permutation tensor structure. The book includes 197 examples and end-of-chapter exercises. A computer package, written Mathematica is available from the web. The book is divided into 5 parts: Basic tensor algebra; Special tensors; Exterior algebras; Tensor over linear spaces with inner product; Classic tensors in geometry and mechanics.
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new tensor concepts
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rotation of tensors
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transposer tensor
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eigentensors
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permutation tensor structure
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Mathematica
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exercises
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