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--- basic_tools:tensor_calculus [2018/04/13 09:48]
bogumilvidovic
+++ basic_tools:tensor_calculus [2018/05/05 15:17]
jakobadmin [Concrete]
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 <tabbox Intuitive>
-<note tip>
+<blockquote>A tensor is a relation between one vector and another. If you start with one vector, such as a force, and mathematically apply it to a tensor, then you get another vector. That vector might be, for example, the stress caused by the force.
-Explanations in this section should contain no formulas, but instead colloquial things like you would hear them during a coffee break or at a cocktail party.
-</note>
+That’s the simplest thing they do. Tensors do other things too; for example, the metric tensor represent the geometry of space. A tensor can represent the energy-momentum density. A tensor can represent a combination of electric and magnetic fields in a way that some of Maxwell’s equations greatly simplify. But the simplest and most basic connection is the vector to vector one.
+A function relates one number (a “scalar”) to another one. A tensor does that for vectors.<cite>http://qr.ae/TUTNzc</cite></blockquote>
 <tabbox Concrete>
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+  * A Brief on Tensor Analysis by James Simmonds
   * [[http://amzn.to/2zqbkeU|A Student's Guide to Vectors and Tensors]] by Fleisch (book)
   * [[http://maths.dur.ac.uk/users/kasper.peeters/pdf/tensor_en.pdf|Introduction to Tensor Calculus]] by Kees Dullemond & Kasper Peeters (free)