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basic_tools:vector_calculus

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Vector Calculus

Why is it interesting?

Vector calculus is an important tool, whenever we want to understand systems where directions play a role. A vector is an arrow that points in some direction. Thus, a vector is a tool to denote a direction.

This is needed, for example, to describe in which spatial direction a ball moves or how a fluid flows.


Important Vector Calculus Concepts:

Layman

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.

Student

Recommended Textbooks:

  • A perfect introduction can be found in Section 3 of Vol. 2 of Feynman's Lectures on Physics, which are available here
  • A Student's Guide to Vectors and Tensors by Daniel A. Fleisch
  • DIV, Grad, Curl, and All That: An Informal Text on Vector Calculus by H. M Schey

Researcher

The motto in this section is: the higher the level of abstraction, the better.

Examples

Example1
Example2:

FAQ

basic_tools/vector_calculus.1513430301.txt.gz · Last modified: 2017/12/16 13:18 (external edit)