A differential geometry primer!

Tangents, normals, curvatures, grad, curl, Laplacian… Here is a nice primer on differential geometry published in the Reviews of Modern Physics. On the way, you might learn a bit of soft condensed matter too. According to the abstract, the necessary pre-requisite is just vector calculus:

This article presents an overview of the differential geometry of curves and surfaces using examples from soft matter as illustrations. The presentation requires a background only in vector calculus and is otherwise self-contained.

Here is a link to the preprint at arXiv. Nice and extremely readable article!

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