Minimal surfaces for undergraduates

preprint2021arXivOpen access

Abstract

In this article we present an elementary introduction to the theory of minimal surfaces in Euclidean spaces Rn\mathbb R^n for n≥3n\ge 3 by using only elementary calculus of functions of several variables at the level of a typical second-year undergraduate analysis course for students of Mathematics at European universities. No prior knowledge of differential geometry is assumed.

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