Minimal surfaces for undergraduates

Abstract

In this article we present an elementary introduction to the theory of minimal surfaces in Euclidean spaces ${\mathbb{R}}^n$ for $n\ge 3$ 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.

A few misprints have been removed

References in corpus (2)

• New complex analytic methods in the theory of minimal surfaces: a survey
• Every meromorphic function is the Gauss map of a conformal minimal surface