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Math Thesis - Bernsteins theorem ( 10 Pages)

Hi,

I need a typed 10 page thesis on Bernsteins theorem.

Topic: Bernstein's theorem and its proof.

Deadline: 80 Hours

Requirement: 10 Page thesis

Thesis Requirements:

I wants brief discussion on all the 6 topics below i.e. how the below topics pertain to understanding/proving Bernsteins theorem.

1. Surface and its parametrization,

2. The first and second fundamental forms, the mean curvature and its formula.

3. Minimal surfaces (why the surfaces are called minimal?).

4. Isothermal coordinates (the proof of existence). The formula for the mean curvature in the isothermal coordinates.

5. Weierstrass presentation for minimal surfaces.

6. Bernstein's theorem (the minimal surfaces of graphs defined on the whole real plane) and its proof.

The goal is to understand the Bernstein's theorem and its proof.

Skills: Mathematics, Matlab and Mathematica, Research Writing

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