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This document provides an overview of local theory of surfaces in differential geometry. It discusses: 1) Defining surfaces locally using coordinate patches that map an open subset of R2 to R3 such that the partial derivatives are linearly independent. 2) Examples of coordinate patches including Monge patches and the upper hemisphere. 3) Introducing coordinate transformations between patches, and showing that surfaces are unchanged under such transformations.

Author

Derrick Akwasi Amankwah

Language

EN