Browse Hierarchy MTH5113: Introduction to Differential Geometry

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This module provides an introduction to the differential of curves and surfaces. The core of the module deals with developing the language and tools for studying, describing and quantifying the geometry of curved objects. Particular emphasis is placed on connecting geometric questions with ideas from Calculus and Linear Algebra, as well as on extending Calculus to curved settings. The module concludes by studying some landmark results in vector Calculus e.g. Lagrange multipliers, Green's theorem and Stokes' theorem.

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