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An Introduction to Differential Geometry through Computation

An Introduction to Differential Geometry through Computation

The outline of the book is as follows. Chapter 1 reviews some basic facts about smooth functions from IRn to IRm, as well as the basic facts about vector spaces, basis, and algebras. Chapter 2 introduces tangent vectors and vector fields in IRn using the standard two approaches with curves and derivations. Chapter 3 reviews linear transformations and their...

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