37 research outputs found

    Multivariable calculus and differential geometry

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    This text is a modern in-depth study of the subject that includes all the material needed from linear algebra. It then goes on to investigate topics in differential geometry, such as manifolds in Euclidean space, curvature, and the generalization of the fundamental theorem of calculus known as Stokes' theorem

    Metric structures in differential geometry

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    Metric foliations and curvature

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    The metric projection onto the soul

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