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  • Metric Structures in Differential Geometryby Gerard Walschap

    Springer New York 2012; US$ 84.95

    This text is an elementary introduction to differential geometry. Although it was written for a graduate-level audience, the only requisite is a solid back­ ground in calculus, linear algebra, and basic point-set topology. The first chapter covers the fundamentals of differentiable manifolds that are the bread and butter of differential geometry. All... more...

  • Multivariable Calculus and Differential Geometryby Gerard Walschap

    De Gruyter 2015; US$ 49.00

    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. more...

  • Metric Foliations and Curvatureby Detlef Gromoll; Gerard Walschap

    Birkhäuser Basel 2009; US$ 99.00

    Riemannian manifolds, particularly those with positive or nonnegative curvature, are constructed from only a handful by means of metric fibrations or deformations thereof. This text documents some of these constructions, many of which have only appeared in journal form. more...

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