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The uniqueness of this text in combining geometric topology and differential geometry lies in its unifying thread: the notion of a surface. With numerous illust
A Course in Differential Geometry
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This English edition could serve as a text for a first year graduate course on differential geometry, as did for a long time the Chicago Notes of Chern mentione
Differential Geometry and Topology
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Accessible, concise, and self-contained, this book offers an outstanding introduction to three related subjects: differential geometry, differential topology, a
Differential Forms in Algebraic Topology
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Developed from a first-year graduate course in algebraic topology, this text is an informal introduction to some of the main ideas of contemporary homotopy and
Introduction to Geometry and Topology
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This book provides an introduction to topology, differential topology, and differential geometry. It is based on manuscripts refined through use in a variety of