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Differential Forms in Algebraic Topology
Language: en
Pages: 319
Authors: Raoul Bott
Categories: Mathematics
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media

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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
Differential Forms in Algebraic Topology
Language: en
Pages: 334
Authors: Raoul Bott
Categories: Mathematics
Type: BOOK - Published: 1995-05-16 - Publisher: Springer

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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
Differential Geometry
Language: en
Pages: 358
Authors: Loring W. Tu
Categories: Mathematics
Type: BOOK - Published: 2017-06-01 - Publisher: Springer

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This text presents a graduate-level introduction to differential geometry for mathematics and physics students. The exposition follows the historical developmen
Algebraic Topology Via Differential Geometry
Language: en
Pages: 380
Authors: M. Karoubi
Categories: Mathematics
Type: BOOK - Published: 1987 - Publisher: Cambridge University Press

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In this volume the authors seek to illustrate how methods of differential geometry find application in the study of the topology of differential manifolds. Prer
An Introduction to Manifolds
Language: en
Pages: 426
Authors: Loring W. Tu
Categories: Mathematics
Type: BOOK - Published: 2010-10-05 - Publisher: Springer Science & Business Media

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Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology,