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,
Introduction to Smooth Manifolds
Language: en
Pages: 646
Authors: John M. Lee
Categories: Mathematics
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

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Author has written several excellent Springer books.; This book is a sequel to Introduction to Topological Manifolds; Careful and illuminating explanations, exc
Introduction to Topological Manifolds
Language: en
Pages: 395
Authors: John M. Lee
Categories: Mathematics
Type: BOOK - Published: 2000 - Publisher: Springer Science & Business Media

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Exercises in the text, especially in the first part of the book. Author states, that they have to be solved, without the solutions, the text is incomplete. Incl
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
Calculus on Manifolds
Language: en
Pages: 164
Authors: Michael Spivak
Categories: Science
Type: BOOK - Published: 1965 - Publisher: Westview Press

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This book uses elementary versions of modern methods found in sophisticated mathematics to discuss portions of "advanced calculus" in which the subtlety of the