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This second edition has been extensively revised and clarified, and the topics have been substantially rearranged. The book now introduces the two most important analytic tools, the rank theorem and the fundamental theorem on flows, much earlier so that they can be used throughout the book. A fewnew topics have been added, notably Sard¿s theorem and transversality, a proof that infinitesimal Lie group actions generate global group actions, a more thorough study of first-order partial differential equations, a brief treatment of degree theory for smooth maps between compact manifolds, and an introduction to contact structures.
Prerequisites include a solid acquaintance with general topology, the fundamental group, and covering spaces, as well as basic undergraduate linear algebra and real analysis.
This second edition has been extensively revised and clarified, and the topics have been substantially rearranged. The book now introduces the two most important analytic tools, the rank theorem and the fundamental theorem on flows, much earlier so that they can be used throughout the book. A fewnew topics have been added, notably Sard¿s theorem and transversality, a proof that infinitesimal Lie group actions generate global group actions, a more thorough study of first-order partial differential equations, a brief treatment of degree theory for smooth maps between compact manifolds, and an introduction to contact structures.
Prerequisites include a solid acquaintance with general topology, the fundamental group, and covering spaces, as well as basic undergraduate linear algebra and real analysis.
John M. Lee is Professor of Mathematics at the University of Washington in Seattle, where he regularly teaches graduate courses on the topology and geometry of manifolds. He was the recipient of the American Mathematical Society's Centennial Research Fellowship and he is the author of four previous Springer books: the first edition (2003) of Introduction to Smooth Manifolds, the first edition (2000) and second edition (2010) of Introduction to Topological Manifolds, and Riemannian Manifolds: An Introduction to Curvature (1997).
New edition extensively revised and clarified, and topics have been substantially rearranged
Introduces the two most important analytic tools, the rank theorem and the fundamental theorem on flows, much earlier in the text
Added topics include Sard's theorem and transversality, a proof that infinitesimal Lie group actions generate global group actions, a more thorough study of first-order partial differential equations, a brief treatment of degree theory for smooth maps between compact manifolds, and an introduction to contact structures
Includes supplementary material: [...]
Includes supplementary material: [...]
| Erscheinungsjahr: | 2012 |
|---|---|
| Fachbereich: | Geometrie |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Seiten: | 724 |
| Reihe: | Graduate Texts in Mathematics |
| Inhalt: |
xvi
708 S. |
| ISBN-13: | 9781441999818 |
| ISBN-10: | 1441999817 |
| Sprache: | Englisch |
| Herstellernummer: | 80035622 |
| Ausstattung / Beilage: | HC gerader Rücken kaschiert |
| Einband: | Gebunden |
| Autor: | Lee, John |
| Auflage: | 2nd ed. 2013 |
| Hersteller: |
Springer US
Springer New York Graduate Texts in Mathematics |
| Maße: | 241 x 160 x 43 mm |
| Von/Mit: | John Lee |
| Erscheinungsdatum: | 26.08.2012 |
| Gewicht: | 1,238 kg |
John M. Lee is Professor of Mathematics at the University of Washington in Seattle, where he regularly teaches graduate courses on the topology and geometry of manifolds. He was the recipient of the American Mathematical Society's Centennial Research Fellowship and he is the author of four previous Springer books: the first edition (2003) of Introduction to Smooth Manifolds, the first edition (2000) and second edition (2010) of Introduction to Topological Manifolds, and Riemannian Manifolds: An Introduction to Curvature (1997).
New edition extensively revised and clarified, and topics have been substantially rearranged
Introduces the two most important analytic tools, the rank theorem and the fundamental theorem on flows, much earlier in the text
Added topics include Sard's theorem and transversality, a proof that infinitesimal Lie group actions generate global group actions, a more thorough study of first-order partial differential equations, a brief treatment of degree theory for smooth maps between compact manifolds, and an introduction to contact structures
Includes supplementary material: [...]
Includes supplementary material: [...]
| Erscheinungsjahr: | 2012 |
|---|---|
| Fachbereich: | Geometrie |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Seiten: | 724 |
| Reihe: | Graduate Texts in Mathematics |
| Inhalt: |
xvi
708 S. |
| ISBN-13: | 9781441999818 |
| ISBN-10: | 1441999817 |
| Sprache: | Englisch |
| Herstellernummer: | 80035622 |
| Ausstattung / Beilage: | HC gerader Rücken kaschiert |
| Einband: | Gebunden |
| Autor: | Lee, John |
| Auflage: | 2nd ed. 2013 |
| Hersteller: |
Springer US
Springer New York Graduate Texts in Mathematics |
| Maße: | 241 x 160 x 43 mm |
| Von/Mit: | John Lee |
| Erscheinungsdatum: | 26.08.2012 |
| Gewicht: | 1,238 kg |
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