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Cover: 9780387908946 | Foundations of Differentiable Manifolds and Lie Groups | Warner | Buch
Bild: 9780387908946 | Foundations of Differentiable Manifolds and Lie Groups | Warner | Buch
Cover: 9780387908946 | Foundations of Differentiable Manifolds and Lie Groups | Warner | Buch
Bild: 9780387908946 | Foundations of Differentiable Manifolds and Lie Groups | Warner | Buch
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Foundations of Differentiable Manifolds and Lie Groups
Buch von Frank W. Warner
Sprache: Englisch

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Beschreibung
Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. It includes differentiable manifolds, tensors and differentiable forms. Lie groups and homogenous spaces, integration on manifolds, and in addition provides a proof of the de Rham theorem via sheaf cohomology theory, and develops the local theory of elliptic operators culminating in a proof of the Hodge theorem. Those interested in any of the diverse areas of mathematics requiring the notion of a differentiable manifold will find this beginning graduate-level text extremely useful.
Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. It includes differentiable manifolds, tensors and differentiable forms. Lie groups and homogenous spaces, integration on manifolds, and in addition provides a proof of the de Rham theorem via sheaf cohomology theory, and develops the local theory of elliptic operators culminating in a proof of the Hodge theorem. Those interested in any of the diverse areas of mathematics requiring the notion of a differentiable manifold will find this beginning graduate-level text extremely useful.
Zusammenfassung
Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. It includes differentiable manifolds, tensors and differentiable forms. Lie groups and homogenous spaces, integration on manifolds, and in addition provides a proof of the de Rham theorem via sheaf cohomology theory, and develops the local theory of elliptic operators culminating in a proof of the Hodge theorem. Those interested in any of the diverse areas of mathematics requiring the notion of a differentiable manifold will find this beginning graduate-level text extremely useful.
Inhaltsverzeichnis
1 Manifolds.- 2 Tensors and Differential Forms.- 3 Lie Groups.- 4 Integration on Manifolds.- 5 Sheaves, Cohomology, and the de Rham Theorem.- 6 The Hodge Theorem.- Supplement to the Bibliography.- Index of Notation.
Details
Erscheinungsjahr: 1983
Fachbereich: Topologie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Graduate Texts in Mathematics
Inhalt: x
276 S.
3 s/w Illustr.
57 Illustr.
ISBN-13: 9780387908946
ISBN-10: 0387908943
Sprache: Englisch
Herstellernummer: 10244282
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Warner, Frank W.
Auflage: 1st ed. 1971. 2nd printing 1983
Hersteller: Springer New York
Springer US, New York, N.Y.
Graduate Texts in Mathematics
Maße: 241 x 160 x 22 mm
Von/Mit: Frank W. Warner
Erscheinungsdatum: 10.10.1983
Gewicht: 0,606 kg
Artikel-ID: 105090618
Zusammenfassung
Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. It includes differentiable manifolds, tensors and differentiable forms. Lie groups and homogenous spaces, integration on manifolds, and in addition provides a proof of the de Rham theorem via sheaf cohomology theory, and develops the local theory of elliptic operators culminating in a proof of the Hodge theorem. Those interested in any of the diverse areas of mathematics requiring the notion of a differentiable manifold will find this beginning graduate-level text extremely useful.
Inhaltsverzeichnis
1 Manifolds.- 2 Tensors and Differential Forms.- 3 Lie Groups.- 4 Integration on Manifolds.- 5 Sheaves, Cohomology, and the de Rham Theorem.- 6 The Hodge Theorem.- Supplement to the Bibliography.- Index of Notation.
Details
Erscheinungsjahr: 1983
Fachbereich: Topologie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Graduate Texts in Mathematics
Inhalt: x
276 S.
3 s/w Illustr.
57 Illustr.
ISBN-13: 9780387908946
ISBN-10: 0387908943
Sprache: Englisch
Herstellernummer: 10244282
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Warner, Frank W.
Auflage: 1st ed. 1971. 2nd printing 1983
Hersteller: Springer New York
Springer US, New York, N.Y.
Graduate Texts in Mathematics
Maße: 241 x 160 x 22 mm
Von/Mit: Frank W. Warner
Erscheinungsdatum: 10.10.1983
Gewicht: 0,606 kg
Artikel-ID: 105090618
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