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INTRODUCTION TO DIFFERENTIAL MANIFOLDS, AN
Taschenbuch von Dennis Barden & Charles Thomas
Sprache: Englisch

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Beschreibung
This invaluable book, based on the many years of teaching experience of both authors, introduces the reader to the basic ideas in differential topology. Among the topics covered are smooth manifolds and maps, the structure of the tangent bundle and its associates, the calculation of real cohomology groups using differential forms (de Rham theory), and applications such as the Poincaré-Hopf theorem relating the Euler number of a manifold and the index of a vector field. Each chapter contains exercises of varying difficulty for which solutions are provided. Special features include examples drawn from geometric manifolds in dimension 3 and Brieskorn varieties in dimensions 5 and 7, as well as detailed calculations for the cohomology groups of spheres and tori.
This invaluable book, based on the many years of teaching experience of both authors, introduces the reader to the basic ideas in differential topology. Among the topics covered are smooth manifolds and maps, the structure of the tangent bundle and its associates, the calculation of real cohomology groups using differential forms (de Rham theory), and applications such as the Poincaré-Hopf theorem relating the Euler number of a manifold and the index of a vector field. Each chapter contains exercises of varying difficulty for which solutions are provided. Special features include examples drawn from geometric manifolds in dimension 3 and Brieskorn varieties in dimensions 5 and 7, as well as detailed calculations for the cohomology groups of spheres and tori.
Details
Erscheinungsjahr: 2003
Fachbereich: Geometrie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9781860943553
ISBN-10: 1860943551
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Dennis Barden & Charles Thomas
Hersteller: ICP
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 229 x 152 x 13 mm
Von/Mit: Dennis Barden & Charles Thomas
Erscheinungsdatum: 12.03.2003
Gewicht: 0,343 kg
Artikel-ID: 101909862
Details
Erscheinungsjahr: 2003
Fachbereich: Geometrie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9781860943553
ISBN-10: 1860943551
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Dennis Barden & Charles Thomas
Hersteller: ICP
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 229 x 152 x 13 mm
Von/Mit: Dennis Barden & Charles Thomas
Erscheinungsdatum: 12.03.2003
Gewicht: 0,343 kg
Artikel-ID: 101909862
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