Jürgen Jost: Compact Riemann Surfaces

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Cover: 9783540330653 | Compact Riemann Surfaces | An Introduction to Contemporary Mathematics

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Sprache: Englisch

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Beschreibung

Although Riemann surfaces are a time-honoured field, this book is novel in its broad perspective that systematically explores the connection with other fields of mathematics. It can serve as an introduction to contemporary mathematics as a whole as it develops background material from algebraic topology, differential geometry, the calculus of variations, elliptic PDE, and algebraic geometry. It is unique among textbooks on Riemann surfaces in including an introduction to Teichmüller theory. The analytic approach is likewise new as it is based on the theory of harmonic maps. For this new edition, the author has expanded and rewritten several sections to include additional material and to improve the presentation.

Zusammenfassung

Although Riemann surfaces are a time-honoured field, this book is novel in its broad perspective: the text systematically explores the connection with other fields of mathematics. The book can serve as an introduction to contemporary mathematics as a whole, as it develops background material from algebraic topology, differential geometry, the calculus of variations, elliptic PDE, and algebraic geometry. Compact Riemann Surfaces is unique among textbooks on Riemann surfaces in its inclusion of an introduction to Teichmüller theory. For this new edition, the author has expanded and rewritten several sections to include additional material and to improve the presentation.

Inhaltsverzeichnis

Topological Foundations.- Differential Geometry of Riemann Surfaces.- Harmonic Maps.- Teichmüller Spaces.- Geometric Structures on Riemann Surfaces.- Erratum to: Characterizing Programming Systems Allowing Program Self-reference.

Erscheinungsjahr:	2006
Fachbereich:	Geometrie
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Seiten:	304
Reihe:	Universitext
Inhalt:	xviii 282 S. 23 s/w Illustr. 282 p. 23 illus.
ISBN-13:	9783540330653
ISBN-10:	3540330658
Sprache:	Englisch
Herstellernummer:	11689881
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Jost, Jürgen
Auflage:	3rd ed. 2006
Hersteller:	Springer-Verlag GmbH Springer Berlin Heidelberg Universitext
Maße:	235 x 155 x 17 mm
Von/Mit:	Jürgen Jost
Erscheinungsdatum:	19.06.2006
Gewicht:	0,464 kg

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