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Compact Riemann Surfaces

  • Kartonierter Einband
  • 304 Seiten
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Leseprobe
Although Riemann surfaces are a time-honoured field, this book is novel in its broad perspective that systematically explores the ... Weiterlesen
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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.

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



Inhalt
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.

Produktinformationen

Titel: Compact Riemann Surfaces
Untertitel: An Introduction to Contemporary Mathematics
Autor:
EAN: 9783540330653
ISBN: 3540330658
Format: Kartonierter Einband
Herausgeber: Springer Berlin Heidelberg
Anzahl Seiten: 304
Gewicht: 464g
Größe: H235mm x B155mm x T16mm
Jahr: 2006
Untertitel: Englisch
Auflage: 3rd ed. 2006
Land: DE

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