Compact Riemann Surfaces [electronic resource] : An Introduction to Contemporary Mathematics / by Jȭrgen Jost.
Tipo de material:
TextoSeries UniversitextEditor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006Edición: Third EditionDescripción: XVIII, 282 p. 23 illus. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783540330677Trabajos contenidos: SpringerLink (Online service)Tema(s): Mathematics | Global differential geometry | Mathematics | Differential GeometryFormatos físicos adicionales: Sin títuloClasificación CDD: 516.36 Clasificación LoC:QA641-670Recursos en línea: de clik aquí para ver el libro electrónico Topological Foundations -- Differential Geometry of Riemann Surfaces -- Harmonic Maps -- Teichmȭller Spaces -- Geometric Structures on Riemann Surfaces -- Erratum to: Characterizing Programming Systems Allowing Program Self-reference.
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 Teichmȭller theory. For this new edition, the author has expanded and rewritten several sections to include additional material and to improve the presentation.
ZDB-2-SMA
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