This text explores the connection of Reimann surfaces with other fields of mathematics. It is intended as an introduction to contemporary mathematics and it includes background material from algebraic topology, differential geometry, the calculus of variations, elliptic PDE, and algebraic geometry.
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From the reviews: "Compact Riemann Surfaces: An Introduction to Contemporary Mathematics starts off with a wonderful Preface containing a good deal of history, as well as Jost’s explicit dictum that there are three foci around which the whole subject revolves … . Jost’s presentation is quite accessible, modulo a lot of diligence on the part of the reader. It’s a very good and useful book, very well-written and thorough." (Michael Berg, MathDL, April, 2007)
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Language Notes
Text: English (translation)
Original Language: German
Original Language: German
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First Sentence:
Definition 1.1.1 A manifold of dimension n is a connected Hausdorff space M for which every point has a neighbourhood U that is homeomorphic to an open subset V of Rn. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Homotopy of Maps New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Definition 1.1.1 A manifold of dimension n is a connected Hausdorff space M for which every point has a neighbourhood U that is homeomorphic to an open subset V of Rn. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Homotopy of Maps New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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This book cites 100
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39
books
cite this book:
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- Stochastic Differential Equations (Siam-Ams Proceedings Ser .: No 6) by N. Y.) Symposium in Applied Mathematics (1972 New York in Back Matter (1), and Back Matter (2)
- Complex Analysis by Lars Ahlfors in Front Matter, and Back Matter
- Heights of Polynomials and Entropy in Algebraic Dynamics (Universitext) by Graham Everest in Back Matter
- Theory and Numerics of Differential Equations by James F. Blowey in Back Matter
- Geometric and Analytic Number Theory (Universitext) by Edmund Hlawka in Back Matter
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- A Course in Credibility Theory and its Applications (Universitext) by Hans Bühlmann in Back Matter (1), and Back Matter (2)
- Option Theory with Stochastic Analysis: An Introduction to Mathematical Finance (Universitext) by Fred Espen Benth in Back Matter
- Complex Geometry: An Introduction (Universitext) by Daniel Huybrechts in Back Matter
- p-adic Numbers: An Introduction (Universitext) by Fernando Quadros Gouvea in Back Matter
- Theory and Numerics of Differential Equations by James F. Blowey in Back Matter
See all 39 books citing this book
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