Compact Riemann surfaces
an introduction to contemporary mathematics
by Jürgen Jost
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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. For this new edition, the author has expanded and rewritten several sections to include additional material and to improve the presentation.
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Compact Riemann surfaces: an introduction to contemporary mathematics
2002, Springer
in English
- 2nd ed.
354043299X 9783540432999
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Compact Riemann surfaces: an introduction to contemporary mathematics
1997, Springer
in English
3540533346 9783540533344
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Edition Notes
Includes bibliographical references (p. [271]-272) and indexes.
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Work Description
Although Riemann surfaces are a time-honoured subject, this book is novel in its broad perspective that systematically explores the connections 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 partial differential equations, and algebraic geometry.
It is unique among textbooks on Riemann surfaces in including an introduction to Teichmuller theory. The analytic approach is likewise new, as it is based on the theory of harmonic maps.
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- Created April 1, 2008
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| August 18, 2024 | Edited by MARC Bot | import existing book |
| November 15, 2023 | Edited by MARC Bot | import existing book |
| December 5, 2020 | Edited by MARC Bot | import existing book |
| June 29, 2019 | Edited by MARC Bot | import existing book |
| April 1, 2008 | Created by an anonymous user | Imported from Scriblio MARC record |