Compact Riemann Surfaces :an introduction to contemporary mathematics
Jost, Jürgen
Compact Riemann Surfaces :an introduction to contemporary mathematics / Jürgen Jost - 3rd Ed. - New York : Springer 2006 - xviii, 277p. 24cm. - Universitext. .
1. Topological foundations --
2. Differential geometry of Riemann surfaces --
3. Harmonic maps --
4. Teichmuller spaces --
5. Geometric structures on Riemann surfaces.
"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 Teichmuller 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."--Jacket.
9783540330653
International Book Distributors :Flat No 17, Prakash Apartment 4405/2, 5 Ansari Road Darya Ganj New Delhi
Mathematics
Analysis
Riemann surfaces.
Surfaces de Riemann.
515.93 JOS
Compact Riemann Surfaces :an introduction to contemporary mathematics / Jürgen Jost - 3rd Ed. - New York : Springer 2006 - xviii, 277p. 24cm. - Universitext. .
1. Topological foundations --
2. Differential geometry of Riemann surfaces --
3. Harmonic maps --
4. Teichmuller spaces --
5. Geometric structures on Riemann surfaces.
"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 Teichmuller 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."--Jacket.
9783540330653
International Book Distributors :Flat No 17, Prakash Apartment 4405/2, 5 Ansari Road Darya Ganj New Delhi
Mathematics
Analysis
Riemann surfaces.
Surfaces de Riemann.
515.93 JOS
