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 ...
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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 Teichmuller theory. The analytic approach is likewise new as it is based on the theory of harmonic maps. For this 2nd edition the author has further improved aspects of presentation of various parts of the text.
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Add this copy of Compact Riemann Surfaces. an Introduction to to cart. $40.60, very good condition, Sold by Literary Cat Books rated 2.0 out of 5 stars, ships from Machynlleth, Powys, WALES, UNITED KINGDOM, published 2002 by Springer.
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Near Fine. 354043299X. Top right hand corner front cover & first few pages lightly creased, otherwise slight shelfwear only. Spine uncreased.; Octavo; xvi, 278 pages.