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Sinopsis
Book by Donaldson Simon
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Críticas
"This book may be recommended to readers of all levels, from beginners to specialists." -- Mathematical Reviews "This compact book is a fabulous contribution to the literature on the gorgeous and important subject of Riemann surfaces... The book is simply wonderful." --MAA Reviews
Reseña del editor
The theory of Riemann surfaces occupies a very special place in mathematics. It is a culmination of much of traditional calculus, making surprising connections with geometry and arithmetic. It is an extremely useful part of mathematics, knowledge of which is needed by specialists in many other fields. It provides a model for a large number of more recent developments in areas including manifold topology, global analysis, algebraic geometry, Riemannian geometry, and diverse topics in mathematical physics.
This graduate text on Riemann surface theory proves the fundamental analytical results on the existence of meromorphic functions and the Uniformisation Theorem. The approach taken emphasises PDE methods, applicable more generally in global analysis. The connection with geometric topology, and in particular the role of the mapping class group, is also explained. To this end, some more sophisticated topics have been included, compared with traditional texts at this level. While the treatment is novel, the roots of the subject in traditional calculus and complex analysis are kept well in mind.
Part I sets up the interplay between complex analysis and topology, with the latter treated informally. Part II works as a rapid first course in Riemann surface theory, including elliptic curves. The core of the book is contained in Part III, where the fundamental analytical results are proved. Following this section, the remainder of the text illustrates various facets of the more advanced theory.
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- EditorialAcademic
- Año de publicación2011
- ISBN 10 0198526393
- ISBN 13 9780198526391
- EncuadernaciónTapa dura
- IdiomaInglés
- Número de páginas302
EUR 177,37
EUR 17,87 gastos de envío desde Estados Unidos de America a España
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Riemann Surfaces (Oxford Graduate Texts in Mathematics)
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Oxford University Press, 2011
ISBN 10: 0198526393
ISBN 13: 9780198526391
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Riemann Surfaces
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Riemann Surfaces
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Riemann Surfaces
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Riemann Surfaces
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Oxford University Press, 2011
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ISBN 13: 9780198526391
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Riemann Surfaces
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Gebunden. Condición: New. An authoritative but accessible text on one dimensional complex manifolds or Riemann surfaces. Dealing with the main results on Riemann surfaces from a variety of points of view it pulls together material from global analysis, topology, and algebraic geome. Nº de ref. del artículo: 5895368
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Riemann Surfaces
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ISBN 13: 9780198526391
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Riemann Surfaces (Hardcover)
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Oxford University Press, Oxford, 2011
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Hardcover. Condición: new. Hardcover. The theory of Riemann surfaces occupies a very special place in mathematics. It is a culmination of much of traditional calculus, making surprising connections with geometry and arithmetic. It is an extremely useful part of mathematics, knowledge of which is needed by specialists in many other fields. It provides a model for a large number of more recent developments in areas including manifold topology, global analysis, algebraic geometry, Riemannian geometry, anddiverse topics in mathematical physics.This graduate text on Riemann surface theory proves the fundamental analytical results on the existence of meromorphic functions and theUniformisation Theorem. The approach taken emphasises PDE methods, applicable more generally in global analysis. The connection with geometric topology, and in particular the role of the mapping class group, is also explained. To this end, some more sophisticated topics have been included, compared with traditional texts at this level. While the treatment is novel, the roots of the subject in traditional calculus and complex analysis are kept well in mind.Part I sets upthe interplay between complex analysis and topology, with the latter treated informally. Part II works as a rapid first course in Riemann surface theory, including elliptic curves. The core of the bookis contained in Part III, where the fundamental analytical results are proved. Following this section, the remainder of the text illustrates various facets of the more advanced theory. An authoritative but accessible text on one dimensional complex manifolds or Riemann surfaces. Dealing with the main results on Riemann surfaces from a variety of points of view; it pulls together material from global analysis, topology, and algebraic geometry, and covers the essential mathematical methods and tools. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Nº de ref. del artículo: 9780198526391
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Riemann Surfaces
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Oxford University Press, 2011
ISBN 10: 0198526393
ISBN 13: 9780198526391
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