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Riemann Surfaces (Oxford Graduate Texts in Mathematics) de Simon Donaldson

Descripción - Críticas This clear and insightful text, from one of the foremost researchers in the field, is suitable for graduate or advanced undergraduate course on Riemann surfaces, and will provide fascinating reading for professional mathematicians. (L'Enseignement Mathematique) 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. Biografía del autor Simon Donaldson gained a BA from Cambridge in 1979. In 1980 he began graduate work in Oxford, supervised by Nigel Hitchin and Sir Michael Atiyah. His PhD thesis studied mathematical aspects of Yang-Mills theory. In 1986, aged 29, he was awarded a Fields Medal and was elected to the Royal Society. He was Wallis Professor of Mathematics in Oxford between 1985 and 1998 when he moved to Imperial College London. Most of his work since has been on the interface between differential geometry and complex algebraic geometry. The recipient of numerous awards, including the Shaw Prize in 2009 with Clifford Taubes, he is also a Foreign Member of the US, French & Swedish academies. Donaldson has supervised more than 40 doctoral students, many of whom have gone on to become leading figures in research.

Riemann surfaces book, 2011 worldcat 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 read more rating not yet oxford graduate texts in mathematics reviews editorial reviews Riemann surfaces oxford graduate texts in mathematics 配送商品ならriemann surfaces oxford graduate texts in mathematicsが通常配送無料更にならポイント還元本が多数donaldson, simon作品ほかお急ぎ便対象商品は当日お届けも可能 riemann surfaces oxford graduate texts in noté 5 retrouvez riemann surfaces oxford graduate texts in mathematics et des millions de livres en stock sur achetez neuf ou doccasion

Riemann surfaces oxford graduate texts in mathematics buy riemann surfaces oxford graduate texts in mathematics 1st edition by donaldson, simon isbn 9780199606740 from s book store everyday low prices and free delivery on eligible orders Riemann surfaces oxford graduate texts in mathematics riemann surfaces oxford graduate texts in mathematics 1st edition by simon donaldson author 48 out of 5 stars 8 ratings isbn13 9780199606740 isbn10 0199606749 why is isbn important isbn this barcode number lets you verify that youre getting exactly the right Mathematics 9302 riemann surfaces uwo, math department riemann surfaces, by simon donaldson, oxford university press among all modern expositions of the theory, this one is particularly riemann surfaces oxford graduate texts in mathematics 22, 2011 4 h m farkas, i kra, , riemann surfaces 2nd ed, berlin, new york

Detalles del Libro

• Name: Riemann Surfaces (Oxford Graduate Texts in Mathematics)
  
• Autor: Simon Donaldson
  
• Categoria: Libros,Ciencias, tecnología y medicina,Física
  
• Tamaño del archivo: 7 MB
  
• Tipos de archivo: PDF Document
  
• Idioma: Español
  
• Archivos de estado: AVAILABLE
  

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