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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.
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Riemann surfaces paperback simon donaldson oxford 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
Lectures on riemann surfaces graduate texts in mathematics graduate texts in mathematics 共193册 这套丛书还有 elementary algebraic geometrygeneral topologyadvanced topics in the arithmetic of elliptic curvesrepresentations of compact lie groupsthe arithmetic of elliptic curves graduate texts in mathematics 等
Lectures on riemann surfaces ebook libros e ebooks descargar libro lectures on riemann surfaces ebook del autor robert c gunning isbn 9781400872695 en pdf o epub completo al mejor precio leer online gratis la sinopsis o resumen opiniones críticas y comentarios
Algebraic curves and riemann surfaces graduate studies in i went to graduate school in mathematics more than 30 years ago and my present job is not related to mathematical research recently i have started reading mathematics books at the level similar to some of my old graduate courses just for pure enjoyment of learning then i realized that i did not take any course on riemann surfaces
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
Riemann surfaces oxford graduate texts in mathematics riemann surfaces oxford graduate texts in mathematics book 22 kindle edition by donaldson simon download it once and read it on your kindle device pc phones or tablets use features like bookmarks note taking and highlighting while reading riemann surfaces oxford graduate texts in mathematics book 22