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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.
Detalles del Libro
- Name: Riemann Surfaces (Oxford Graduate Texts in Mathematics)
- Autor: Simon Donaldson
- Categoria: Libros,Ciencias, tecnología y medicina,Física
- Tamaño del archivo: 12 MB
- Tipos de archivo: PDF Document
- Idioma: Español
- Archivos de estado: AVAILABLE
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Riemann Surfaces Oxford Graduate Texts in Mathematics ~ Riemann Surfaces Oxford Graduate Texts in Mathematics: : Donaldson, Simon: Libros en idiomas extranjeros
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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.
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Riemann Surfaces (Oxford Graduate Texts in Mathematics ~ Riemann Surfaces (Oxford Graduate Texts in Mathematics) 1st Edition by Simon Donaldson (Author) 4.8 out of 5 stars 8 ratings. ISBN-13: 978-0199606740. ISBN-10: 0199606749. Why is ISBN important? ISBN. This bar-code number lets you verify that you're getting exactly the right .
Riemann Surfaces: A Primer (London Mathematical Society ~ Buy Riemann Surfaces: A Primer (London Mathematical Society Student Texts) 2nd Revised edition by Beardon, A.F. (ISBN: 9780521659628) from 's Book Store. Everyday low prices and free delivery on eligible orders.
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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.
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:
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.
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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.
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Riemann Surfaces (Graduate Texts in Mathematics) (v. 71) (豆瓣) ~ 图书Riemann Surfaces (Graduate Texts in Mathematics) (v. 71) 介绍、书评、论坛及推荐
Lectures on Riemann Surfaces (Graduate Texts in Mathematics) ~ Graduate Texts in Mathematics (共193册), 这套丛书还有 《Elementary Algebraic Geometry》,《General Topology》,《Advanced Topics in the Arithmetic of Elliptic Curves》,《Representations of Compact Lie Groups》,《The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)》 等。
Lectures on Riemann Surfaces (Graduate Texts in ~ Lectures on Riemann Surfaces (Graduate Texts in Mathematics) Book Title :Lectures on Riemann Surfaces (Graduate Texts in Mathematics) This book grew out of lectures on Riemann surfaces given by Otto Forster at the Universities of Munich, Regensburg and Munster.
Riemann Surfaces - Simon Donaldson - Librairie Eyrolles ~ 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.
Riemann Surfaces - Oxford Scholarship ~ 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 .
Riemann surfaces (Book, 2011) [WorldCat] ~ Get this from a library! Riemann surfaces. [S K Donaldson] -- This is 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, the book .
Riemann Surfaces / Oxford University Press ~ 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 .
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Riemann Surfaces - Temple University ~ Prerequisites: As speci ed in the Graduate Bulletin, or permission from instruc-tor. Textbook: Simon Donaldson, Riemann Surfaces, Oxford Graduate Texts in Math-ematics, 2011. ISBN: 9780199606740. Course Goals: To master a number of topics related to Riemann Surfaces such as introductory di erential geometry, di erential topology, complex .
Riemann Surfaces / Mathematical Association of America ~ For me it has been many years since I’ve had occasion to deal with Riemann surfaces: the bulk of such activity for me came at the very start of my graduate school education, or even before it, when the late Basil Gordon (may God rest his soul: he passed away in 2012) presented a masterful treatment of modular forms to an audience of budding number theorists (like me).
Introduction to Riemann Surfaces - univie.ac.at ~ Riemann surfaces of algebraic functions, i.e., functions which satisfy a polynomial equation with meromorphic coe cients. For the further study of Riemann surfaces we need the calculus of di eren-tial forms which is introduced in chapter 3. We also brie y discuss periods and summands of automorphy.