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eBook Riemann Surfaces (Oxford Graduate Texts in Mathematics) ePub

by Simon Donaldson

eBook Riemann Surfaces (Oxford Graduate Texts in Mathematics) ePub
Author: Simon Donaldson
Language: English
ISBN: 0199606749
ISBN13: 978-0199606740
Publisher: Oxford University Press; 1 edition (May 19, 2011)
Pages: 256
Category: Mathematics
Subcategory: Science
Rating: 4.4
Votes: 320
Formats: mobi docx doc txt
ePub file: 1341 kb
Fb2 file: 1816 kb

Riemann Surfaces (Oxford. has been added to your Cart. 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.

Riemann Surfaces (Oxford. 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.

Simon Donaldson gained a BA from Cambridge in 1979.

Graduate Texts in Mathematics (GTM) (ISSN 0072-5285) is a series of graduate-level textbooks in mathematics published by Springer-Verlag. The GTM series is easily identified by a white band at the top of the book.

This graduate text on Riemann surface theory proves the fundamental . Simon Donaldson The theory of Riemann surfaces occupies a very special place in mathematics.

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. 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.

This book grew out of lectures on Riemann surfaces given by Otto Forster at the Universities of Munich, Regensburg and Munster. Texts in Mathematics) Download Full Film Watch Lectures on Riemann Surfaces (Graduate Texts in Mathematics) Ful Film Apple Movie Trailer Lectures on Riemann Surfaces (Graduate Texts in Mathematics) online.

Items related to Riemann Surfaces (Oxford Graduate Texts in Mathematics). The theory of Riemann surfaces occupies a very special place in mathematics

Items related to Riemann Surfaces (Oxford Graduate Texts in Mathematics). Donaldson, Simon Riemann Surfaces (Oxford Graduate Texts in Mathematics). ISBN 13: 9780199606740.

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Start by marking Oxford Graduate Texts in Mathematics as Want to Read: Want to Read savin. ant to Read. Oxford Graduate Texts. by Simon K. Donaldson.

Oxford Graduate Texts in Mathematics. This graduate text on Riemann surface theory proves the fundamental analytical results on the existence of meromorphic functions and the Uniformisation Theorem. The topic stands at the centre of a number of key areas. Novel, innovative approach to the fundamental results.

Differential Geometry: Bundles, Connections, Metrics and Curvature (Oxford Graduate Texts in Mathematics) Clifford Henry Taubes, Hardback: 240 pages, Publisher: Oxford University . Basic books, 465020232.

Differential Geometry: Bundles, Connections, Metrics and Curvature (Oxford Graduate Texts in Mathematics) Clifford Henry Taubes, Hardback: 240 pages, Publisher: Oxford University Press, USA; (June 1, 2011), ISBN-13: 978-0199605880. Geometry of Time-spaces: Non-commutative Algebraic Geometry, Applied to Quantum Theory Olav Arnfinn Laudal, Hardcover: 160 pages, Publisher: World Scientific Publishing Company (March 31, 2011), ISBN-13: 978-9814343343. Complexity : a guided tour, Mitchell, Melanie Hardback: 349 s. Oxford university press, 195124415.

The theory of Riemann surfaces occupies a very special place in mathematics. 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.

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.
Arthunter
This is an outstanding introduction to the modern study of Riemann Surfaces. By focusing on low dimensions, Donaldson bridges the gap between elementary complex variables and the deeper topics of complex manifolds, cohomology, algebraic topology, vector bundles, sheaves and so forth. I'm using it for self-study and really appreciate the extent to which the author has gone to make the topic clear and enjoyable.
Lanadrta
I am partial to the Donaldson-style of mathematics and I very excitedly ordered a copy when I heard of it publication. This is an old subject, many treatises have been written about it, so what more can one expect from yet another monograph? I would say, that this book offers you Donaldson's perspective on the subject, always superbly clear and efficient, informed by the author's own extensive experience, and revealing the depths of the subject with an ease that would make Fred Astaire jealous. It has a geometric bias and it brings you from zero to where modern research begins. This is a good place to start if you want to learn about this subject that branches out into many other areas of mathematics and theoretical physics.
Wymefw
Amazing, I cannot recommend it highly enough.
Skyway
Excellent.
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