Riemann Surfaces (Oxford Graduate Texts in Mathematics)

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9780199606740: Riemann Surfaces (Oxford Graduate Texts in Mathematics)
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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.

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Simon Donaldson
Editorial: Oxford University Press, United Kingdom (2011)
ISBN 10: 0199606749 ISBN 13: 9780199606740
Nuevos Paperback Cantidad: 10
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The Book Depository
(London, Reino Unido)
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Descripción Oxford University Press, United Kingdom, 2011. Paperback. Estado de conservación: New. 230 x 152 mm. Language: English . Brand New Book. 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. Nº de ref. de la librería AOP9780199606740

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Simon Donaldson
Editorial: Oxford University Press, United Kingdom (2011)
ISBN 10: 0199606749 ISBN 13: 9780199606740
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The Book Depository US
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Descripción Oxford University Press, United Kingdom, 2011. Paperback. Estado de conservación: New. 230 x 152 mm. Language: English . Brand New Book. 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. Nº de ref. de la librería AOP9780199606740

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Descripción Estado de conservación: New. Depending on your location, this item may ship from the US or UK. Nº de ref. de la librería 97801996067400000000

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Donaldson, Simon
Editorial: OUP Oxford 2011-03-24 (2011)
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Descripción OUP Oxford 2011-03-24, 2011. Estado de conservación: New. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Nº de ref. de la librería NU-LBR-00902536

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Simon K. Donaldson
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ISBN 10: 0199606749 ISBN 13: 9780199606740
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Descripción Oxford University Press 2011-03-24, Oxford, 2011. paperback. Estado de conservación: New. Nº de ref. de la librería 9780199606740

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Descripción OUP Oxford, 2011. PAP. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería FU-9780199606740

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Descripción Oxford University Press Mrz 2011, 2011. Taschenbuch. Estado de conservación: Neu. 237x159x22 mm. Neuware - 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 286 pp. Englisch. Nº de ref. de la librería 9780199606740

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Simon Donaldson
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Descripción Oxford University Press Mrz 2011, 2011. Taschenbuch. Estado de conservación: Neu. 237x159x22 mm. Neuware - 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 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. 286 pp. Englisch. Nº de ref. de la librería 9780199606740

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Donaldson, Simon
Editorial: OUP Oxford (2011)
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Descripción OUP Oxford, 2011. Estado de conservación: New. Nº de ref. de la librería L9780199606740

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Simon Donaldson
Editorial: Oxford University Press Mrz 2011 (2011)
ISBN 10: 0199606749 ISBN 13: 9780199606740
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Descripción Oxford University Press Mrz 2011, 2011. Taschenbuch. Estado de conservación: Neu. 237x159x22 mm. Neuware - 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 286 pp. Englisch. Nº de ref. de la librería 9780199606740

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