5 edition of **Lectures on Riemann surfaces** found in the catalog.

Lectures on Riemann surfaces

R. C. Gunning

- 137 Want to read
- 19 Currently reading

Published
**1966**
by Princeton University Press in Princeton, N.J
.

Written in English

- Riemann surfaces

**Edition Notes**

Statement | by R.C. Gunning. |

Series | Princeton mathematical notes |

Classifications | |
---|---|

LC Classifications | QA333 .G8 |

The Physical Object | |

Pagination | iv, 254 p. |

Number of Pages | 254 |

ID Numbers | |

Open Library | OL5534457M |

LC Control Number | 67011032 |

OCLC/WorldCa | 1226671 |

Historically, Riemann surfaces arose as graphs of analytic functions, with multiple values, de ned over domains in C. Inspired by this, we now give a precise de nition of a concrete Riemann surface; but we need a preliminary notion. 5. 2)): 2 @ C @ @. pact Riemann surfaces can be obtained as quotients ∆/G. Polyhedral surfaces as Riemann surfaces One can build a Riemann surface gluing together pieces of the complex plane C. Consider a ﬁnite set of disjoint polygons Fiand identify isometrically pairs of edges in such a way that the result is a compact oriented polyhedral surface P.

The final lectures are devoted to a single question: finding the expansion in complex coordinates for the hyperbolic metrics of surfaces near ∞ in. Two applications are considered, the curvature of the vertical line bundle of the universal curve, and the positivity of the pushdown of the square of the line bundle. Then the classification of Riemann surfaces is achieved on the basis of the fundamental group by the use of covering space theory and uniformisation. This reduces the study of Riemann surfaces to that of subgroups of Moebius transformations. The case of compact Riemann surfaces of genus 1, namely elliptic curves, is treated in detail.

Buen tratamiento del tema de Superficies de Riemann cerradas y abiertas. Nivel basico y entendible. Recomendable para una primera aproximancion al tema. Viene con ejercicios. Really good book, even for a first aproach to the topic of Riemann Surfaces. You just need basic background but you can also go further if you want. Good set of execises. Lectures on Riemann Surfaces by Robert C. Gunning, , available at Book Depository with free delivery worldwide.

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Lectures on Riemann Surfaces "A very attractive addition to the list in the form of a well-conceived and handsomely produced textbook based on several years' lecturing experience This book deserves very serious consideration as a text for anyone contemplating giving a course on Riemann by: This book grew out of lectures on Riemann surfaces which the author gave at the universities of Munich, Regensburg and Munster.

Its aim is to give an introduction to this rich and beautiful subject, while presenting methods from the theory of complex manifolds which, in the special case of one complex variable, turn out to be particularly elementary and : Springer-Verlag New York.

It also deals quite a bit with non-compact Riemann surfaces, but does include standard material on Abel's Theorem, the Abel-Jacobi map, etc. I would also recommend Griffiths's Introduction to Algebraic Curves — a beautiful text based on lectures.

Lectures on Riemann Surfaces "A very attractive addition to the list in the form of a well-conceived and handsomely produced textbook based on several years' lecturing experience This book deserves very serious consideration as a text for anyone contemplating giving a course on Riemann surfaces/5(2).

This book grew out of lectures on Riemann surfaces which the author gave at the universities of Munich, Regensburg and Munster. Its aim is to give an introduction to this rich and beautiful subject, while presenting methods from the theory of complex manifolds which, in the special case of one complex variable, turn out to be particularly elementary and transparent.

Lectures on Reimann Surfaces: 81 (Graduate Texts in Mathematics) by Otto Forster and a great selection of related books, art and collectibles available now at - Lectures on Riemann Surfaces by Forster, Otto - AbeBooks.

A sequel to Lectures on Riemann Surfaces (Mathematical Notes, ), this volume continues the discussion of the dimensions of spaces of holomorphic cross-sections of complex line bundles over compact Riemann surfaces.

Whereas the earlier treatment was limited to results obtainable chiefly by one-dimensional methods, the more detailed analysis Price: $ Lectures on Riemann Surfaces "A very attractive addition to the list in the form of a well-conceived and handsomely produced textbook based on several years' lecturing experience This book deserves very serious consideration as a text for anyone contemplating giving a course on Riemann : $ Frances Kirwan's book Complex Algebraic Curves has two really nice chapters on Riemann Surfaces and over all the level of the book is pretty decent to start with.

The book is intended to be accessible to advanced undergraduates so perhaps not as advanced as you'd like, but it is a good reference nonetheless. Download This book grew out of lectures on Riemann surfaces given by Otto Forster at the universities of Munich, Regensburg, and Münster.

It provides a concise modern introduction to this rewarding subject, as well as presenting methods used in the study of complex manifolds in the special case of complex dimension one. Based on the lectures on Riemann surfaces given by Otto Forster at the universities of Munich, Regensburg, and Munster, this book provides a modern introduction to this subject, presenting methods Read more.

Lectures on Riemann Surfaces is based on courses presented by Otto Forster at the universities of Munich, Regensburg, and Munster. The material presented herein corresponds roughly to three semesters of lectures, arranged in a flexible sequence involving a minimum of prerequisites.

This book grew out of lectures on Riemann surfaces which the author gave at the universities of Munich, Regensburg and Munster. Exercises from Lecture 6 ps-filepdf-file. A chapter of the Algebraic topology book by Allen Hatcher. Exercises from Lecture 13 ps-filepdf-file.

This book grew out of lectures on Riemann surfaces given by Otto Forster at the universities of Munich, Regensburg, and Münster.

It provides a concise modern introduction to this rewarding subject, as well as presenting methods used in the study of complex manifolds in the special case of complex dimension one. This book grew out of lectures on Riemann surfaces given by Otto Forster at the universities of Munich, Regensburg, and Munster.

It provides a concise modern introduction to this rewarding subject, as well as presenting methods used in the study of complex manifolds in the special case of complex dimension one/5(7). 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.

In mathematics, particularly in complex analysis, a Riemann surface is a one-dimensional complex surfaces were first studied by and are named after Bernhard n surfaces can be thought of as deformed versions of the complex plane: locally near every point they look like patches of the complex plane, but the global topology can be.

A sequel to Lectures on Riemann Surfaces (Mathematical Notes, ), this volume continues the discussion of the dimensions of spaces of holomorphic cross-sections of complex line bundles over compact Riemann surfaces.

Whereas the earlier treatment was limited to results obtainable chiefly by one-dimensional methods, the more detailed analysis.

Book Description: A sequel toLectures on Riemann Surfaces(Mathematical Notes, ), this volume continues the discussion of the dimensions of spaces of holomorphic cross-sections of complex line bundles over compact Riemann s the earlier treatment was limited to results obtainable chiefly by one-dimensional methods, the more detailed analysis.

Other articles where Riemann surface is discussed: analysis: Analysis in higher dimensions: was the concept of a Riemann surface. The complex numbers can be viewed as a plane (see Fluid flow), so a function of a complex variable can be viewed as a function on the plane. Riemann’s insight was that other surfaces can also be provided with complex coordinates, and.

Lectures on Riemann surfaces proceedings of the College on Riemann Surfaces, International Centre for Theoretical Physics, Trieste, Italy, 9 Nov Dec., by College on Riemann Surfaces (1st In Pages: An Introduction to Riemann Surfaces and Algebraic Curves: Complex 1-Tori and Elliptic Curves by Dr.

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