An Introduction to Riemann Surfaces

An Introduction to Riemann Surfaces
Author: Terrence Napier
Publisher: Springer Science & Business Media
Total Pages: 563
Release: 2011-09-08
Genre: Mathematics
ISBN: 0817646930

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This textbook presents a unified approach to compact and noncompact Riemann surfaces from the point of view of the so-called L2 $\bar{\delta}$-method. This method is a powerful technique from the theory of several complex variables, and provides for a unique approach to the fundamentally different characteristics of compact and noncompact Riemann surfaces. The inclusion of continuing exercises running throughout the book, which lead to generalizations of the main theorems, as well as the exercises included in each chapter make this text ideal for a one- or two-semester graduate course.


An Introduction to Riemann Surfaces
Language: en
Pages: 563
Authors: Terrence Napier
Categories: Mathematics
Type: BOOK - Published: 2011-09-08 - Publisher: Springer Science & Business Media

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This textbook presents a unified approach to compact and noncompact Riemann surfaces from the point of view of the so-called L2 $\bar{\delta}$-method. This meth
Compact Riemann Surfaces
Language: en
Pages: 304
Authors: Jürgen Jost
Categories: Mathematics
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media

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This book is novel in its broad perspective on Riemann surfaces: the text systematically explores the connection with other fields of mathematics. The book can
Introduction to Riemann Surfaces
Language: en
Pages: 309
Authors: George Springer
Categories: Mathematics
Type: BOOK - Published: 2001 - Publisher: Chelsea Publishing Company, Incorporated

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Covers the classical theory of abstract Riemann surfaces. This book presents the requisite function theory and topology for Riemann surfaces. It also covers dif
Algebraic Curves and Riemann Surfaces
Language: en
Pages: 414
Authors: Rick Miranda
Categories: Mathematics
Type: BOOK - Published: 1995 - Publisher: American Mathematical Soc.

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In this book, Miranda takes the approach that algebraic curves are best encountered for the first time over the complex numbers, where the reader's classical in
An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces
Language: en
Pages: 172
Authors: Martin Schlichenmaier
Categories: Mathematics
Type: BOOK - Published: 1989-01-11 - Publisher: Springer

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This lecture is intended as an introduction to the mathematical concepts of algebraic and analytic geometry. It is addressed primarily to theoretical physicists