Geometry of Riemann Surfaces

This book PDF is perfect for those who love Mathematics genre, written by William J. Harvey and published by Cambridge University Press which was released on 11 February 2010 with total hardcover pages 416. You could read this book directly on your devices with pdf, epub and kindle format, check detail and related Geometry of Riemann Surfaces books below.

Geometry of Riemann Surfaces
Author : William J. Harvey
File Size : 41,9 Mb
Publisher : Cambridge University Press
Language : English
Release Date : 11 February 2010
ISBN : 9780521733076
Pages : 416 pages
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Geometry of Riemann Surfaces by William J. Harvey Book PDF Summary

Original research and expert surveys on Riemann surfaces.

Geometry and Spectra of Compact Riemann Surfaces

This monograph is a self-contained introduction to the geometry of Riemann Surfaces of constant curvature –1 and their length and eigenvalue spectra. It focuses on two subjects: the geometric theory of compact Riemann surfaces of genus greater than one, and the relationship of the Laplace operator with the geometry of such

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Riemann Surfaces by Way of Complex Analytic Geometry

This book establishes the basic function theory and complex geometry of Riemann surfaces, both open and compact. Many of the methods used in the book are adaptations and simplifications of methods from the theories of several complex variables and complex analytic geometry and would serve as excellent training for mathematicians

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Algebraic Curves and Riemann Surfaces

The book was easy to understand, with many examples. The exercises were well chosen, and served to give further examples and developments of the theory. --William Goldman, University of Maryland In this book, Miranda takes the approach that algebraic curves are best encountered for the first time over the complex

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Riemann Surfaces

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 material from global analysis, topology, and algebraic geometry, and covers the essential mathematical methods and tools.

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Geometry of Riemann Surfaces and Teichm  ller Spaces

The moduli problem is to describe the structure of the space of isomorphism classes of Riemann surfaces of a given topological type. This space is known as the moduli space and has been at the center of pure mathematics for more than a hundred years. In spite of its age,

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Topological  Differential and Conformal Geometry of Surfaces

This book provides an introduction to the main geometric structures that are carried by compact surfaces, with an emphasis on the classical theory of Riemann surfaces. It first covers the prerequisites, including the basics of differential forms, the Poincaré Lemma, the Morse Lemma, the classification of compact connected oriented surfaces,

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Compact Riemann Surfaces

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 serve as an introduction to contemporary mathematics as a whole, as it develops background material from algebraic topology, differential geometry, the calculus of variations, elliptic

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