Description

Book Synopsis

The theory of Riemann surfaces has a geometric and an analytic part. The former deals with the axiomatic definition of a Riemann surface, methods of construction, topological equivalence, and conformal mappings of one Riemann surface on another. The analytic part is concerned with the existence and properties of functions that have a special charac



Table of Contents
*Frontmatter, pg. i*Preface, pg. v*Contents, pg. vii*Chapter I. Surface Topology, pg. 1*Chapter II. Riemann Surfaces, pg. 112*Chapter III. Harmonic Functions on Riemann Surfaces, pg. 148*Chapter IV. Classification Theory, pg. 196*Chapter V. Differentials on Riemann Surfaces, pg. 265*Bibliography, pg. 332*Index, pg. 374

Riemann Surfaces

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A Paperback / softback by Lars Valerian Ahlfors, Leo Sario

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    View other formats and editions of Riemann Surfaces by Lars Valerian Ahlfors

    Publisher: Princeton University Press
    Publication Date: 08/12/2015
    ISBN13: 9780691626123, 978-0691626123
    ISBN10: 069162612X
    Also in:
    Functional analysis and transforms

    Description

    Book Synopsis

    The theory of Riemann surfaces has a geometric and an analytic part. The former deals with the axiomatic definition of a Riemann surface, methods of construction, topological equivalence, and conformal mappings of one Riemann surface on another. The analytic part is concerned with the existence and properties of functions that have a special charac



    Table of Contents
    *Frontmatter, pg. i*Preface, pg. v*Contents, pg. vii*Chapter I. Surface Topology, pg. 1*Chapter II. Riemann Surfaces, pg. 112*Chapter III. Harmonic Functions on Riemann Surfaces, pg. 148*Chapter IV. Classification Theory, pg. 196*Chapter V. Differentials on Riemann Surfaces, pg. 265*Bibliography, pg. 332*Index, pg. 374

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