Ahlfors / Sario Riemann Surfaces

(PMS-26)
Erscheinungsjahr 2016
ISBN: 978-1-4008-7453-8
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 398 Seiten

Reihe: Princeton Mathematical Series

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 character connected with the conformal structure, for instance: subharmonic, harmonic, and analytic functions.

Originally published in 1960.

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Autoren/Hrsg.

Ahlfors, Lars Valerian

Sario, Leo

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein

Inhaltsverzeichnis

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