Autor: Terrence Napier
ISBN-13: 9780817646929
Einband: Book
Seiten: 560
Gewicht: 1023 g
Format: 246x167x37 mm
Sprache: Englisch

An Introduction to Riemann Surfaces

Cornerstones
 Book
72,96 €*
This textbook presents a unified approach to compact and noncompact Riemann surfaces from the point of view of the so-called L2 $ar{delta}$-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.
Preface.- Introduction.- Complex analysis in C.- Riemann Surfaces and the L2 delta-Method for Scalar-Valued Forms.- The L2 delta-Method in a Holomorphic Line Bundle.- Compact Riemann Surfaces.- Uniformization and Embedding of Riemann Surfaces.-Holomorphic Structures on Topological Surfaces.- Background Material on Analysis in Rn and Hilbert Space Theory.- Background Material on Linear Algebra.- Background Material on Manifolds.- Background Material on Fundamental Groups, Covering Spaces, and (Co)homology.- Background Material on Sobolev Spaces and Regularity.- References.- Notation Index.- Subject Index.
This textbook presents a unified approach to compact and noncompact Riemann surfaces from the point of view of the so-called L2 $ar{delta}$-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.
Autor: Terrence Napier
ISBN-13 :: 9780817646929
ISBN: 0817646922
Erscheinungsjahr: 01.09.2011
Verlag: Springer Basel AG
Gewicht: 1023g
Seiten: 560
Sprache: Englisch
Sonstiges: Buch, 246x167x37 mm, 42 schwarz-weiße Abbildungen

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