Complex Analysis in One Variable

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Beschreibung

The original edition of this book has been out of print for some years. The appear ance of the present second edition owes much to the initiative of Yves Nievergelt at Eastern Washington University, and the support of Ann Kostant, Mathematics Editor at Birkhauser. Since the book was first published, several people have remarked on the absence of exercises and expressed the opinion that the book would have been more useful had exercises been included. In 1997, Yves Nievergelt informed me that, for a decade, he had regularly taught a course at Eastern Washington based on the book, and that he had systematically compiled exercises for his course. He kindly put his work at my disposal. Thus, the present edition appears in two parts. The first is essentially just a reprint of the original edition. I have corrected the misprints of which I have become aware (including those pointed out to me by others), and have made a small number of other minor changes.

Inhaltsverzeichnis

I Complex Analysis in One Variable.- 1 Elementary Theory of Holomorphic Functions.- 2 Covering Spaces and the Monodromy Theorem.- 3 The Winding Number and the Residue Theorem.- 4 Picard's Theorem.- 5 Inhomogeneous Cauchy-Riemann Equation and Runge's Theorem.- 6 Applications of Runge's Theorem.- 7 Riemann Mapping Theorem and Simple Connectedness in the Plane.- 8 Functions of Several Complex Variables.- 9 Compact Riemann Surfaces.- 10 The Corona Theorem.- 11 Subharmonic Functions and the Dirichlet Problem.- II Exercises.- 0 Review of Complex Numbers.- 1 Elementary Theory of Holomorphic Functions.- 2 Covering Spaces and the Monodromy Theorem.- 3 The Winding Number and the Residue Theorem.- 4 Picard's Theorem.- 5 The Inhomogeneous Cauchy-Riemann Equation and Runge's Theorem.- 6 Applications of Runge's Theorem.- 7 The Riemann Mapping Theorem and Simple Connectedness in the Plane.- 8 Functions of Several Complex Variables.- 9 Compact Riemann Surfaces.- 10 The Corona Theorem.- 11 Subharmonic Functions and the Dirichlet Problem.- Notes for the exercises.- References for the exercises.

Details

Erscheinungsjahr:	2012
Fachbereich:	Analysis
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xiv 381 S.
ISBN-13:	9781461266471
ISBN-10:	1461266475
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Nievergelt, Yves Narasimhan, Raghavan
Auflage:	2nd ed. 2001. Softcover reprint of the original 2nd ed. 2001
Hersteller:	Birkhuser Boston Birkhäuser Boston
Maße:	235 x 155 x 22 mm
Von/Mit:	Yves Nievergelt (u. a.)
Erscheinungsdatum:	21.10.2012
Gewicht:	0,604 kg

Artikel-ID: 105649608

Inhaltsverzeichnis

Details

Erscheinungsjahr:	2012
Fachbereich:	Analysis
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xiv 381 S.
ISBN-13:	9781461266471
ISBN-10:	1461266475
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Nievergelt, Yves Narasimhan, Raghavan
Auflage:	2nd ed. 2001. Softcover reprint of the original 2nd ed. 2001
Hersteller:	Birkhuser Boston Birkhäuser Boston
Maße:	235 x 155 x 22 mm
Von/Mit:	Yves Nievergelt (u. a.)
Erscheinungsdatum:	21.10.2012
Gewicht:	0,604 kg