Complex Analysis: The Argument Principle in Analysis and Topology (Dover Books on Mathematics) - Softcover

Beardon, Alan

 
9780486837185: Complex Analysis: The Argument Principle in Analysis and Topology (Dover Books on Mathematics)
Softcover
ISBN 10: 0486837181 ISBN 13: 9780486837185
Verlag: Dover Publications Inc., 2019

Inhaltsangabe

With its emphasis on the argument principle in analysis and topology, this book represents a different approach to the teaching of complex analysis. The three-part treatment provides geometrical insights by covering angles, basic complex analysis, and interactions with plane topology while focusing on the concepts of angle and winding numbers.
Part I takes a critical look at the concept of an angle, illustrating that because a nonzero complex number varies continuously, one may select a continuously changing value of its argument. Part II builds upon this material, using the argument and its continuous variation as a tool in further studies and clarifying the complementary aspects of complex analysis and plane topology. Part III explores the link between the two subjects to their mutual benefit. The first two sections are intended for advanced undergraduates and graduate students in mathematics and contain sufficient material for a single course. The final section is geared toward the complex analyst and is intended to provide a foundation for further study.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Über die Autorin bzw. den Autor

Alan F. Beardon received his PhD from the University of London in 1964 and was Professor of Mathematics at the University of Cambridge from 1970 until he became Emeritus in 2007. His many books include A Primer on Riemann Surfaces, The Geometry of Discrete Groups, and Limits: A New Approach to Real Analysis.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Dover Publications Inc.
Erscheinungsdatum
2019
Sprache
Englisch
ISBN 10 
0486837181
ISBN 13 
9780486837185
Einband
Taschenbuch
Anzahl der Seiten
256
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Soc. Agr. La Raia Ss
http://www.la-raia.it

Strada Monterotondo, 79
Novi Ligure
15067
Italien

Weitere beliebte Ausgaben desselben Titels

9780471996712: Complex Analysis: The Argument Principle in Analysis and Topology

Vorgestellte Ausgabe

ISBN 10:  0471996718 ISBN 13:  9780471996712
Verlag: John Wiley & Sons Ltd, 1979
Softcover