A Course in Complex Analysis in One Variable

ISBN-13: 9789810247805 / Angielski / Twarda / 2002 / 160 str.

Martin Moskowitz

Opis

Complex analysis presents completely unforeseen results that are of a dramatic, even magical, nature. This manual is designed to convey its excitement and extraordinary character to the student. The exposition presents basic complex analysis in around 130 pages, with about 50 exercises. The material constantly relates to and contrasts with that of its sister subject, real analysis. An unusual feature of this book is a short final chapter containing applications of complex analysis to Lie theory. Since much of the content originated in a one-semester course given at the CUNY Graduate Center, the text should be very suitable for first year graduate students in mathematics who want to learn the basics of this important subject. For advanced undergraduates, there should be enough material for a year-long course or, by concentrating on the first three chapters, for one-semester course.