Topics in Complex Analysis

Topics in Complex Analysis
Author :
Publisher : Springer Science & Business Media
Total Pages : 174
Release :
ISBN-10 : 038794754X
ISBN-13 : 9780387947549
Rating : 4/5 (549 Downloads)

Book Synopsis Topics in Complex Analysis by : Mats Andersson

Download or read book Topics in Complex Analysis written by Mats Andersson and published by Springer Science & Business Media. This book was released on 1996-11-15 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an outgrowth of lectures given on several occasions at Chalmers University of Technology and Goteborg University during the last ten years. As opposed to most introductory books on complex analysis, this one as sumes that the reader has previous knowledge of basic real analysis. This makes it possible to follow a rather quick route through the most fundamen tal material on the subject in order to move ahead to reach some classical highlights (such as Fatou theorems and some Nevanlinna theory), as well as some more recent topics (for example, the corona theorem and the HI_ BMO duality) within the time frame of a one-semester course. Sections 3 and 4 in Chapter 2, Sections 5 and 6 in Chapter 3, Section 3 in Chapter 5, and Section 4 in Chapter 7 were not contained in my original lecture notes and therefore might be considered special topics. In addition, they are completely independent and can be omitted with no loss of continuity. The order of the topics in the exposition coincides to a large degree with historical developments. The first five chapters essentially deal with theory developed in the nineteenth century, whereas the remaining chapters contain material from the early twentieth century up to the 1980s. Choosing methods of presentation and proofs is a delicate task. My aim has been to point out connections with real analysis and harmonic anal ysis, while at the same time treating classical complex function theory.


Topics in Complex Analysis Related Books

Topics in Complex Analysis
Language: en
Pages: 174
Authors: Mats Andersson
Categories: Mathematics
Type: BOOK - Published: 1996-11-15 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This book is an outgrowth of lectures given on several occasions at Chalmers University of Technology and Goteborg University during the last ten years. As oppo
A Collection of Problems on Complex Analysis
Language: en
Pages: 450
Authors: Lev Izrailevich Volkovyski?
Categories: Mathematics
Type: BOOK - Published: 1991-01-01 - Publisher: Courier Corporation

DOWNLOAD EBOOK

Over 1500 problems on theory of functions of the complex variable; coverage of nearly every branch of classical function theory. Topics include conformal mappin
Complex Analysis and Special Topics in Harmonic Analysis
Language: en
Pages: 491
Authors: Carlos A. Berenstein
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

A companion volume to the text "Complex Variables: An Introduction" by the same authors, this book further develops the theory, continuing to emphasize the role
Complex Analysis with Applications
Language: en
Pages: 501
Authors: Nakhlé H. Asmar
Categories: Mathematics
Type: BOOK - Published: 2018-10-12 - Publisher: Springer

DOWNLOAD EBOOK

This textbook is intended for a one semester course in complex analysis for upper level undergraduates in mathematics. Applications, primary motivations for thi
A Complex Analysis Problem Book
Language: en
Pages: 592
Authors: Daniel Alpay
Categories: Mathematics
Type: BOOK - Published: 2016-10-26 - Publisher: Birkhäuser

DOWNLOAD EBOOK

This second edition presents a collection of exercises on the theory of analytic functions, including completed and detailed solutions. It introduces students t