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Normal families

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Synopses & Reviews

Publisher Comments:

This is the first book devoted solely to the subject of normal families of analytic and meromorphic functions since the 1927 treatise of Paul Montel. A considerable body of research has evolved since then, and this text provides a comprehensive treatment of the entire theory. Since its inception early this century, the notion of a normal family has played a central role in the development of complex function theory. In fact, it is a concept lying at the very heart of the subject, weaving a line of thought through Picard's theorems, Schottky's theorem, the Riemann mapping theorem, to many modern results on meromorphic functions via the Bloch principle. It is this latter which has provided considerable impetus over the years to the study of normal families, and continues to serve as a guiding hand to future work. Numerous applications of the normal family theory are discussed, particularly those found in the study of extremal problems, normal functions, harmonic functions, discontinuous groups, and complex dynamical systems. Only a basic knowledge of complex analysis and topology is assumed. All other necessary material for the study of the subject is included in the first chapter. The scope of the book ranges from advanced undergraduate to research level.

Book News Annotation:

The first book entirely on the subject of normal families of analytic and meromorphic functions since the 1927 treatise by Montel. The concept of the normal family lies at the heart of complex function theory. Numerous applications are discussed, particularly those found in the study of extremal problems, normal functions, harmonic functions, discontinuous groups, and complex dynamical systems. Montel, Riemann mapping, Picard, Schottky, Julia, and Marty theorems are covered.
Annotation c. Book News, Inc., Portland, OR (booknews.com)

Product Details

ISBN:
9780387979670
Author:
Schiff, Joel L.
Publisher:
Springer
Location:
New York, NY
Subject:
Calculus
Subject:
Mathematical Analysis
Subject:
Analytic functions
Subject:
Functions, Meromorphic.
Subject:
Analysis
Subject:
Mathematics-Calculus
Subject:
Mathematics
Subject:
The Arts
Subject:
mathematics and statistics
Subject:
Global analysis (Mathematics)
Copyright:
Edition Number:
1
Edition Description:
Book
Series:
Universitext
Publication Date:
March 1993
Binding:
TRADE PAPER
Language:
English
Pages:
248
Dimensions:
235 x 155 mm 790 gr

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Related Subjects

Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » Geometry » Algebraic Geometry

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Product details 248 pages Springer-Verlag,c1993. - English 9780387979670 Reviews:
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