Classical Topics in Complex Function Theory Hardcover - 1997 - 1st Edition
by Reinhold Remmert; L. D. Kay (Translator)
From the rear cover
This book is an ideal text for an advanced course in the theory of complex functions. The author leads the reader to experience function theory personally and to participate in the work of the creative mathematician. The book contains numerous glimpses of the function theory of several complex variables, which illustrate how autonomous this discipline has become. Topics covered include Weierstrass's product theorem, Mittag-Leffler's theorem, the Riemann mapping theorem, and Runge's theorems on approximation of analytic functions. In addition to these standard topics, the reader will find Eisenstein's proof of Euler's product formula for the sine function; Wielandt's uniqueness theorem for the gamma function and applications; a detailed discussion of Stirling's formula; Iss'sa's theorem; Besse's proof that all domains in C are domains of holomorphy; Wedderburn's lemma and the ideal theory of rings of holomorphic functions; Estermann's proofs of the overconvergence theorem and Bloch's theorem; a holomorphic imbedding of the unit disc in C(superscript 3); and Gauss's expert opinion of November 1851 on Riemann's dissertation. Remmert presents the material in short clear sections, with compact proofs and historical comments interwoven throughout the text. The abundance of examples, exercises, and historical remarks, as well as the extensive bibliography, will make this book an invaluable source for students and teachers.
Details
- Title Classical Topics in Complex Function Theory
- Author Reinhold Remmert; L. D. Kay (Translator)
- Binding Hardcover
- Edition number 1st
- Edition 1
- Pages 352
- Volumes 1
- Language ENG
- Publisher Springer, Secaucus, New Jersey, U.S.A.
- Date 1997-11-14
- Features Bibliography, Index, Maps
- ISBN 9780387982212 / 0387982213
- Weight 1.55 lbs (0.70 kg)
- Dimensions 9.5 x 6.41 x 0.89 in (24.13 x 16.28 x 2.26 cm)
- Library of Congress subjects Functions of complex variables
- Library of Congress Catalog Number 97010091
- Dewey Decimal Code 515.9
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by Remmert, Reinhold; Kay, L.D. [Translator]
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