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Classical Topics in Complex Function Theory

Language EnglishEnglish
Book Hardback
Book Classical Topics in Complex Function Theory Reinhold Remmert
Libristo code: 05248145
Publishers Springer, Berlin, August 2003
This book is an ideal text for an advanced course in the theory of complex functions. The author lea... Full description
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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; 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 C3; and Gauss's expert opinion of November 1851 on Riemann's dissertation. Remmert elegantly 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.

About the book

Full name Classical Topics in Complex Function Theory
Language English
Binding Book - Hardback
Date of issue 2003
Number of pages 350
EAN 9780387982212
ISBN 0387982213
Libristo code 05248145
Publishers Springer, Berlin
Weight 712
Dimensions 156 x 234 x 22
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