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Classical Topics in Complex Function Theory (Graduate Texts in Mathematics (172)) by Reinhold Remmert (auth.) is a nonfiction available to read on EtoBox.

What is Classical Topics in Complex Function Theory (Graduate Texts in Mathematics (172)) about?

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 hi

Who reads Classical Topics in Complex Function Theory (Graduate Texts in Mathematics (172))?

Author

Reinhold Remmert (auth.)

Publisher

Springer-Verlag New York

Published

1998

Language

EN

ISBN

9781441931146

Category

nonfiction

Subjects

Mathematics, Stem