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Classical Topics in Complex Function Theory

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ISBN

9781441931146

Classical Topics in Complex Function Theory è un mathematics, global analysis book di Reinhold Remmert.

Informazioni su questo libro

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.

Sull'Autore

Reinhold Remmert è l'autore di Classical Topics in Complex Function Theory. Esplora il suo catalogo completo su Booklogr.

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Domande Frequenti

Di che genere è Classical Topics in Complex Function Theory?+

Classical Topics in Complex Function Theory è un libro di Mathematics, Global analysis, Functions of complex variables, Analysis.

Di cosa parla Classical Topics in Complex Function Theory?+

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 varia...

Chi ha scritto Classical Topics in Complex Function Theory?+

Classical Topics in Complex Function Theory è stato scritto da Reinhold Remmert.