Skip to main content

Classical Topics in Complex Function Theory

0.0

ISBN

9781441931146

Classical Topics in Complex Function Theory is a mathematics, global analysis book by Reinhold Remmert.

About this book

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 Author

Reinhold Remmert is the author of Classical Topics in Complex Function Theory. Browse their full catalog on Booklogr.

Editions & Formats

Reviews

No reviews yet. Have you read this book? Share your thoughts with the Booklogr community.

Sign in Sign in to write a review

Frequently Asked Questions

What genre is Classical Topics in Complex Function Theory?+

Classical Topics in Complex Function Theory is a Mathematics, Global analysis, Functions of complex variables, Analysis book.

What is Classical Topics in Complex Function Theory 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 varia...

Who wrote Classical Topics in Complex Function Theory?+

Classical Topics in Complex Function Theory was written by Reinhold Remmert.