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Science/Engineering Classical Topics in Complex Function Theory

Posted on 2010-09-30




Name:Science/Engineering Classical Topics in Complex Function Theory
ASIN/ISBN:1441931147
File size:22.7 Mb
Publish Date: 2010
ISBN: 1441931147, 0387982213
Pages: 376 pages
File Type: PDF
File Size: 22,7 MB
Other Info: Springer New York
   Science/Engineering Classical Topics in Complex Function Theory

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Reinhold Remmert, Leslie Kay, "Classical Topics in Complex Function Theory"

This book is an ideal text for an advanced course in the theory of complex functions. The author successfully enables the reader to experience function theory personally and to participate in the work of the creative mathematician. Unlike the first volume, it contains numerous glimpses of the function theory of several complex variables emphasizing how autonomous this discipline has become. Covered are Weierstrass' product theorem, Mittag-Leffler's theorem, the Riemann mapping theorem, and Runge's theorems on approximations of analytic functions.

Remmert elegantly breaks the material down into small intelligible sections, with perfectly compact proofs and historical comments interwoven throughout the text. The abundance of examples, exercises, historical remarks (e.g. Gauss' review of Riemann's thesis), and an extensive list of references will make this book an invaluable source.

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