Product Description
Most mathematicians first encounter normal families of functions through their application in the familiar proof of the Riemann mapping theorem. However, as this fine book demonstrates, normal families have many other roles to play in complex analysis. In particular, Montel covers normal families of meromorphic functions, holomorphic functions of several variables, systems of holomorphic functions, plus other interesting results about normal families of holomorphic functions of one variable. Along the way, Montel has interspersed some appealing proofs of sometimes familiar results, such as Borel's theorem on meromorphic functions and the Picard theorem. Although some of these methods have been supplanted by a more geometric point of view, it is worthwhile to get a glimpse of this older approach to complex analysis. ... Read more

Product Description
This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

Product Description
This volume is produced from digital images from the Cornell University Library Historical Mathematics Monographs collection. ... Read more