The Bieberbach Conjecture / Edition 1

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Brand new. We distribute directly for the publisher. Clean, unmarked pages. Hardcover. In 1919, Bieberbach posed a seemingly simple conjecture. That "simple" conjecture ... challenged mathematicians in complex analysis for the following 68 years! In that time, a huge number of papers discussing the conjecture and its related problems were inspired. Finally in 1984, de Branges completed the solution.In 1989, Professor Gong wrote and published a short book in Chinese, The Bieberbach Conjecture, outlining the history of the related problems and de Branges' proof. The present volume is the English translation of that Chinese edition with modifications by the author. In particular, he includes results related to several complex variables. Open problems and a large number of new mathematical results motivated by the Bieberbach conjecture are included.Completion of a standard one-year graduate complex analysis course will prepare the reader for understanding the book. It would make a nice supplementary text for a topics course at the advanced undergraduate or graduate level.Table of Contents * Introduction * L????wner theory * Grunsky inequality * De Branges theorem * Several complex variable cases * References * List of symbols * Index Read more Show Less

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More About This Textbook

Overview

In 1919, Bieberbach posed a seemingly simple conjecture. That ''simple'' conjecture challenged mathematicians in complex analysis for the following 68 years! In that time, a huge number of papers discussing the conjecture and its related problems were inspired. Finally in 1984, de Branges completed the solution. In 1989, Professor Gong wrote and published a short book in Chinese, The Bieberbach Conjecture, outlining the history of the related problems and de Branges' proof. The present volume is the English translation of that Chinese edition with modifications by the author. In particular, he includes results related to several complex variables. Open problems and a large number of new mathematical results motivated by the Bieberbach conjecture are included. Completion of a standard one-year graduate complex analysis course will prepare the reader for understanding the book. It would make a nice supplementary text for a topics course at the advanced undergraduate or graduate level.

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Editorial Reviews

Booknews
A revised translation of a 1989 work published in Chinese by Science Press. The author is one of the founders of modern complex analysis in China, and three of his other books have also been translated into English. Gong tells the story of the Bieberbach Conjecture by presenting a large sample of the mathematical results it inspired; and these results, interesting in themselves, also comprise a case study in the development of mathematics. This self-contained work is accessible to those who know the standard material in a one-year graduate complex analysis course. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780821806555
  • Publisher: American Mathematical Society
  • Publication date: 1/1/1999
  • Series: AMS/IP Studies in Advanced Mathematics Series , #12
  • Edition number: 1
  • Pages: 201
  • Product dimensions: 7.20 (w) x 10.20 (h) x 0.70 (d)

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