Complex Polynomials (Cambridge Studies in Advanced Mathematics, Series Number 75) - Hardcover

Sheil-Small, T.

Hardcover

ISBN 10: 0521400686 ISBN 13: 9780521400688

Publisher: Cambridge University Press, 2002

Synopsis

Complex Polynomials explores the geometric theory of polynomials and rational functions in the plane. Early chapters build the foundations of complex variable theory, melding together ideas from algebra, topology, and analysis. Throughout the book, the author introduces a variety of ideas and constructs theories around them, incorporating much of the classical theory of polynomials as he proceeds. These ideas are used to study a number of unsolved problems. Several solutions to problems are given, including a comprehensive account of the geometric convolution theory.

About this title

Book Description:

This book studies the geometric theory of polynomials and rational functions in the plane. The early chapters build the foundations of complex variable theory, melding together ideas from algebra, topology and analysis. The theory is carefully contructed bearing in mind the needs of graduate students. Several unsolved problems are presented as well as the full solutions to some well known conjectures. As such this is an ideal reference for graduate students and researchers working in this area.

Review:

"...a very welcome addition to the literature dealing with polynomials. ...will be invaluable to researchers and accessible to non-experts as well. I recommend it enthusiastically." Mathematical Reviews

"As both focused study and a joyride across the expanse of modern mathematics, this compilation of results by Sheil-Small would prject polynomial mathematics as a cohesive subject all its own.... Highly recommended." Choice

About this edition

• Publisher: Cambridge University Press
• Publication date: 2002
• ISBN 10: 0521400686
• ISBN 13: 9780521400688
• Binding: Hardcover
• Edition number: 1
• Number of pages: 452