Complex polynomials [EBook] / T. SheilSmall.
Complex polynomials [EBook] / T. SheilSmall.
This book studies the geometric theory of polynomials and rational functions in the plane. Any theory in the plane should make full use of the complex numbers and thus the early chapters build the foundations of complex variable theory, melding together ideas from algebra, topology and analysis. In...
Personal Name(s):  SheilSmall, T., (author) 

Imprint: 
Cambridge :
Cambridge University Press,
2002

Physical Description: 
1 online resource (xix, 428 pages) 
Note: 
englisch 
ISBN: 
9780521400688 9780521102766 9780511543074 
Series Title: 
Cambridge studies in advanced mathematics ;
75 
Subject (LOC):  
Full Text 
This book studies the geometric theory of polynomials and rational functions in the plane. Any theory in the plane should make full use of the complex numbers and thus the early chapters build the foundations of complex variable theory, melding together ideas from algebra, topology and analysis. In fact, 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, bearing in mind that such problems indicate the current limitations of our knowledge and present challenges for the future. However, theories also lead to solutions of some problems and several such solutions are given including a comprehensive account of the geometric convolution theory. This is an ideal reference for graduate students and researchers working in this area. 