Sheil-Small, T. <br/><br/>
Complex polynomials 

 - Cambridge:  Cambridge University Press,  2009. 
 - xix, 428p. : ill. ;  pb,  23 cm. 
 - Cambridge studies in advanced mathematics ; 75 .
<br/><br/>Includes bibliographical references and index. 
<br/><br/> Melding together ideas from algebra, topology and analysis, 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. 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. 
<br/><br/><label>ISBN: </label>9780521102766 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Polynomials<br/>Functions of complex variables<br/>algebra of polynomials<br/>Jacobian problem<br/>Self-inversive polynomials
<br/><br/><label>Dewey Class. No.: </label>512.942  / SHE