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 
Table of Contents:
 1. The algebra of polynomials
 2. The degree principle and the fundamental theorem of algebra
 3. The Jacobian problem
 4. Analytic and harmonic functions in the unit disc
 5. Circular regions and Grace's theorem
 6. The IlieffSendov conjecture
 7. Selfinversive polynomials
 8. Duality and an extension of Grace's theorem to rational functions
 9. Real polynomials
 10. Level curves
 11. Miscellaneous topics.