Complex polynomials [E-Book] / T. Sheil-Small.
Sheil-Small, T., (author)
Cambridge : Cambridge University Press, 2002
1 online resource (xix, 428 pages)
englisch
9780521400688
9780521102766
9780511543074
Cambridge studies in advanced mathematics ; 75
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 Ilieff-Sendov conjecture
  • 7. Self-inversive polynomials
  • 8. Duality and an extension of Grace's theorem to rational functions
  • 9. Real polynomials
  • 10. Level curves
  • 11. Miscellaneous topics.