T. Sheil-Small

Complex Polynomials

• Broschiertes Buch

Produktbeschreibung

This book studies the geometric theory of polynomials and rational functions in the plane.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 452
• Erscheinungstermin: 31. Oktober 2008
• Englisch
• Abmessung: 229mm x 152mm x 26mm
• Gewicht: 729g
• ISBN-13: 9780521102766
• ISBN-10: 0521102766
• Artikelnr.: 25854925

Inhaltsangabe

Preface
List of notation
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
References
Index.