Complex Polynomials

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

Produktdetails

• Autoren: Small T. Sheil, T. Sheil-Small
• Mitarbeit: Bela Bollobas (Herausgeber), W. Fulton (Herausgeber)
• Verlag: Cambridge University Press Academic
• Sprache: Englisch
• Produktform: Fester Einband
• Erschienen: 07.11.2002
• EAN: 9780521400688
• ISBN: 978-0-521-40068-8
• Abmessung: 155 mm x 235 mm x 25 mm
• Serie: Cambridge Studies in Advanced
• Thema: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Arithmetik, Algebra