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BeschreibungThis book studies the geometric theory of polynomials and rational functions in the plane.
InhaltsverzeichnisPreface; 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.
Pressestimmen"...a very welcome addition to the literature dealing with polynomials. ...will be invaluable to researchers and accessible to non-experts as well. I recommend it enthusiastically." Mathematical Reviews "As both focused study and a joyride across the expanse of modern mathematics, this compilation of results by Sheil-Small would prject polynomial mathematics as a cohesive subject all its own... Highly recommended." Choice
Untertitel: 'Cambridge Studies in Advanced'. Sprache: Englisch.
Verlag: CAMBRIDGE UNIV PR
Erscheinungsdatum: Oktober 2007
Seitenanzahl: 428 Seiten