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Geometry of Polynomials
About this Title
Morris Marden
Publication: Mathematical Surveys and Monographs
Publication Year:
1949; Volume 3
ISBNs: 978-0-8218-1503-8 (print); 978-1-4704-1230-2 (online)
DOI: https://doi.org/10.1090/surv/003
Table of Contents
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Front/Back Matter
Chapters
- I. Introduction
- II. The critical points of a polynomial
- III. Invariantive formulation
- IV. Composite polynomials
- V. The critical points of a rational function which has its zeros and poles in prescribed circular regions
- VI. The critical points of a polynomial which has only some prescribed zeros
- VII. Bounds for the zeros as functions of all the coefficients
- VIII. Bounds for $p$ zeros as functions of $p$ + 1 coefficients
- IX. The number of zeros in a half-plane or a sector
- X. The number of zeros in a given circle