Geometrija ničel polinoma in njegovega odvoda : delo diplomskega seminarja

Kovačec, Vid (author), Černe, Miran (mentor)

V tej diplomski nalogi bomo govorili o ničlah polinomov in njihovih odvodov - bolj natančno o geometriji ničel. Raziskovali bomo, kako so ničle polinomov in njihovih odvodov povezane in kakšne geometrijske lastnosti imajo.

• Language: Slovenian
• Keywords: polinomi, odvodi, ničle, geometrija ničel, algebraične krivulje, Rollejeve množice, Steinerjeva elipsa
• Work type: Bachelor thesis/paper
• Typology: 2.11 - Undergraduate Thesis
• Organization: FMF - Faculty of Mathematics and Physics
• Year: 2018
• PID: 20.500.12556/RUL-103674
• UDC: 512
• COBISS.SI-ID: 18475097
• Publication date in RUL: 21.09.2018

Secondary language

• Language: English
• Title: Geometry of zeros of a polynomial and it's derivative

Abstract

The main topic of this thesis is the geometry of the zeros of polynomials and their derivatives. We will explore, how the zeros of polynomials and their derivatives are linked and what type of geometric properties they have.

• Keywords: polynomials, derivatives, zeros, geometry of zeros, algebraic curves, Rolle sets, Steiner ellipse