Complex Dynamics (Universitext / Universitext: Tracts in Mathematics) - Carleson, Lennart

Complex Dynamics (Universitext / Universitext: Tracts in Mathematics)

Lennart Carleson

Yayınevi: Springer

Yayın tarihi: 02/1996

ISBN: 9780387979427

Yazar : Theodore W. Gamelin

İngilizce | 192 Sayfa | 15,62x23,47x1,32 cm.

Tür: Matematik-İstatistik

  • Temin Süresi 49 - 63 iş günü

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A discussion of the properties of conformal mappings in the complex plane, closely related to the study of fractals and chaos. Indeed, the book ends in a detailed study of the famous Mandelbrot set, which describes very general properties of such mappings. Focusing on the analytic side of this contemporary subject, the text was developed from a course taught over several semesters and aims to help students and instructors to familiarize themselves with complex dynamics. Topics covered include: conformal and quasi-conformal mappings, fixed points and conjugations, basic rational iteration, classification of periodic components, critical points and expanding maps, some applications of conformal mappings, the local geometry of the Fatou set, and quadratic polynomials and the Mandelbrot set.

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