دانلود کتاب Complex Dynamics

Name: Complex Dynamics
Availability: InStock
Author: Lennart Carleson
ISBN: 0387979425, 9780387979427, 3540979425, 97835409794

by Lennart Carleson

عنوان فارسی: دینامیک مجتمع
ناشر: Springer
سال: 1993
ویرایش: Corrected
زبان: انگلیسی
تعداد صفحه (نسخه چاپی - نسخه الکترونیکی): 186
شابک: 0387979425, 9780387979427, 3540979425, 97835409794
نوع فایل: PDF دانلود نرم افزار مطالعه
حجم: 5.00 مگابایت

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جزییات کتاب

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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