Książka Complex Dynamics Lennart Carleson

Complex Dynamics

Język: Angielski
Oprawa: Miękka
Wydawca: Springer, Berlin
Dostępność: Dostępna u dostawcy
Wysyłamy za 5-8 dni
310.95
Complex Dynamics discusses the properties of conformal mappings in the complex plane, a subject that...

Informacje o książce

Język
Angielski
Oprawa
Książka - Miękka
Data wydania
1996
strony
192
EAN
9780387979427
ISBN
0387979425
Enbook ID
01385368
Waga
298
Wymiary
155 x 233 x 11

Pełny opis

Complex Dynamics discusses the properties of conformal mappings in the complex plane, a subject that is closely connected to the study of fractals and chaos. Indeed the culmination of the book is a detailed study of the famous Mandelbrot set, which describes very general properties of such mappings. The book focuses on the analytic side of this contemporary subject. The text was developed out of a course taught over several semesters; its focus is 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 (the Julia set), classification of periodic components, critical points and expanding maps, some applications of conformal mappings (e.g. Hermann rings), the local geometry of the Fatou set, and quadratic polynomials and the Mandelbrot set.

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