Dynamics of Entire Functions : The Fractal Sets of Julia and Mandelbrot / Cándido Piñeiro.

Format:

Book

Author/Creator:

Piñeiro, Cándido, author.

Series:

De Gruyter textbook.

De Gruyter Textbook Series

Language:

English

Subjects (All):

Differentiable dynamical systems.

Differential equations.

Physical Description:

1 online resource (218 pages)

Edition:

First edition.

Place of Publication:

Berlin, Germany : Walter de Gruyter GmbH, [2025]

Summary:

There are very few systematic books on the dynamics of entire functions.Unfortunately, reading these books is often difficult for non-specialists since their proofs are not clearly written, and readers struggle to understand the arguments fully.This book is a comprehensive introduction to the iteration theory of entire complex functions.

Contents:

Intro

Preface

Contents

List of Special Symbols

1 Introduction

2 Normal families

3 Value distribution theory

4 Periodic points

5 Local conjugacy

6 The Fatou and Julia sets

7 Fatou components

8 Singular values

9 The exponential family

10 The parameter plane

11 Convergence and dynamics

A Univalent functions in the disc

B The Newton method

C Computer graphics of complex dynamics

D Hints to selected exercises

Bibliography

Index.

Notes:

Includes bibliographical references and index.

Description based on publisher supplied metadata and other sources.

Description based on print version record.

ISBN:

9783111689685

3111689689

OCLC:

1504151497