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Iteration of Rational Functions: Complex Analytic Dynamical ...

Iteration of Rational Functions: Complex Analytic Dynamical ...

Alan F. Beardon

This book focuses on complex analytic dynamics, which dates from 1916 and is currently attracting considerable interest.
Geometric Group Theory:

Geometric Group Theory:

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Alan F. Beardon Department of Mathematics and Mathematical Statistics, University of Cambridge, 16 Mill Lane, Cambridge, CB2 1SB. 1. Introduction We begin by considering two familiar ways of constructing Riemann surfaces. First, we takeĀ ...
Mathematical Explorations

Mathematical Explorations

Alan F. Beardon

Mathematical Explorations follows on from the author's previous book, Creative Mathematics, in the same series, and gives the reader experience in working on problems requiring a little more mathematical maturity.
Algebra and Geometry

Algebra and Geometry

Alan F. Beardon

To aid in this, the text is divided into short chapters, each with exercises at the end. The related website features an HTML version of the book, extra text at higher and lower levels, and more exercises and examples.
Limits: A New Approach to Real Analysis

Limits: A New Approach to Real Analysis

Alan F. Beardon

Intended as an undergraduate text on real analysis, this book includes all the standard material such as sequences, infinite series, continuity, differentiation, and integration, together with worked examples and exercises.
The Geometry of Discrete Groups

The Geometry of Discrete Groups

Alan F. Beardon

This text is intended to serve as an introduction to the geometry of the action of discrete groups of Mobius transformations.

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