**Around the Boundary of Complex Dynamics**

by Roland K. W. Roeder

**Publisher**: arXiv 2015**Number of pages**: 56

**Description**:

We introduce the exciting field of complex dynamics at an undergraduate level while reviewing, reinforcing, and extending the ideas learned in an typical first course on complex analysis. Julia sets and the famous Mandelbrot set will be introduced and interesting properties of their boundaries will be described.

Download or read it online for free here:

**Download link**

(1.5MB, PDF)

## Similar books

**Hyperbolic Manifolds, Discrete Groups and Ergodic Theory**

by

**Curtis T. McMullen**-

**Harvard University**

Contents: Ergodic theory; Dynamics on hyperbolic surfaces; Orbit counting, equidistribution and arithmetic; Spectral theory; Mixing of unitary representations of SLnR; Amenability; The Laplacian; All unitary representations of PSL2(R); etc.

(

**2793**views)

**Dynamics, Ergodic Theory, and Geometry**

by

**Boris Hasselblatt**-

**Cambridge University Press**

This book contains articles in several areas of dynamical systems that have recently experienced substantial progress. Some of the major surveys focus on symplectic geometry; smooth rigidity; hyperbolic, parabolic, and symbolic dynamics; etc.

(

**10194**views)

**Dynamical Systems**

by

**Shlomo Sternberg**-

**OER Commons**

This book addresses the following topics: Iterations and fixed points; bifurcations; conjugacy; space and time averages; the contraction fixed point theorem; Hutchinson's theorem and fractal images; hyperbolicity; and symbolic dynamics.

(

**5210**views)

**Definitions, Solved and Unsolved Problems, Conjectures, and Theorems in Number Theory and Geometry**

by

**Florentin Smarandache**-

**Amer Research Pr**

A collection of definitions, questions, and theorems such as Smarandache type conjectures, problems, numerical bases, T-numbers, progressions, series, functions, Non-Euclidean geometries, paradoxes, linguistic tautologies, and more.

(

**11788**views)