Matrix
Editions

*serious mathematics, written with the reader in mind*

Surface Homeomorphisms and Rational Functions

John H. Hubbard

ISBN 9781943863006

262 pages

hardcover, smythe-sewn binding

108 color illustrations

Table of contents (in html)

Return to main page for this book

Sample pages are in pdf. Four pages are provided for each chapter, one for each appendix. These pages are all copyrighted. You are welcome to print one copy for your use.

Chapter 8 The classification of homeomorphisms of surfaces

Chapter 9 Dynamics of polynomials

Chapter 10 Rational functions

Appendix C1 The Perron-Frobenius theorem

Appendix C2 The Alexander trick

Appendix C3 Homotopy implies isotopy

Appendix C4 Mapping class group and outer automorphisms

Appendix C5 Totally real stretch factors

Appendix C6 Irrationally indifferent fixed points

Appendix C7 Examples of Thurston pullback maps

Appendix C8 Branched maps with nonhyperbolic orbifolds

Appendix C9 The Sullivan dictionary

Mandelbrot set, 2 figures