Pictures of Julia and Mandelbrot Sets
Publisher: Wikibooks 2010
The purpose of this book is to show how the computer can draw technically perfect pictures of Julia and Mandelbrot sets. All the definitions, results and formulas required will be stated. If you know what a complex rational function is, then you certainly have enough knowledge of mathematics to follow this account.
Home page url
Download or read it online for free here:
by R. L. Constable, at al. - Prentice Hall
The authors offer a tutorial on the new mathematical ideas which underlie their research. Many of the ideas in this book will be accessible to a well-trained undergraduate with a good background in mathematics and computer science.
by Edward A. Bender, S. Gill Williamson - Dover Publications
This text assists undergraduates in mastering the mathematical language to address problems in the field's many applications. It consists of 4 units: counting and listing, functions, decision trees and recursion, and basic concepts of graph theory.
by Victor Shoup - Cambridge University Press
This introductory book emphasises algorithms and applications, such as cryptography and error correcting codes. It is accessible to a broad audience. Prerequisites are a typical undergraduate course in calculus and some experience in doing proofs.
by Thomas Hales - arXiv
Computers have rapidly become so pervasive in mathematics that future generations may look back to this day as a golden dawn. The article gives a survey of mathematical proofs that rely on computer calculations and formal proofs.