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.
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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.
by Leonard Soicher, Franco Vivaldi - Queen Mary University of London
This text is a course in mathematical algorithms, intended for second year mathematics students. It introduces the algorithms for computing with integers, polynomials and vector spaces. The course requires no computing experience.
The aim of this text is to develop an informal, light introduction to the world of fractal geometry and to inspire further research into the subject, whether your interest is of a pure, applied or even recreational nature.
by Cameron Davidson-Pilon - GitHub, Inc.
This book is designed as an introduction to Bayesian inference from a computational understanding-first, and mathematics-second, point of view. The book assumes no prior knowledge of Bayesian inference nor probabilistic programming.