Mathematics in the Age of the Turing Machine
by Thomas Hales
Publisher: arXiv 2013
Number of pages: 45
Description:
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. Contents: Computer Calculation; Computer Proof; Issues of Trust; Concluding Remarks.
Download or read it online for free here:
Download link
(3.7MB, PDF)
Similar books
Isabelle/HOL: A Proof Assistant for Higher-Order Logicby T. Nipkow, L.C. Paulson, M. Wenzel - Springer
This book is a self-contained introduction to interactive proof in higher-order logic, using the proof assistant Isabelle. It is a tutorial for potential users. The book has three parts: Elementary Techniques; Logic and Sets; Advanced Material.
(9131 views)
A Computational Introduction to Number Theory and Algebraby 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.
(31953 views)
Pictures of Julia and Mandelbrot Sets- Wikibooks
The purpose of this book is to show how the computer can draw technically perfect pictures of Julia and Mandelbrot sets. All the necessary theory is explained and some words are said about how to put the things into a computer program.
(8055 views)
Vector Math for 3D Computer Graphicsby Bradley Kjell - Central Connecticut State University
A text on vector and matrix algebra from the viewpoint of computer graphics. It covers most vector and matrix topics needed for college-level computer graphics text books. Useful to computer science students interested in game programming.
(14073 views)