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
Mathematical Illustrations: A Manual of Geometry and PostScriptby Bill Casselman - Cambridge University Press
The author gives an introduction to basic features of the PostScript language and shows how to use it for producing mathematical graphics. The book includes the discussion computer graphics and some comments on good style in mathematical illustration.
(22267 views)
Mathematics for Algorithm and Systems Analysisby 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.
(32491 views)
Strange Attractors: Creating Patterns in Chaosby Julien C. Sprott - M & T Books
Chaos and fractals have revolutionized our view of the world. This book shows examples of the artistic beauty that can arise from very simple equations, and teaches the reader how to produce an endless variety of such patterns.
(21925 views)
Algorithms in Real Algebraic Geometryby S. Basu, R. Pollack, M. Roy - Springer
The monograph gives a detailed exposition of the algorithmic real algebraic geometry. It is well written and will be useful both for beginners and for advanced readers, who work in real algebraic geometry or apply its methods in other fields.
(18806 views)