**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

**Implementing Mathematics with The Nuprl Proof Development System**

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.

(

**13056**views)

**The Life of Pi: From Archimedes to Eniac and Beyond**

by

**Jonathan M. Borwein**-

**DocServer**

The desire to understand Pi, the challenge, and originally the need, to calculate ever more accurate values of Pi, has challenged mathematicians for many many centuries, and Pi has provided compelling examples of computational mathematics.

(

**14586**views)

**Computer Algebra, Algorithms, Systems and Applications**

by

**Richard Liska, at al.**-

**Czech Technical University**

From the table of contents: Introduction; Algorithms for algebraic computation; Integrated mathematical systems; Basic possibilities of integrated mathematical systems; Applications of computer algebra; Another sources of study.

(

**12994**views)

**Curves and Surfaces in Geometric Modeling: Theory and Algorithms**

by

**Jean Gallier**-

**Morgan Kaufmann**

This book offers both a theoretically unifying understanding of polynomial curves and surfaces and an effective approach to implementation that you can bring to bear on your own work -- whether you are a graduate student, scientist, or practitioner.

(

**3059**views)