**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

**Mathematics for Computer Scientists**

by

**Gareth J. Janacek, Mark L. Close**-

**BookBoon**

In this textbook you will find the basic mathematics needed by computer scientists. It should help you to understand the meaning of mathematical concepts. Subjects as elementary logic, factorization, plotting functions and matrices are explained.

(

**19371**views)

**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.

(

**11589**views)

**A Computational Introduction to Number Theory and Algebra**

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.

(

**33923**views)

**Algorithmic Algebra**

by

**Bhubaneswar Mishra**-

**Courant Institute of Mathematical Sciences**

The main purpose of the book is to acquaint advanced undergraduate and graduate students in computer science, engineering and mathematics with the algorithmic ideas in computer algebra so that they could do research in computational algebra.

(

**15552**views)