Metamath

by Norman Megill

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ISBN: 978-1-4116-3724-5
Publisher: Norman Megill
Copyright: © 2007 (public domain) Public Domain
Language: English
Country: United States

Printed: 211 pages, 6" x 9", perfect binding, black and white interior ink

Download: 1 documents, 1346 KB

Description:

Metamath is a tiny computer language that can express theorems in abstract mathematics, accompanied by proofs that can be verified by a computer program. The first part of the book provides easy-to-read informal discussion of abstract mathematics and computers for general audiences. The later parts provide in-depth coverage of the foundations of mathematics, the Metamath language, and the Metamath program. More information can be found at the Metamath web site.


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Medicine & Science

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Highly recommended [ No Rating ] 28 May 2007
Among all the languages for representing mathematical proofs, Metamath stands alone in its simplicity and elegance. This book begins by describing the need for a system like Metamath and the author's inspiring journey towards creating it. It continues with a step-by-step guide to using the metamath program to write and check proofs and ends with a precise description of the Metamath formal system itself. As a bonus, an appendix formalizes Hofstadter's MIU system in Metamath and shows how to derive "MUIIU".

This is an excellent, one-of-a-kind book. To anyone wishing to understand abstract mathematics from first principles in a completely rigorous way, I say: this is the book for which you've been waiting.

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