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The Mathematics of Infinity: A Guide to Great Ideas

3.87  ·  Rating details ·  15 Ratings  ·  4 Reviews
A balanced and clearly explained treatment of infinity in mathematics.

The concept of infinity has fascinated and confused mankind for centuries with concepts and ideas that cause even seasoned mathematicians to wonder. For instance, the idea that a set is infinite if it is not a finite set is an elementary concept that jolts our common sense and imagination. the Mathemati
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Hardcover, 287 pages
Published July 1st 2006 by Wiley-Interscience (first published June 30th 2006)
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WarpDrive
Apr 01, 2015 rated it really liked it

This is a nice introductory book about set theory, aspects of real analysis, ordinals and cardinals, mathematical induction (including transfinite induction), mathematical recursion, elements of number theory, the prime number theorem and Riemann's Zeta Function, and basics of logic.

It would be of definite interest to whoever wants to be introduced to some foundational issues in mathematics. However if you have been already exposed to these subjects, then a more detailed book should be used.

Ge
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Bria
Aug 31, 2010 rated it it was amazing
Fantastic for both mathematicians and non-. There are parts that are maybe a little slow to get through if you are unfamliar with mathematical notation, but he explains everything in such delightfully excruciating detail, and it's about such a fascinating subject. Even the jokes are funny whether you're into math or not.
Peter Mcloughlin
Jan 30, 2013 rated it really liked it
A fun book I saw a lot of the material before but some stuff was new to me. It can be understood by someone who did really well in High School Math. It would take some effort but it is rewarding.
Stephen Cranney
Nov 27, 2017 rated it it was amazing
I wanted a book that delved into the math of infinity on a level beyond the basics usually touched on in popular works on Cantor, while still being comprehensible by a layperson. This is that book.
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