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The Mathematics of Infinity: A Guide to Great Ideas
'The Mathematics of Infinity' addresses infinite cardinals and is appropriate for readers at any level. Inviting the reader to imagine constructing an infinite chain infinities, which are called cardinals, Faticoni successfully prepares and motivates readers for topics covered within the book.
Hardcover, 287 pages
Published July 1st 2006 by Wiley-Interscience
(first published June 30th 2006)
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(showing 1-30 of 34)
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.
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.