## Mathematics

Here I'll just collect some articles summarizing what I've found
out when I've delved into various mathematical topics. There's no real rhyme or reason
to the topics except what interested me at the time.

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*How happy the lot of the Mathematician! He is judged solely by his peers, and
the standard is so high that no colleague or rival can ever win a reputation he does not
deserve. No cashier writes a letter to the editor complaining about the incomprehensibility
of Modern Mathematics and comparing it unfavorably with the good old days when mathematicians
were content to paper irregularly shaped rooms and fill bathtubs without closing the waste
pipe.*

W. H. Auden

*The Dyer's Hand*

*Mathematics is the subject in which we do not know what we are talking about, nor
whether what we are saying is true.*

Bertrand Russell

#### Articles

Group Theory and Various Important Sets:
A brief primer on group theory, leading into a discussion of the defining properties
of some well-known and important sets (natural numbers, rationals, reals, and complex
numbers).

#### Links

Mathematics Archives: Lots
of links to articles all over the web on various mathematical topics.

Eric Weisstein's World of Mathematics: An
excellent reference site (and you can also jump to his excellent reference sites for
astronomy, chemistry and physics, and biographies of famous mathematicians and
scientists, from here).

Frequently Asked
Questions in Mathematics: Another good math info site.