Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » Education » math-teach

Topic: Super Imaginary Numbers - What are they and how do they help?
Replies: 9   Last Post: Oct 26, 2012 9:53 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Jonathan Crabtree

Posts: 303
Registered: 12/19/10
Super Imaginary Numbers - What are they and how do they help?
Posted: Sep 17, 2012 11:54 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

============================
WHOLE numbers, addition and multiplication are among the first things schoolchildren learn, but a new mathematical proof shows that even the world's best minds have plenty more to learn about these seemingly simple concepts.

Shinichi Mochizuki of Kyoto University in Japan has torn up these most fundamental of mathematical ideas and reconstructed them as never before. The result is a fiendishly complicated proof for the 27-year-old "ABC conjecture" - and an alternative mathematical universe that should prise open many other outstanding enigmas.

Not only that, Mochizuki's work also offers an alternative way to prove Fermat's last theorem, a long-standing problem that became one of the most famous results in the history of mathematics when it was proved in 1993

=============

The above extract is from a 15 September 2012 New Scientist cover story titled, Super Imaginary Numbers.

While I read the full article, I neither understand Shinichi Mochizuki's work nor the magnitude of his breakthroughs.

Would someone please explain this all to me in a way that makes some sense to a naïve mathematician?

Thank you

Jonathan Crabtree

Here are the original papers currently being studied...

http://www.kurims.kyoto-u.ac.jp/~motizuki/Inter-universal%20Teichmuller%20Theory%20I.pdf

http://www.kurims.kyoto-u.ac.jp/~motizuki/Inter-universal%20Teichmuller%20Theory%20II.pdf

http://www.kurims.kyoto-u.ac.jp/~motizuki/Inter-universal%20Teichmuller%20Theory%20III.pdf

http://www.kurims.kyoto-u.ac.jp/~motizuki/Inter-universal%20Teichmuller%20Theory%20IV.pdf

You can register free and read the full article at
http://www.newscientist.com/article/mg21528823.800-fiendish-abc-proof-heralds-new-mathematical-universe.html

------- End of Forwarded Message



Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.