Show Summary Details

p. 564. Limits and infinitylocked

  • Timothy Gowers


In one way or another, the concept of infinity is indispensable to mathematics, and yet it is a very hard idea to make rigorous. ‘Limits and infinity’ discusses three statements that each look innocent enough at first, but turn out, on closer inspection, to involve the infinite. The first is to do with the square root of two, which concerns infinite decimals; the second involves the acceleration of a car; and the third considers the calculation of the area of a circle. How to deal with the difficulties that infinity creates is then explained.

Access to the complete content on Very Short Introductions online requires a subscription or purchase. Public users are able to search the site and view the abstracts and keywords for each book and chapter without a subscription.

Please subscribe or login to access full text content.

If you have purchased a print title that contains an access token, please see the token for information about how to register your code.

For questions on access or troubleshooting, please check our FAQs, and if you can't find the answer there, please contact us.