Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Journals
  3. The Mathematical Gazette
  4. Volume 13
Journal Home
Refine listing

Refine listing

Access:
Publication date:

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×
< Back to all issues

Volume 13 - March 1927

Contents

Page 6 of 17

Mathematical Notes

Reviews

Research Article

  • On the Approximation to Irrational Numbers By Rationals

  • A.C. Heath
  • Published online by Cambridge University Press:
    03 November 2016, pp. 362-366

  • The problem of deciding whether a given number is irrational or not is frequently one of some difficulty, as in the proof that π is irrational. Several numbers which are very probably irrational have never been proved so, e.g. y, eπ. However, we have one quite simple test for deciding whether a number is irrational or not when we have the number expressed as a continued fraction, viz. if the continued fraction terminates, the number is rational; if not, irrational. In what follows we assume our irrational number given as a continued fraction :

    or shortly

Reviews

Mathematical Notes

Reviews

Mathematical Note

Mathematical Notes

Reviews

Mathematical Notes

Reviews

Mathematical Notes

Page 6 of 17