Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4634004 | Applied Mathematics and Computation | 2008 | 17 Pages |
Abstract
The best k-digit rational approximation for a given irrational number, where the numerator has k digits, is presented. Such an approximation allows better error-free computation in the real-world scenario than that permitted by the k-digit decimal approximation of the irrational number. It is pointed out that such a best k-digit rational approximation, though exponential, has been made possible due to current high-speed computation performed by a digital computer. To appreciate the importance of such an approximation, we have also focused on the rational approximation - not always the best one - of some of the famous irrational numbers such as the Ï and the exponential function e by the ingenuity of super-mathematicians in several parts of the world during the pre-computer era spanning over centuries.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
S.K. Sen, Ravi P. Agarwal,