Many series are used to calculate the value of pi. In this blog, we compare two series, one by Gregory and another by Ramanujan.
Here is a MATLAB program that does the comparison for you. The MATLAB program can be downloaded as a Mfile (better to download it, as single quotes from the web-post do [...]
Entries from October 2008
October 30, 2008
Comparing two series to calculate pi
October 19, 2008
An automatic integrator using Trapezoidal rule
How would you know how many segments to use in a Trapezoidal rule of integration to get an accurate value of the integral? This can be done by applying the Trapezoidal rule for 1 segment rule, then 2 segment rule, followed by 4 segment rule and so on. As soon as the absolute relative approximate [...]
October 8, 2008
Another improper integral solved using trapezoidal rule
In a previous post, I showed how Trapezoidal rule can be used to solve improper integrals. The example used in the post was an improper integral with an infinite interval of integration.
In an example in this post, we use Trapezoidal rule to solve an improper integral where the integrand becomes infinite. The integral is . [...]
