Yesterday March 14 was dubbed Pi Day. It also happens that I started this website and blog one year ago ,and it’s Albert Einstein ‘s day of birth.
Here are some facts ,relations and formulas related to the number Pi.
Approximate value of Pi to 1500 digits (done with Mathematica);
The Euler identity or formula ,which mathematicians like very much and find beautiful ,containing five math constants:
Two integrals involving Pi (done and verified with Mathematica):
These pi formulas resemble or seem to be related to the Machin-Like Formulas or to the more general formulas :
I have also considered the study of other formulas involving Pi and other inverse trigonometric functions . Maybe I will publish or write more about these subjects in the future.