Thanks.When I took math classes,I never thought of PI beyond 3.14 and its ratio of circumference to diameter .Now I really wonder how Euler arrived at this formula?
e^ipi = -1 where e is natural logarithm(which is again irrational number) and i is squre root of -1 and PI again is irrational!!
From the same book:
"Gentlemen, that is surely true, it is absolutely paradoxical; we cannot understand it, and we don't know what it means. But we have proved it, and therefore we know it must be the truth." �Benjamin Pierce, a Harvard mathematician, after proving Euler's equation, eiπ = �1, in a 19th-century lecture.
[ August 07, 2007: Message edited by: Arjunkumar Shastry ]