Vedic math is full of tricks and shortcuts for arithmetic operations that would be more difficult using the standard method we learn in elementary school. It makes it possible to do mental calculations that otherwise must be done on paper, and do them more quickly. I don't think it says anything more than regular western math does, but merely provides are slicker way of calculating things. But it could help one gain a deeper intuitive understanding of how numbers work. I haven't memorized all the Vedic math rules and prefer using a calculator instead, so am no expert on how to do things the Vedic way. You may get a kick out of it though, and unless you carry a calculator with you all the time it should come in handy.
Interesting thing about Vedic Mathematics:
There are also scholars who dispute that the work of Bharati Krishna has been drawn from the Vedas. For example, in Issues in Vedic Mathematics, K.S. Shukla, Professor of Mathematics, Lucknow University, states, "The title of the book, Vedic Mathematics, written by Bharati Krishna, bears the impression that it deals with the mathematics contained in the Vedas--Rig Veda, Sama Veda, Yajur Veda and Atharva Veda. This indeed is not the case, as the book deals not with Vedic mathematics but with modern elementary mathematics up to the intermediate standard." Shukla says that no existing appendix of the Atharva Veda contains the sixteen sutras, and when asked to produce them, Bharati Krishna was unable to. "It is evident," wrote Shukla, "that the sixteen sutras of Swamiji's Vedic mathematics are his own compositions. It is evident that the mathematics dealt with in the book is far removed from that of the Vedic period. Instead, it is that mathematics which is taught at present to high school and intermediate classes, the result of Swamiji's own experience as a teacher of mathematics in his early life. Not a single method described is Vedic, but the Swamiji has declared all the methods and processes explained by him as Vedic and ancient." I myself noticed Swami's method of partial fractions used in integral calculus was that originally developed in Europe in the 1800s.
http://www.hinduismtoday.com/archives/2 … 1-20.shtml
I used to be under the impression that Vedic Mathematics is exactly what those ancient Indian mathematicians used on a regular basis for their astronomical, architectural, and theoretical calculations. But it's been claimed that no, it was mainly just a personal speed-math system developed in the early 1900s by a swami teacher of mathematics who branded it as something ancient. But that doesn't matter -- if it works, it works!
Acquiring fringe knowledge is like digging for diamonds in a mine field.