Vedic Math ... how & why do they work?

thanks to Loren C. for pointing me to this
Here's a neato list of strategies to simpify
certain mathematical operations, known as the
Vedic Math Sutras.
Vedic Mathematics was rediscovered from ancient Sanskrit texts (known as the Vedas, over two thousand years old)
by Bharati Krsna Tirthaji (18841960). Krsna wrote sixteen volumes expounding the Vedic system, but they were
all lost ... so he wrote a single volume (published posthumously in 1965).
Here are the main sixteen
>So what do they ...?
Patience.
I've started some explanations. Just click on the number.

1*  By one more than the one before.

2*  All from 9 and the last from 10.

3*  Vertically and Crosswise

4*  Transpose and Apply

5*  If the Samuccaya is the Same it is Zero

6*  If One is in Ratio the Other is Zero

7*  By Addition and by Subtraction

8*  By the Completion or NonCompletion


9*  Differential Calculus

10  By the Deficiency

11  Specific and General

12  The Remainders by the Last Digit

13*  The Ultimate and Twice the Penultimate

14  By One Less than the One Before

15  The Product of the Sum

16  All the Multipliers



>Just started?
Yes ... just the first three, so far. Now I need to find out what all those other ones are
The sixteen sutras are also known by these names:
1:  Ekadhikena Purvena 
2:  Nikhilam Navatashcaramam Dash 
3:  Urdhvatiryagbhyam 
4:  Paraavartya Yojayet 
5:  Shunyam Saamyasamuccaye 
6:  (Anurupye) Shunyamanyat 
7:  Sankalanavyavakalanabhyam 
8:  Puranapuranabhyam 
9:  ChalanaKalanabhyam 
10:  Yaavadunam 
11:  Vyashtisamanshtih 
12:  Shesanyankena Charamena 
13:  Sopaantyadvayamantyam 
14:  Ekanynena Purvena 
15:  Gunitasamuchyah 
16:  Gunakasamuchyah 
P.S. The Hindi language is a descendant of ancient Sanskrit
... and the most ancient form of Sanskrit (dating back to about 1500 BC) is called VEDIC Sanskrit.
The above stuff was written in mid2003. I could find no info (other than their names) ... except on the first three sutras.
It's now July, 2004 and I got new info from Lawrence W.
With luck I'll be able to finish a few more, starting with 4*

Big note
I make no attempt to exhaust all the corollaries, extensions and various side issues of the sutras.
I'd just like to note what those strange titles mean
Example: the translation of Paraavartya Yojayet is Transpose and Apply
>Huh?
Yes, that's what I asked myself .. tho' not quite so crudely. Hence these tutorials.
P.S.
While going through the various examples given me (via email) I find many errors (typos?)
... which (hopefully) don't appear in these tutorials &$%#!@*??
