Adyamadyenantyamantyena:

*The First by the First and the Last by the Last*
Adyamadyenantyamantyena is the corollary to

Urdhva-Tiryagbyham, the third

sutra of

Vedic mathematics.

What follows is a

*brief* and

*incomplete* summary of the math shortcuts this corollary contains:

**Practical Application: calculating the area of a wall in feet and inches**
This is not much of a shortcut but can be useful for estimating in one's head.

Example: wall is 9'5" x 10'7"

Rewrite this as (9z + 5) x (10z + 7). z equals 12 inches. z squared equals 1 square foot

Cross-multiplying this, we get: (9z x 10z) + (5 x 10z) + (5 x 7) + (9z x 7)

This simplifies to: 90z

^{2} + 50z + 35 + 63z

Which simplifies to: 90 square feet + 113z +35

The 113 can be divided by 12 (144/z = 12) to simplify it into square feet also, simplifying the answer to: 99 square feet + 5z + 35

This simplifies to 99 square feet + (5 x 12) + 35

The answer is 99 square feet and 95 square inches

Adyamadyenantyamantyena can be used in conjunction with

Anurupyena to

factor quadratic equations. If you want to learn this method, check out the resources listed below:

**RESOURCES:**

*Vedic Mathematics* by Sri Bharati Krisna Tirthaji

http://www.vedamu.org/Mathematics/course.asp

http://www.sanalnair.org/articles/vedmath/intro.htm

http://www.vedicganita.org/ganitsutras.htm

http://hinduism.about.com/library/weekly/aa062901a.htm

http://www.vedicmaths.org/

http://www.hinduism.co.za/vedic.htm

*Mathemagics* by Arthur Benjamin and Michael B. Shermer

http://en.wikipedia.org/wiki/Vedic_math

http://www.tifr.res.in/~vahia/dani-vmsm.pdf

http://www.sacw.net/DC/CommunalismCollection/ArticlesArchive/NoVedic.html