Welcome to the Online International Journal of Vedic Mathematics.

Here we offer articles on Vedic Mathematics that are a bit technical or long for the Newsletter.

We welcome new articles. If you would like to submit an article to be published here please contact Kenneth Williams at academy@vedicmaths.org. Articles should aim at the Vedic ideal of simplicity and directness and should be original. They should be well written and checked, and will be carefully examined by our team of Vedic Maths experts before acceptance.

 

ARTICLES

"Nth Power of Pingala Chanda"
by Ranjani Chari, July 2013
This shows a method of raising a number to some power that was given by Pingala Chanda in 200 BC.

"Novel Algorithm for 'Nth Root of Number' using Multinomial Expansion"
by Vitthal Jadhav, March 2013
This gives a general algorithm to extract the nth root of any number. It also discusses various novel approaches to expand multinomial.

"Novel Methods for 'Reciprocal of Prime Number' using VM Osculator"
by Vitthal Jadhav, January 2013
This shows a number of applications of the osculator in recurring decimals.

"Solving Systems of linear equations using the Paravartya rule in Vedic Mathematics"
by D.K.R. Babajee, August 2012
This develops Tirthaji's method for solving simultaneous equations, showing how it can be used to solve systems of equations.

"Recursion based Derivation of Duplex Square Method"
by Vitthal Jadhav, June 2012
This proves the Vedic duplex method of squaring numbers.

"A Method for Finding the Square of any Number"
by D.K.R. Babajee, June 2012
An unexpected extension of the method for squaring a number near a base which leads to a general method of squaring.

"Faster Division by 10ⁿ-1 or Monodigit Number"
by Vitthal Jadhav, April 2012
Dividing by monodigit numbers like 7777, with proof and example.

"Ellipse Problem Solved using Triple Code Numbers"
By Steven Vogel, March 2012
Here we see how to use triple code numbers to solve the problem of finding integral points on an ellipse where the ellipse must also be defined in terms of integers.

"Triples and the Mandelbrot Set "
by Kenneth Williams, March 2012
This introduces the Mandelbrot Set and shows how it can be explained more simply than the usual way (which involves a knowledge of complex numbers). No prior knowledge of triples or the Mandelbrot set is required.

"Magic of Sub-Sutra"
by Sarwan Aggarwal, February 2012
Showing applications of the Vedic sub-sutra: "For 7, multiplier is 143"

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Below are articles from previous newsletters which are also of a more technical nature.

AN INTERESTING VEDIC MATH APPLICATION (on compound interest) by Steven Vogel
ONE WAY OF LOOKING AT THE BINOMIAL THEOREM by Steven Vogel