2020-01-Issue126

Vedic Mathematics Newsletter No. 126
 
A warm welcome to our new subscribers.

We hope that all our subscribers, family and friends, are safe and well.
 
This issue’s article is the report on the inspiring 6th International Online Vedic Mathematics Conference.

****************************
NEWS
****************************
 

CALCULUS COURSE STARTS 13th APRIL 2020
Details here:
https://courses.vedicmaths.org/Calculus_Course.html

TRIGONOMETRY COURSE STARTS 18th MAY 2020
Details here:
https://courses.vedicmaths.org/Trigonometry_Course.html

TEACHER TRAINING COURSE STARTS 25th MAY 2020
Details here:
https://courses.vedicmaths.org/Teacher_Training_Course.html

COMPUTATIONAL RESEARCH PROJECT IN TRIPLES
Announcing a research project aimed at investigating the potential for representing Pythagorean Triples as presented in Vedic Mathematics, in terms of the Pure Functional Programming language.

The project is being coordinated by Brian G. Mc Enery, who holds a PhD in Computational Mathematics. The current location for the research is at https://github.com/BrianGMcEnery/advanced-vedic-math/wiki.

Alternately anyone who is interested in this development may contact the project directly at the project email address, vedicmathproject@gmail.com. This research will be of interest to people who have some experience with Vedic mathematics, and some experience with software development.

THREE NEW JOURNAL ARTICLES

"Why in many situations Vedic Mathematics is a much better choice than modern Mathematics"
 by Pankaj Dhar, 2020


This paper offers a comparison of Vedic Mathematics with Modern Mathematics, comparing and contrasting their respective approaches and advantages.


 

"Arcs and Chords of Circles, Angles and Sines of Angles"
 by Kenneth Williams, 2020.  short video


On a neat method for evaluating Sines, Cosines and their inverses and Tangents. And how the method throws light on an approximate general method for evaluating other functions.

 

"Expressing a Number as a Sum of Two Square Numbers"
 by Kenneth Williams, 2020.  short video


On how to express a given number as a sum of two squares - special and general method. The general method is in relation to Tirthaji's chapter 31.

 

 





TIRTHAJI’S SEQUENCE
In connection with the sequence given in Chapter 31 of Tirthaji’s book and discussed in the above paper "Expressing a Number as a Sum of Two Square Numbers" we have heard from Vitthal Jadhav that the sequence comes up in another way:
Here is one more interesting beauty of BKT's Sequence 4, 12, 24, 40, 60, 84, 112,... 
3^2 + (4^2) = 5^2
(Leave 4 natural numbers after 5 start & from 10)
10 +11^2 + (12^2) = 13^2 + 14^2
(Leave 6 natural number after 14, start from 21)
21^2 +  22^2 + 23^2 + (24^2) = 25^ + 26^2 + 27^2
(Leave 8 natural numbers after 27, start from 36)

36^2 + 37^2 + 38^2 + 39^2 + (40)^2= 41^2 + 42^2 + 43^2 + 44^2
In general if m is n'th Tirthaji's number then
(m-n)^2 + (m-n+1)^2 + (m-n+2)^2 +...+ ((m^2) = (m+1)^2 +(m +2)^2 +..+ (m+n)^2
Here is visual proof
https://www.forbes.com/sites/startswithabang/2020/03/06/the-bizarre-math-of-why-10²-11²-12²-13²-14²/amp/?utm_source=quora&utm_medium=referral

*****************************************
ARTICLE FOR NEWSLETTER 126
*****************************************

6TH ONLINE CONFERENCE REPORT

This event was on Saturday 14th March 2020. The IAVM report of the event, by Marianne Fletcher, is available here.

*********************************************
 
Your comments about this Newsletter are invited.
If you would like to send us details about your work or submit an article or details about a course/talk etc. for inclusion, please let us know at news@vedicmaths.org
 
Previous issues of this Newsletter can be viewed and copied from the Web Site: /joomla5-v3/community/newsletter
 
To unsubscribe from this newsletter simply reply to it putting the word unsubscribe in the subject box.
 
Editor: Kenneth Williams
 
The Vedic Mathematics web site is at: /joomla5-v3
mailto:news@vedicmaths.org
 
5th April 2020