**Vedic Mathematics Newsletter No. 122**

A warm welcome to our new subscribers.

This issue’s article (at the end of this newsletter) is titled “Meet Jyothi Manohara, a Vedic mathematics trainer”, who has been awarded the best teacher award, and was interviewed by UrbanPro, a learning network.

“I used Vedic mathematics to solve lengthy problems and it became an on-the-spot hit among students.”

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

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**4TH INTERNATIONAL CONFERENCE**

The Institute for the Advancement of Vedic Mathematics is pleased to announce

Call for Papers

for

4th International Vedic Mathematics Conference

Researchers and educational developers are warmly invited to submit papers for the forthcoming international conference to be held in Hyderabad, Telangana, INDIA 500075

on 29th - 31st August 2019

at

Chaitanya Bharathi Institute of Technology (Autonomous)

Papers relating to the following are welcome:

Applications and advancements in using the Vedic Maths sutras

Extending mathematics using the sutras

Vedic Maths in education

Classical and Ancient Indian Mathematics

Applications of Vedic Maths in digital technology

This three-day international conference aims to bring together researchers and educational developers to share their discoveries, practices and projects.

Day 1 - Presentation of original research papers

Day 2 - Presentation of original research papers

Day 3 - Workshop Programmes for School Students

Rules for Research Paper Abstracts

Abstracts, up to 300 words in length, must be submitted by email by 31st May 2019.

Papers must be original.

Upon acceptance, full papers must be submitted by 30th June.

Authors of papers will be given 25 minutes for presentation followed by Q and A. Presentation by proxy will be available.

Please send abstracts or contact the IAVM for further information at **TEACHER TRAINING COURSE STARTS 3RD JUNE 2019**

This popular 9 week course consists of 36 video lessons, 9 tests and two assignments, plus discussion forums and optional challenge material.

See details at:

http://courses.vedicmaths.org/Teacher_Training_Course.html**APPLIED MATHEMATICS COURSE STARTS 10TH JUNE 2019**

See details here.**SQUARING A NUMBER USING THE SUTRA ‘BY ADDITION AND BY SUBTRACTION’**

M Rajagopala Rao, Principal Coach, Vegam (Veda Ganitam the Amazing Mathematics), SWIS® (Success With Self) – The Vedic Math and Self Development Academy, Hyderabad, India,

This note describes a method of finding the square of a number using the sutra ‘Sankalana Vyvakalanabhyam’ (By Addition and by Subtraction)

It uses the identity n2 = b2 +(n-b)(n+b) where n is the number to be squared and b is a base. The proof of this identity is obvious.

We choose a power of 10 or a multiple of 10 close to n as the base so that b2 can be mentally computed easily.

Let us take an example to find 192 (n = 19). Let us take base b=10

192 = 102 +(19-10)(19+10)= 100 + 9 * 29 = 100 + 261 = 361

Another example of 472: b=40; n=47

472 = 402 + 7*87 = 1600 + 609 = 2209

Another example: 12622

We first find 12602 using the base b= 1200 and n= 1260

12602 = 12002+ 60*2460 = 1440000+147600 = 1587600

Now we find 12622 using base b=1260 and n=1262

12622 = 12602 + 2522*2 = 1587600 + 5044 = 1592644

This Vedic Math approach to finding the square of a number uses the property ‘n2 equals the sum of first n odd numbers’. A base (whose square can be mentally computed easily - a power of 10 or multiple of 10) close to the number is chosen. Then all we need to do is find the sum of the odd numbers between the odd number corresponding to the base and the odd number corresponding to n and add the sum to the square of the base.

Let ‘ob’ be the odd number corresponding to the base. ob =2b+1

n2 = b2 + (ob+ … +on-1) = b2 + (ob+ ob + 2 + ob + 4 + … + ob + 2(n-b-1) = b2+ (n-b)Ob +2+4+ … +(n-b-1)

= b2+(n-b)(2b+1)+2(1+2+3+ … +(n-b-1)) = b2+(n-b)(2b+1)+2((n-b-1)(n-b)/2)

= b2+(n-b)(2b+1)+ (n-b-1)(n-b) = b2+(n-b)(2b+1+n-b-1) = b2+(n-b)(n+b)

n2 = b2 +(n-b)(n+b)

The valuable suggestions of Mr. Kenneth Williams which substantially improved the original manuscript of this note are gratefully acknowledged. **2019 ONLINE CONFERENCE REPORT**

This annual conference was on 16th March this year and was a 4-hour event. Swati Dave of the IAVM hosted the conference and introduced the various workshops, global projects, VM experiences and research papers.

We had a fascinating workshop on Divisibility by Anna Foglino, one on Magic Squares by the young Ram Godbole, one from James Glover on factorising quadratic equations and one from Ken Williams outlining the use of each of the 16 Sutras in solving equations.

Global projects were presented by Sivaram Pusapati in Japan, Ike Prudente in the Philippines and Anna Foglino in Italy. It was inspiring to learn of the wonderful initiatives being put forward by these people.

There were presentations from Santosh in India, Raghavendra in India, Bhattacharjee in India, and Lokesh Tayal in Singapore who showcased his impressive Math2Shine website.

We also had two research papers from Ken Williams, one exploring chapter 22 of Tirthaji’s book on factorisation and Differential Calculus and one on Evaluation of Permutations and Combinations.

Finally Swati described the really impressive future plans from the IAVM including an August conference in Hyderabad and teacher training events in Bangalore, Delhi, South Africa and the Philippines. 2019 is clearly going to be a busy and eventful year for Vedic Mathematics.**4 NEW ONLINE JOURNAL ARTICLES**

4 new articles have been published in the Online Journal:

"Multiplication of n numbers close to a base using ‘Nikhilam’ sutra "by Vijayakrishna J and Rajagopala Rao M, shows how any number of numbers close to a base number can be multiplied.

"Permutations and Combinations" by Kenneth Williams, 2019, shows how the methods of Vedic mathematics can be used in evaluating Permutations and Combinations.

"Factorisation and Differentiation" by Kenneth Williams, 2019, explains and enlarges Chapter 22 of Tirthaji's book.

"Roots of Polynomials" by Kenneth Williams, 2018, shows how we can easily get sums of any like powers of roots of any polynomial without the need to actually find the roots themselves.

See the articles here:

http://www.vedicmaths.org/resources/journal-of-vedic-mathematics**MATHEMATICIANS DISCOVER THE PERFECT WAY TO MULTIPLY**

https://www.quantamagazine.org/mathematicians-discover-the-perfect-way-to-multiply-20190411/#comments

***********************************************ARTICLE FOR NEWSLETTER 122**

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Meet Jyothi Manohara, a Vedic mathematics trainer

Jyothi has more than 20 years of experience as a Vedic mathematics teacher and has trained more than 1,000 students. She was awarded ‘Best Teacher’ by the Universal Concept of Mental Arithmetic System (UCMAS) in 2010. She has given workshops on Vedic mathematics/ abacus at Gnanabharathi and also in renowned schools in Bangalore such as Delhi Public School- South, National Public School- Kanakapura Road, Silicon City Academy of Secondary Education- Konanakunte and Gnana Gangothri Vidyalaya.

Our heartiest congratulations to Jyothi!

Here is an excerpt from the interview with Jyothi Manohara.

Q. When and how did you start as a Vedic mathematics trainer?

During my engineering days (1991 to 1995), I happened to come across Tirthaji’s Vedic Mathematics book. Mathematics has always been my favourite subject and this book instantly caught my attention. I gradually started practising and exploring new Vedic mathematics methods. Later, in 1996 when I took up teaching as my profession, I worked as a lecturer in the Department of Computer Science at BMS College for Women, Bangalore. I used Vedic mathematics to solve lengthy problems and it became an on-the-spot hit among students. Later, I took up Vedic mathematics teachers training from a prominent teacher, Mr Kenneth R Williams and became a full-fledged Vedic mathematics trainer.

Q. What are the skills required to become a Vedic mathematics trainer?

One must be open-minded in incorporating innovative methods. Also, a tutor must

1. Have a flair for teaching.

2. Be a good orator.

3. Be able to convince students about the new methods.

4. Have the ability to teach both conventional traditional method and Vedic maths method.

Most importantly, Vedic mathematics is an ocean of knowledge. One must remember to continue learning even after becoming a trainer.

Q. What was the turning point in your career?

I resigned from the post of a lecturer to pursue learning Vedic mathematics. After 15 years, the same college invited me to teach Vedic mathematics to their final year degree students. I conducted a vocational course and that gained huge popularity as well.

Now, many of my students are Vedic mathematics trainers and are successfully conducting classes to train other students.

End of article.

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Editor: Kenneth Williams

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7th May 2019