Vedic Mathematics: Easy and Fun Learning Approach

Vedic Mathematics
Easy and Fun Learning Approach
Presenter
Dr. Prashant. S. Sharma
HOD, E&TC
Govt. Polytechnic Awasari (Kh)
Maharashtra(India)
Shat Shat Naman
|| Shri Ganeshji Maharaj ||

|| Mata Saraswatiji ||
|| Guruwar Shri Nischallanandji ||
|| Gyan Poonj Shri Surya Deoji ||
|| Sri Hari Vishnuji ||
Objective (Uddeshya)
RediscOveRy Of vedic WisdOm
(vedic gyan ki pUnah khOj)
Vigyan aur Prodhyogiki ka

Dharm, Disha v Lakshya Adharit Vikas hetu
Vedic Gyan ki Punah Khoj
Rediscovery of Vedic Wisdom for

Righteous, Directed and Targeted
Development of
Science and Technology
With His Inspirations
Profile of Presenter
 Dr. Prashant Shiv Sharma (Date Of Birth- 02/08/1973)
 PhD in Electronics Engineering (September 2013)
Rashtrasant Tukadoji Maharaj Nagpur University(RTMNU)
 Techonology Development (2013-2016,Startup) -
Smartphone based Advanced Driver Assistant System(ADAS)
for Smart Cars (Driverless Cars/Self Driving Cars)
 Head of the Department (August 2016 to till date)
Government Polytechnic Awasari(Kh), Maharashtra
 PhD Student has submitted Thesis (2019) on
Implementation of Optimised Multiplier-Accumulator (MAC)
Unit with Vedic Multiplier And Full Pipelined Accumulator
Name of Scholar- Md. Nasiruddin
 Diksha taken from Puri Peethadheeshawar Jagatguru
Shankaracharyaji Shri Nischalanandji Saraswati Mahabhaag
Content
• History of Indian Mathematics
• Why Vedic Mathematics
• Pre requisites for Students
• Claims of Vedic Maths
• Overview of Sutras/ Upsutras(corollary)/ Koot
(coded) Sutra
• Fun and Magic of Vedic Mathematics
• Findings of Vedic Mathematics
• Critical review on claims and scope
• Conclusion
History of Indian Mathematics
• Ved Vyasji written in Narad Vishnu Puran about
addition, substraction,multiplication, division,
square, cubes etc.
• Discovery of Zero and Decimal system
(Till 1000 B.C)
• Bodhayan Sulbhasutra (1000 B.C to 500 B.C.),
which was later recognised by Greek
Mathematician’s Pythagoras Theorem
• Geometry was introduced by Bodhayan and
Aapstambh way back in Vaidik Period to prepare
fire alter for performing Yagyah
• Permutation and combination was listed in
Bhagwati Sutra and Sthaning Sutra
• Zero was seen in Brahmagupt literature way
back in 7th Century.
• Zero was extensively in use during Aryabhatt
period .
• Aryabhatt has revolutionised the knowledge
of Solar System and Trignometry
• Aryabhatt introduced the value of Pie(π)
• Varahmihir has increased the treasure of
Aryabhatt’s Trignometry.
• Also defined concept related to Pascal’s
Triangle
• Differentiation and Integration was introduced by
Bhaskaracharya .
• He also proved many trignometric equations
• Bhaskaracharya written famous books named
“Lilavati “ and “Beejganit”.
• He had also written book called “Siddant
Shiromani” in which is conceptualised the
Gravitational force of Earth.
• Shrinivas Ramanuj Aiyangar (1887-1920)- Great
Mathematician has Contributions in Number
Theory
Modern Mathematicians
• Dr. Manjul Bhargava , was awarded the medal
“for developing powerful new methods in
geometry of numbers, which he applied to count
rings of small rank and to bound the average rank
of elliptic curves“.
• Mathematician Akshay Venkatesh-Akshay was

recognised for his use of dynamics theory, which
studies the equation of moving objects to solve
the problem in number theory. It is the study of
whole numbers, prime numbers, and integers.
Why Vedic Mathematics?
• Mathematics, derived from the Veda,
–provides one line mental and
superfast methods
–along with quick cross checking
systems
• Students consider
– maths a difficult subject
– some encounter difficulty with basic
arithmetical operations
– feels difficult to manipulate symbols
and balance equations
–An unpleasant experience because it
involves mental exercise
• Easier to learn.
• Less prone to error
• Converts Mathematics into a playful subject
• Students learn with smiles.
• Remove math-phobia.
• Attain high degree of mathematical ability
from an early stage
• Offers a new and entirely different pattern

recognition approach
• Allows for creativity, logical thinking and

intuition
Pre-requisites for Students
of Vedic Maths
• Vedic system, -the multiplication tables
are not really required above 5x 5.
• And a school-going pupil who knows

simple addition and subtraction
(of single-digit numbers)
Claims of Vedic Mathematics
• Found in Veda;
• Provides insight of all of Mathematics;
• Simplifies computation;
• Makes mathematics easy and fun to learn

SIXTEEN SUTRAS
THIRTEEN UPSUTRAS
Mathematical
Operations
Performed
using Vedic
Mathematics
Mathematical
Operations
Performed
using Vedic
Mathematics
Sutras(16)
1 Ekadhikena Purvena 9 Calana – Kalanabhyam
2 Nikhilam Navatascharamam 10 Yavadunam

Dashatah
3 Urdhva-tiryagbhyam 11 Vyastisamashtih
4 Paravartya Yojayet 12 Sheshanynkena Charmena
5 Shunyam Samyasamucchaye 13 Sopantyadvayamantyam
6 Anurupye Sunyamanyat 14 Ekanyunena Purvena
7 Sankalana 15 Ginitasamucchayah
vyavakalanabhyam
8 Puranaprranabhyam 16 Gunaksamucchayah
13 Upsutras,3 coded Sutras and
Additional 6 Sutras
• With the blessing of Sun God,
Shankaracharyaji Shri
Nishchalanandji Saraswati got
the divine knowledge of
another three sutras.
• This makes total 16+13+3=32
sutras, upa-sutras and coded
sutras
• Moreover, he also discovered
6 more sutras to make tally
of total 38 Sutras/ Upsutras/
Koot Sutras
Additional
Sutras/Upsutras/Koot sutras of
Vedic Mathematics
1. Dwandvyogahp--Dwayatmak padh
2. Kalau shudra sasaih(Coded sutra)
3. Kamse Kshama-dahakhallairmalaih(Coded Sutra)
4. Kaadi nav, taadi nav, paadi panchak, yadyastak ,
kshahm shoonyam
5. Dhwajankah
6. Ankah
7. Ghaatah
8. Shudha prayukat
9. Aadyam antayam madhyamam
UpSutras (Corollaries13+6) and
Coded(koot) Sutra(3)
1 Anurupyena 12.Vilokanam
2 Shishyate Sheshsamjnah 13.Gunitasamucchyah
samucchayagunitah
3 Adyamadye Nantyamantyena 14.Kalau Kshudra sasaih
(coded Sutras 2)
4 Kevalaih Saptakam Gunyat 15.Kamse Kshama-dahakhallairmalaih
(Coded sutra 1) (Coded Sutras 3)
5 Vestanam 16. Dwandvyogah -Dwayatmak padh
6 Yavadunam Tavadunam 17.Kaadi nav, taadi nav, paadi panchak,
yadyastak , kshahm shoonyam
7 Yavadunam Tavadunikutya 18.Dhwajankah
Varganka cha Yojayet
8 Antyayordhshakepi 19.Ankah
9 Antyatoreva 20.Ghaatah
10 Samucchayagunitah 21.Shudha prayukat
11 Lopanasthapanabhyam 22.Aadyam antayam madhyamam
Updated Sutras Details
Total 38 Sutras
• 13 on MATHEMATICAL operations
• 25 on Philosophical, Scientific and Behavioural
concepts (Darshan, Vigyan and Vyavhar)
• Ganeet Chintamani
• The Genesis Of Zero

And One And Binary
System
• Swaastika Ganita
• Ganita Darshana
• Prathamika
Bhidikarsaganita
• Ganitasutram
• Baidikarsaganita
• Nature Of Numbers
• Sutranusheenalam
Fun and Magic
Begins Here
Fun and Magic Begins Here
Multiplication with 9,99,999,9999…
123 Nikhilam Navtah
X 999 charaman dashatah
________
122 877
All from 9 and last from 10
Eknunen purven
(By one less)
Type 2
Type 3
Base(Aadhaar) Multiplication
Base Multiplication
When two digit number ends with same
digit and sum of the first digit is 10
Square(varg) of 11,111,1111…
Square of numbers ending with 5
• (15)^2=225 (95)^2=9025
• (25)^2=625
• (35)^2=1225
• (45)^2=2025
(105)^2=12125
• (55)^2=3025
• (65)^2=4225 (115)^2=13125
• (75)^2=5625
• (85)^2=7225
8X9=72 and 5X5=25
Ekadhiken purven
(By one more)
Last digit 5
Last digit 5
Multiplication using urdhva
tiryagbhyam
Beejank limitation
Multiplication
7108
Multiplication
Multiplication
Multiplication
Multiply by 11,111,1111…
Multiply by 11,111,1111…
Multiply by 12,13,14,112,113…
Division by Dhwajank Method
Division by Dhwajank Method
Nikhilam and Paravartya Division
Division using Nikhilam method
Paravartya yojayet
Square and cubes of number
anurupyen
anurupyen
Yavet unam tavat unikrutya varg cha
yojayet
yojayet
yojayet
anurupyen + yavat unam…..
ekadhiken purven
ekadhiken purven
sakalanavyakalanabhyam
Sutras
Upadhar ke nikat multiplication
Findings of Vedic Mathematics
Title Author Date
A Critical Study of Vedic Mathematics of K Chandra 1999 Indian Journal of
Sankaracharyaji Sri Bharthi Krsna Tirthji Maharaja Hari History of Science
Findings
• Vedic Mathematics is much better when working
special types of equations than with general
ones.
• In Vedic mathematics mental calculation play
significant role in mathematical processes
Critical review on Claims of
Vedic Mathematics
Title Author Date
Vedic Mathematics Vasanta 2009 IIT Madras
(only PPT) Kanaswamy
Findings
Claims Critiques
Found in it is not in Atharvaveda but in Parisista which is also not
Veda demonstrated
encompass focus only on middle and high school level but not advanced
all math mathematical concepts
simplifies may be true but similar to speed math systems of Trachtenberg
computation and Meyers, moreover works well in certain situations
make maths if students are good at computation they will enjoy and want
fun to learn to learn more
Critical Review on Scope of Vedic
Mathematics in Educational Programmes
• Meaningless act to incorporate VM in modern syllabus, will

create great confusion
• It will be more ideal to include Lilavati and Bijaganitam in the

syllabus supplemented by Swamiji’s short cut methods in a special
chapter on the history of Indian Mathematics
• Without the true facts of their origin commentary and

explanatory proofs the insights or vague process of computation
alone are of little significance to the students
Critical Review on Scope of Vedic
Mathematics in Educational Programmes
• The institutions that have been sponsoring studies on

Swamiji’s sutras may better focus their attention onto a
larger canvas of the creative approaches that can be
deciphered from our scientific Vedic Heritage
• Vedic maths has absolutely no scope in the realm of

computer
• Attention should be towards creative development of

computer Algebra
Conclusion
• These results are sufficiently encouraging to prompt one to
explore the possibility of developing software based on
these sutra algorithms for use in high speed
computers
• The process of developing software using sutra algorithms

may spark off clue(s) to the development of a new
programming language.
• Finally, efforts may be made to build a computer using the

sutra algorithms of Vedic Mathematics
Thank you
Jai Gurudeo ji
Jai Jagannath ji
Contact Details-----
Mobile number- 9423114529; 8605936646
Email Id- pssharma2873@gmail.com

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What is the objective of rediscovering Vedic wisdom?

What is the objective of rediscovering Vedic wisdom?

What are the key findings of Vedic mathematics according to the literature cited?

What are the key findings of Vedic mathematics according to the literature cited?

Vedic Mathematics

Easy and Fun Learning Approach

|| Shri Ganeshji Maharaj ||

Vigyan aur Prodhyogiki ka

Rediscovery of Vedic Wisdom for

• Mathematician Akshay Venkatesh-Akshay was

• Less prone to error

• Converts Mathematics into a playful subject

• Students learn with smiles.

• Offers a new and entirely different pattern

• Allows for creativity, logical thinking and

• And a school-going pupil who knows

• Provides insight of all of Mathematics;

• Makes mathematics easy and fun to learn

2 Nikhilam Navatascharamam 10 Yavadunam

4 Paravartya Yojayet 12 Sheshanynkena Charmena

5 Shunyam Samyasamucchaye 13 Sopantyadvayamantyam

6 Anurupye Sunyamanyat 14 Ekanyunena Purvena

• The Genesis Of Zero

• Meaningless act to incorporate VM in modern syllabus, will

• It will be more ideal to include Lilavati and Bijaganitam in the

• Without the true facts of their origin commentary and

• The institutions that have been sponsoring studies on

• Vedic maths has absolutely no scope in the realm of

• Attention should be towards creative development of

• The process of developing software using sutra algorithms

• Finally, efforts may be made to build a computer using the

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