1. RISHIGURUKUL
SCO 135
SECTOR 24-D
CHANDIGARH

2. “a gift given to this world by the ancient
sages of India. A system which is far more
simple and enjoyable than modern
mathematics.”
“Research shows that the application of
Vedic mathematics makes use of both parts
of the brain.”

3. Vedic Maths, a Forgotten
Science…..
It is being taught in some of the most prestigious
institutions in England and Europe. NASA scientists
applied its principles in the area of artificial
intelligence. And yet, in the country of its birth it
languishes as a forgotten science.

4. What is Vedic Mathematics…???
“It is an ancient technique, which simplifies
multiplication, divisibility, complex
numbers, squaring, cubing, square and cube roots.”
“Even recurring decimals and auxiliary fractions can
be handled by Vedic mathematics.”
“In the Vedic system 'difficult' problems or huge
sums can often be solved immediately by the Vedic
method.”

5. Brought Vedic Maths to
limelight…???
“Vedic Mathematics was revived largely due to the
efforts of Jagadguru Swami Bharathikrishna
Tirthaji of Govardhan Peeth, Puri Jaganath
(1884-1960), which he claimed that it based on a
lost appendix of Atharvaveda, an ancient text of
the Indian teachings called Veda.”
Having researched the subject for years, even his
efforts would have gone in vain but for the
enterprise of some disciples who took down notes
during his last days.

6. What is the basis of Vedic
Mathematics…???
The basis of Vedic mathematics, are the 16 sutras, which
attribute a set of qualities to a number or a group of
numbers.
The ancient Hindu scientists (Rishis) of Bharat in 16 Sutras
(Phrases) and 120 words laid down simple steps for solving all
mathematical problems in easy to follow 2 or 3 steps.
Vedic System can be used effectively for solving
divisions, reciprocals, factorisation, HCF, squares and square
roots, cubes and cube roots, algebraic equations, multiple
simultaneous equations, quadratic equations, cubic
equations, bi-quadratic equations, higher degree
equations, differential calculus, Partial
fractions, Integrations, Pythagoras theorem, Apollonius
Theorem, Analytical Conics and so on.

7. Is it useful today…???
Given the initial training in modern maths in today's
schools, students will be able to comprehend the logic of
Vedic mathematics after they have reached the 8th
standard.
It will be of interest to every one but more so to
younger students keen to make their mark in
competitive entrance exams.
India's past could well help them make it in today's
world.
It is amazing how with the help of 16 Sutras and 16 sub-
sutras, the Vedic seers were able to mentally calculate
complex mathematical problems.

8. Why did the Vedic Seers need Vedic
Mathematics…???
The Vedic Seers were highly ritualistic in practice. All the four Vedas
namely Rig Veda, Yajur Veda, Sama Veda and Atharva
Veda, consist of Samhitas, Brahmanas, Aranyakas and Upanishads.
Of these four, the first three namely Samhitas, Brahmanas and
Aranyakas contain several thousand Mantras or Hymns, Ritual
practices and their interpretations.
The Vedic Seers were very particular about the time of doing the
rituals. Hence they needed a very scientific and accurate calendar and
time measurements. Hence we have the adage IST which once meant
Indian Standard Time. But in recent times due to our laziness and
carelessness, it has come to mean Indian Stretchable Time.
The Vedic culture was that of Yajna and the Vedic Purohits or priests
were also very particular about the shape and size of the Yajna Kund.
For this they needed a very highly developed Geometry and
Trigonometry.

9. Sutras (Phrases) used in Vedic
Mathematics…
1.Ekadhikena Purvena (One More than the Previous)
 It is useful in solving Special Multiplications like
25×25, 95×95, 105×105 etc
 Special Divisions like 1 divided by 19, 29, 39, …. 199 etc.
Sub sutras:
Anurupyena or Sunyamanyat (Proportionately)
2.Ekanyunena Purvena (One less than the Previous)
 It is useful in solving Special Multiplications like
777×999, 123456789×999999999
3.Urdhva-Tiryaghyam (Vertically and Cross-wise)
 It is useful in General Multiplication of any number by any number.
Sub sutras:
Adhyam-Adhyena, Antyam-Antyena (first by the first and the last
by the last)
 It is useful in solving Quadratics.

10. 4. Paravartya Yojayet (Transpose and Apply)
 It is useful in solving Algebraic factors and divisions of some
numbers etc.
5.Sunyam Samya samuccaye (when Samuccaya is the
same, that Samuccaya is zero)
 Samuccaya is a technical term which has several meanings. This is
useful in solving many complex factors and equations.
Sub sutras:
Veshtanam
6.Sankalana-vyavakalana
Sub sutras:
Yavadunam Tavadunikrtya Vargamca Yojayet
7.Purna Purnabhyam
Sub sutras:
Antyayor Dasakepi
 It is used for two numbers whose last digits together total 10

11. 8.Calana-Kalanabhyam
Sub sutra:
Antyayoreva
9.Yavadunam
Sub sutra:
Samuccayagunitah
10.Vyashti samashti
Sub sutra:
Lopana-stapana-bhyam (by Elimination and Retention)
 It is useful in factorizing long and harder quadratics.
 very useful in HCF, Solid Geometry, Coordinate Geometry
11.Seshanyankena caramena
Sub sutra:
Vikolanam

12. 12.Sopantya dvayamantyam
Sub sutra:
Gunita-Samuchhayah Samuchhaya-gunitah
 It means "The product of the sum of the coefficients in the
factors is equal to the sum of the coefficients in the
product"
 It immense utility for the purpose of verifying the correctness
of our answers in multiplications, divisions and factorizations.
13.Nikhilam Navatascaram Dashtah
14.Gunaka Samuccayah
15.Gunita Samuccayah
16.Anurupye or Sunyamanyat