This document discusses the history and development of Vedic mathematics by Jagadguru Swami Sri Bharati Krishna Tirthaji. It explains that Tirthaji rediscovered a system of unique mental calculation techniques from the Vedic texts between 1911-1918. This system, called Vedic mathematics, is based on 16 sutras or formulae that can be used to solve any type of mathematical problem quickly in the head. The techniques were popularized in the late 1960s when a book on the system reached London, renewing global interest in Vedic math.

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Jagadguru Swami Sri Bharati Krishna Tirthaji presented vedic maths .
Born in March, 1884 to P. Narasimha Shastri, who was originally
a tehsildar at Tirunelveli in Madras Presidency.
Narasimha Shastri later became the Deputy Collector of the Presidency.
Tirthaji earlier known as Venkatraman was born in a highly illustrious family.
His uncle, Chandrasekhara Shastri was the Principal of the Maharaja's College
in Vizianagaram, while his great-grandfather, Justice C. Ranganath Shastri was
a judge in the Madras High Court.
Tirthaji was considered an exceptional scholar; by age twenty
he had studied at a number of colleges and universities
throughout the country, been awarded the title of ‘Saraswati’
by the Madras Sanskrit Association for his remarkable
proficiency in Sanskrit
Tirthaji resolved to study several sections of the Atharva-veda that
had been dismissed by Orientalists, Indologists and antiquarian
scholars as nonsensical

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The astonishing system of calculation, which was originally born in the Vedic Age and was
deciphered during the start of the 20th century, is what we know as Vedic Mathematics.
It is a unique technique of calculations based on simple rules and principles, with which
any mathematical problem - be it arithmetic, algebra, geometry or trigonometry - can be
solved, hold your breath, orally
It is entirely based on 16 word-formulae also known as the Sutras and 14 sub sutras.

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History of Vedic Maths
A hundred years ago Sanskrit scholars were translating the
Vedic documents and were surprised at the depth and breadth
of knowledge contained in them. But some documents headed
"Ganita Sutras", which means mathematics.
Tirthaji who presented vedic maths emerged claiming to have
deciphered 16 fundamental mathematical sutras in the Vedas,
which today have become the foundation of Vedic
mathematics.
16 fundamental mathematical sutras were derived from the
Ganit sutras.
Sutras cover every branch of mathematics, from arithmetic to
spherical conics, and that “there is no mathematics beyond
their jurisdiction”.
It was rediscovered from the Vedas between 1911 and 1918 by
Sri Bharati Krsna Tirthaji (1884-1960)

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Vedic math was immediately hailed as a new alternative system of
mathematics, when a copy of the book reached London in the late 1960s.
Some British mathematicians, including Kenneth Williams, Andrew Nicholas d
Jeremy Pickles took interest in this new system.
In 1981, this was collated into a book entitled Introductory Lectures on Vedic
Mathematics.
A few successive trips to India by Andrew Nicholas between 1981 and 1987,
renewed the interest on Vedic math, and scholars and teachers in India started
taking it seriously.

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There are obviously many advantages of using a flexible, refined and efficient
mental system like Vedic math.
Pupils can come out of the confinement of the only one correct' way, and make
their own methods under the Vedic system.
Thus, it can induce creativity in intelligent pupils, while helping slow-learners
grasp the basic concepts of mathematics.
A wider use of Vedic math can undoubtedly generate interest in a subject that is
generally dreaded by children
The ‘difficult’ problems or the time consuming huge sums can often be solved
quickly and without any mistakes by using the Vedic method.
Students can discover their very own methods; which leads to more
imaginative, interested and intelligent students.

7. This unique technique of Calculations based on a set of 16 sutras or aphorisms or
formulae and their upa-sutras or corollaries derived from these sutras.
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By one more than the one before.
All from 9 and the last from 10.
Vertically and Cross-wise
Transpose and Apply
If the Samuccaya is the Same it is Zero
If One is in Ratio the Other is Zero
By Addition and by Subtraction
By the Completion or Non-Completion
Differential Calculus
By the Deficiency
Specific and General
The Remainders by the Last Digit
The Ultimate and Twice the Penultimate
By One Less than the One Before
The Product of the Sum
All the Multipliers
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Proportionately
The remainder remains constant
The first by the first and the last by the
last
For 7 the multiplicand is 143
By osculation
Lessen by the deficiency
Whatever the deficiency lessen by that
amount and set up the square of the
deficiency
Last totalling 10
Only the last terms
The sum of the products
By alternative elimination and retention
By mere observation
The product of the sum is the sum of the
products
On the flag

8. When Number is close to 10n
1082=(100+2*8)=116 ; 82=64
1122=(100+2*12)=124 ;122=144
932=(100-2*7)=86 ; (-7)2=49
Square=11664
Square=124+1(125); 44=12544
Square=8649
When number is close to 50
632=(25+13)=38 ;132 =169
382=(25-12)=13 ;(-12)2=144
Square=38+1(39); 69=3969
Square=13+1(14); 44=1444

9. When Number is having a surplus to 10n
1043
Base=100 Surplus=4
(100+3*4) 3*42 43=Cube
(100+3*4)=112 ;3*42=48 ;43=64 Cube=1124864
1093
Base=100 Surplus=9
(100+3*9)3*92 93=Cube
(100+3*9)=127 ; 3*92=243 ;93 =729
Cube=127+2(129) ;43+7(50);29=1295029

10. Base=100
105*107
Surplus=5 and 7
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105+7 or 107+5=112
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7*5=35
Product=11235
112*113
Surplus=12 and 13
1.
112+13 or113+12=125
2.
12*13=159
Product=125+1(126) 59=12659
92*97
Deficit=-8 and -3
1. 92-3 or 97-8=89
2. -8*-3=24
Product=8924