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VEDIC MATHS

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Page 1: VEDIC MATHS
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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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• 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)

History of Vedic MathsHistory of Vedic Maths

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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.

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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

• 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

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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When Number is close to 10n

1082=(100+2*8)=116 ; 82=64 Square=11664

1122=(100+2*12)=124 ;122=144 Square=124+1(125); 44=12544

932=(100-2*7)=86 ; (-7)2=49 Square=8649

When number is close to 50632=(25+13)=38 ;132 =169 Square=38+1(39); 69=3969

382=(25-12)=13 ;(-12)2=144 Square=13+1(14); 44=1444

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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

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Base=100 105*107

Surplus=5 and 7

1. 105+7 or 107+5=112

2. 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

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