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# VEDIC MATHS

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### VEDIC MATHS

1. 1. • • • • • • 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
2. 2. • • • 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.
3. 3. • • • • • 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)
4. 4. • • • • 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.
5. 5. • • • • • • 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.
6. 6. 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. • • • • • • • • • • • • • • • • 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
7. 7. 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
8. 8. 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
9. 9. 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