Indian Mathematics

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Indian Mathematics

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Vedic Mathematics

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Sri Chakra Yantra, was designed by our ancient Vedic mathematicians. It contained most of the plane shapes.

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In the ancient times, Homas and Yagnas formed a very important part of life These homa kundas had a fixed shape and size . They were mostly squares or cubes

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Contributions: Calculating the value of π   With investigating the Pythagorean theorem. Baudhāyana, (fl. c. 800 BCE) is noted as the author of the earliest Sulba-Sutra

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YAJNAVALKYA was a legendary sage of Vedic India His works are: Yogayajnavalkya Samhita Yājñavalkya Smṛti . He was the first to describe the 95-year cycle to synchronize the motions of the sun and the moon. He was the first to describe the 95 year old cycle of Sun and moon

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Manava's Sulbasutra, gave the approximate value of pi as 25/8 or 3.125 MANAVA WAS THE AUTHOR OF ONE OF SULABASUTRA.

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Pāṇini  was an Ancient Indian Sanskrit grammarian from Gandhara (fl. 4th century BC). Panini was the first to come up with the idea of using letters of the alphabet to represent numbers.

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Classical Mathematics

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Aryabhata (476–550 CE) is famous for his work the Aryabhatiya Contributions: Invention of zero Place value system Pi as irrational number Area of Triangle

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Varāhamihira (505 – 587), was one of the nine jewels (Navaratnas) of the court of legendary king Vikramaditya Contributions: Discovery of the following Trigonometric Idendities: Calculations on Premutations and Combinations. Brahmagupta (598–668) was the author of Brahmasphutasiddhanta. Contributions: A method for computing square roots, Methods of solving linear and quadratic equations,

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Other famous mathematicians are: Bhāskara I: Formulae for sine and cos functions Sridhara: For the invention of Quadratic formula

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BHASKARA  (1114–1185), also known as Bhaskara Achārya was the compiler of LILAVATI First person to find Derivatives and Calculus He also invented the spherical trigonometry Many formulae for MULTIPLICATIONS

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If the total number of flowers is x: X = (1/3+1/5+1/6+1/4)x + 6 X = 57x/60 + 6 X = 120 So, there were 120 lotus flowers

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Medieval Mathematics

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WARS vs MATHEMATICS: Mughal period saw hundereds of wars in its period. Wars involve many Tactics Calculations and Formations which is impossible without math.

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Here notice the Square formations and the Vajra formation

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MUGHAL ARCHITECTURE: The hundreds of monuments and buildings built by the Mughal see so complex yet they are very simple They consist of simple shapes such as cubes cuboids and a hemispherical domes

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RAJA TODAR MAL  was the Finance Minister in Akbar's Darbar of the Mughal empire. Raja Todar Mal introduced : Standard weights and measures, A land survey and settlement system, Revenue districts and officers.

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Formation of lines and Semicircles

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Maths in 1800's

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Kummi Dance is one the dance forms which is based on mathematical manipulations and combinations

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Srīnivāsa Aiyangār Rāmānujan  (22 December 1887 – 26 April 1920) was an Indian mathematician and autodidact who, with almost no formal training in pure mathematics, made substantial contributions to mathematical analysis, number theory, infinite series and continued fractions. His notable works: Landau–Ramanujan constant Mock theta functions Ramanujan conjecture Ramanujan prime Ramanujan–Soldner constant Ramanujan theta function Ramanujan's sum

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1729 is the Hardy–Ramanujan number

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Ramanujan Number It is the famous anecdote that had since then led to integer solutions to L3 + J3 = K3 + L3

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Concentric circle formation

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Ramanujan summation is a technique invented by the mathematician Srinivasa Ramanujan for assigning a sum to infinite divergent series Ramanujan graph, named after Srinivasa Ramanujan, is a regular graph whose spectral gap is almost as large as possible

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Other mathematicians of this era are: Ganesh Prasad : The father of mathematical research in India A. A. Krishnaswami Ayyangar: Intensive research on Vedic Mathematics Ramachandra: Way to use algebra to solve all types of problems that involve maxima and minima

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Today's Mathematicians 15,032 x 45,690,345 = 686,817,266,040

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Shakuntala Devi is a calculating prodigy who was born on November 4, 1939 in a Brahmin family in Bangalore. BOOKS: Puzzles to Puzzle You Book of Numbers Figuring: The Joy of Numbers

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Harish-Chandra Born October 11, 1923(1923-10-11) Known for Lie algebra Theory of Arithmetic Groups Notable awards Fellow of the Royal Society Cole Prize

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Industry and business provide many areas for the application of advanced mathematics, business is looking for mathematicians for their Skills in abstraction, analysis of structure, and logical thinking Expertise in formulating and solving problems It was math, that gave rise to the invention of computers. Computers without math is impossible. Even the simplest program must be written using simple math and logics.

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When you think math you should think numbers -- not just geometric figures but musical triangles – because math is the reason of sound and music. Sound is the variation of air pressure. The simplest sounds, called pure tones are represented by f(t) = A sin(2 pi w t) Music

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Dance beats have a rhythm of math calculations

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INTERSECTING LINES

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