#indian mathematics

[all-things-india]

Fun Fact

Some of the earliest and significant developments of trigonometry were done in India. Influential works from the 4th–5th century AD, known as the Siddhantas,  first defined the sine as the modern relationship between half an angle and half a chord. Then Aryabhata expanded on these works in his book the Aryabhatiya. The oldest surviving sin and cos tables are from India, and other Indian mathematicians over time came to create accurate formulas to calculate sin, cos, inverse sin, and versine. Influencial mathemeticians include Bhaskara I, Brahmagupta, and Madhava.

-Frog

P.S. Sorry from the Indian subcontinent to anyone who has to study trig.

[all-things-india]

Fun Fact

The Pythagorean theorem was actually first proved non-axiomatically by an Indian mathematician called Baudhayana in his book the Baudhayana Sutra. He defined it as-

दीर्घचतुरस्रस्याक्ष्णया रज्जुः पार्श्वमानी तिर्यग् मानी च यत् पृथग् भूते कुरूतस्तदुभयं करोति ॥ dīrghachatursrasyākṣaṇayā rajjuḥ pārśvamānī, tiryagmānī, cha yatpṛthagbhūte kurutastadubhayāṅ karoti. The diagonal of an oblong produces by itself both the areas which the two sides of the oblong produce separately.

He also approximated the square root of 2 to 5 decimal places.

He lived sometime between the 7th-8th century BCE.

-Frog

Note- This week is Indian mathematics themed. To anyone who enjoys math- Enjoy!

[all-things-india]

Fun Fact 6

Srinivas Ramanujan one of India's most well known mathematicians was self taught. He studied primarily on is own. He often neglected studying other subjects in favour of studying math, to the extent of losing his scholarship to the university of Madras because of neglecting his other subjects. He lived in poverty for most of his life. He applied to the Indian Mathematical Society for permanent employment. Impressed by Ramanujan’s mathematical prowess, Ramachandra Rao supported his research for a time, but Ramanujan, unwilling to exist on charity, obtained a clerical post with the Madras Port Trust.

He was known for his advancements in the field of mathematics which were startling due to his lack of formal education. Although he was almost completely unaware of modern developments in mathematics, his mastery of continued fractions was unequaled by any living mathematician. He worked out the Riemann series, elliptic integrals, hypergeometric series, functional equations of the zeta function, and his own theory of divergent series, in which he found a value for the sum of such series using a technique he invented that came to be called Ramanujan summation

[all-things-india]

Fun Fact 5

The richest evidence of early mathematical activity in ancient India is found in the several 1st-millennium-bce Sulbasutras (“Cord-Rules”), collections of brief prose sentences prescribing techniques for constructing the brick fire altars where the sacrifices were to be carried out. Using simple tools of ropes and stakes, the altar builders could produce quite sophisticated geometric constructions, such as transforming one plane figure into a different one of equal area. The recorded rules also indicate knowledge of geometric fundamentals such as the Pythagorean theorem, values for the ratio of the circumference of a circle to its diameter (i.e., π), and values for the ratio of the diagonal of a square to its side (Square root of√2). 

In the classical period, (the start of the Gupta dynasty in 320 BC) mathematics in India began to flourish thanks to thinkers such as Mahavir and Brahmagupta. Trigonometric ratios, quadratic equations and their solutions, extraction of cube roots, summation of series and more were done during this period.

[all-things-india]

Fun Fact 4

Sorry for being MIA for a while. I've been sick, and will continue as planned from today.

Anyways- onto the fun fact. Shakuntala Devi, the human calculator was a supporter of the LGBTQ movement, and wrote a book titled ‘The World of Homosexuals’. It was inspired by the fact that her husband was gay, and she ended up divorcing him in 1979 as his homosexuality was an affected their marriage considerably.

In 1977 Shakuntala Devi derived the 23rd root of a 201 digit number in fifty seconds. The answer 546,372,891 was verified by calculations done at the US Bureau of Standards by the UNIVAC 1101 computer. A special program was written to perform such large calculation which took longer time than her to do the same.

She also had no traditional schooling, as her parents could not pay the 2 rupees per month school fee.

[constantlyarcticinferno]

A lyrical continuation of Lilavati’s Garden of Mathematics—where equations meet affection and the laws of algebra turn into laws of the heart.

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[ramanan50]

Infinity And Nothing Indian Mathematics

Time.Indian thought considers Infinity as a positive concept and 'Finite' is a negative concept in that What is Infinite is Real and what is Finite is because of our Limitations in Perception. On Infinity and what is Finite is a topic that needs

This is my fourth article in the series on History of Mathematics.  If the approach of Vedas to knowledge is different from the western concept of knowledge ( I have explained this in my last article), the approach for gaining such knowledge ,Apara , relating to mundane lifetime activities, which include Mathematics,in Indian system’ basic approach to basic axiom of Knowledge is totally different…

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[indiascience]

Learn Indian Mathematics Online From Indian Mathematicians

Explore the Indian Science Channel for informative videos on numerous Mathematics topics given by distinguished Indian Mathematicians. It will also coordinate interactive sessions where you can immediately interact with the eminent Indian math scientist & clear all your doubts about different Indian mathematics topics. India Science is an Over-The-Top science channel on Indian scientific inventions.