The **Kerala school of astronomy and mathematics** was a school of mathematics and astronomy founded by Madhava of Sangamagrama in Kerala, India, which included among its members: Parameshvara, Neelakanta Somayaji, Jyeshtadeva, Achyuta Pisharati, Melpathur Narayana Bhattathiri and Achyuta Panikkar. The school flourished between the 14th and 16th centuries and the original discoveries of the school seems to have ended with Narayana Bhattathiri (1559–1632). In attempting to solve astronomical problems, the Kerala school independently created a number of important mathematics concepts. Their most important results—series expansion for trigonometric functions—were described in Sanskrit verse in a book by Neelakanta called *Tantrasangraha*, and again in a commentary on this work, called *Tantrasangraha-vakhya*, of unknown authorship. The theorems were stated without proof, but proofs for the series for sine, cosine, and inverse tangent were provided a century later in the work *Yuktibhasa* (c.1500-c.1610), written in Malayalam, by Jyesthadeva, and also in a commentary on *Tantrasangraha*.

Their work, completed two centuries before the invention of calculus in Europe, provided what is now considered the first example of a power series (apart from geometric series). However, they did not formulate a systematic theory of differentiation and integration, nor is there any direct evidence of their results being transmitted outside Kerala.

Read more about Kerala School Of Astronomy And Mathematics: Possibility of Transmission of Kerala School Results To Europe

### Other articles related to "kerala school of astronomy and mathematics, kerala, astronomy, kerala school, and mathematics":

**Kerala School Of Astronomy And Mathematics**- Possibility of Transmission of Kerala School Results To Europe

... to Europe through the trade route from

**Kerala**by traders and Jesuit missionaries ...

**Kerala**was in continuous contact with China and Arabia, and Europe ... Indian work of series was known beyond India, or even outside of

**Kerala**, until the nineteenth century." ...

**Kerala School of Astronomy and Mathematics**

... The

**Kerala school of astronomy and mathematics**flourished for at least two centuries beyond Madhava ... The group also did much other work in

**astronomy**indeed many more pages are developed to astronomical computations than are for discussing analysis related results ... The

**Kerala school**also contributed much to linguistics (the relation between language

**and mathematics**is an ancient Indian tradition, see Katyayana) ...

### Famous quotes containing the words mathematics, astronomy and/or school:

“It is a monstrous thing to force a child to learn Latin or Greek or *mathematics* on the ground that they are an indispensable gymnastic for the mental powers. It would be monstrous even if it were true.”

—George Bernard Shaw (1856–1950)

“It is noticed, that the consideration of the great periods and spaces of *astronomy* induces a dignity of mind, and an indifference to death.”

—Ralph Waldo Emerson (1803–1882)

“...I believed passionately that Communists were a race of horned men who divided their time equally between the burning of Nancy Drew books and the devising of a plan of nuclear attack that would land the largest and most lethal bomb squarely upon the third-grade class of Thomas Jefferson *School* in Morristown, New Jersey.”

—Fran Lebowitz (b. 1950)