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surachet 24 มิถุนายน 2012 01:09

ประวัตินักคณิตศาสตร์
 
รบกวนหน่อยครับช่วยหาประวัตินักคณิตศาสตร์
1. Wallis?s Formula
2. Leibniz?s Series
3. Gregory?s Series

ขอบคุณครับ

share 27 มีนาคม 2021 13:10


อืม น่าเห็นใจจริง ๆ
มิถุนายน 2012 บ้านเรา net ยังไม่ถึงไหนเลย
ค้นคว้าลำบากมาก



Gregory's series, is an infinite Taylor series expansion of the inverse tangent function.
It was discovered in 1668 by James Gregory.
It was re-rediscovered a few years later by Gottfried Leibniz,
who re obtained the Leibniz formula for ฯ€ as the special case x = 1 of the Gregory series.[1]

The earliest person to whom the series can be attributed with confidence is
Madhava of Sangamagrama (c. 1340 โ€“ c. 1425).
The original reference (as with much of Madhava's work) is lost,
but he is credited with the discovery by several of his successors in
the Kerala school of astronomy and mathematics founded by him.

share 27 มีนาคม 2021 21:20

John Wallis (/หˆwษโ€™lษชs/;[2] Latin: Wallisius;
3 December [O.S.23 November] 1616 โโ‚ฌโ€œ 8 November [O.S. 28 October] 1703)
was an English clergyman and mathematician who is given partial credit for
the development of infinitesimal calculus.

Between 1643 and 1689 he served as chief cryptographer for Parliament and, later, the royal court.[3]
He is credited with introducing the symbol โˆž to represent the concept of infinity.[4]

He similarly used 1/โˆž for an infinitesimal. John Wallis was a contemporary of Newton and
one of the greatest intellectuals of the early renaissance of mathematics.[5]

Wiki

share 27 มีนาคม 2021 21:22

Wallisโ€™ Formula

Hereโ€™s a fun formula for Pi involving an infinite product, known as Wallisโ€™ Formula:

(Pi/2) = (2*2)(4*4)(6*6)/(1*3)(3*5)(5*7)

It is somewhat surprising that when you pull out every other pair of terms, you get a completely different kind of number!

Sqrt[2] = (2*2)(6*6)(10*10)/(1*3)(5*7)(9*11)

https://math.hmc.edu/funfacts/wallis-formula/


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