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C o n t r i b u t e
● H e l p ● L e a r n t o e d i t ● C o m m u n i t y p o r t a l ● R e c e n t c h a n g e s ● U p l o a d f i l e
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Search
A p p e a r a n c e
● C r e a t e a c c o u n t ● L o g i n
P e r s o n a l t o o l s
● C r e a t e a c c o u n t ● L o g i n
P a g e s f o r l o g g e d o u t e d i t o r s l e a r n m o r e ● C o n t r i b u t i o n s ● T a l k
( T o p )
1 S e e a l s o
2 R e f e r e n c e s
3 E x t e r n a l l i n k s
T o g g l e t h e t a b l e o f c o n t e n t s
W i l l i a m S h a n k s
1 8 l a n g u a g e s
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E d i t l i n k s
● A r t i c l e ● T a l k
E n g l i s h
● R e a d ● E d i t ● V i e w h i s t o r y
T o o l s
T o o l s
A c t i o n s
● R e a d ● E d i t ● V i e w h i s t o r y
G e n e r a l
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● W i k i m e d i a C o m m o n s
A p p e a r a n c e
F r o m W i k i p e d i a , t h e f r e e e n c y c l o p e d i a
T h i s i s a n o l d r e v i s i o n o f t h i s p a g e , a s e d i t e d b y 5 . 1 9 7 . 1 4 8 . 7 2 ( t a l k ) at 1 7 : 1 4 , 2 6 J a n u a r y 2 0 1 9 . T h e p r e s e n t a d d r e s s ( U R L ) i s a p e r m a n e n t l i n k t o t h i s r e v i s i o n , w h i c h m a y d i f f e r s i g n i f i c a n t l y f r o m t h e c u r r e n t r e v i s i o n . ( d i f f ) ← P r e v i o u s r e v i s i o n | L a t e s t r e v i s i o n ( d i f f ) | N e w e r r e v i s i o n → ( d i f f )
William Shanks
Born (1812-01-25 ) 25 January 1812Died 1882 (aged 70) Scientific career Fields Amateur calculator, school owner
Shanks' approximation to π, published in 1853
William Shanks (25 January 1812 – June 1882)[1] British amateur mathematician.
Shanks is famous for his calculation of π [2] D. F. Ferguson (using a mechanical desk calculator ).[3]
Shanks earned his living by owning a boarding school at Houghton-le-Spring , which left him enough time to spend on his hobby of calculating mathematical constants. His routine was as follows: he would calculate new digits all morning; and then he would spend all afternoon checking his morning's work. To calculate π , Shanks used Machin's formula :
π
4
=
4 arctan
(
1 5
)
−
arctan
(
1 239
)
{\displaystyle {\frac {\pi }{4}}=4\arctan \left({\frac {1}{5}}\right)-\arctan \left({\frac {1}{239}}\right)}
Shanks's approximation was the longest expansion of π until the advent of the electronic digital computer about one century later.
Shanks also calculated e Euler–Mascheroni constant γ to many decimal places. He published a table of primes up to 60 000 and found the natural logarithms of 2, 3, 5 and 10 to 137 places.
Shanks died in Houghton-le-Spring, County Durham, England in June 1882, aged 70, and was buried at the local Hillside Cemetery on 17 June 1882.[4]
See also
References
^ "Shanks's Biography" . School of Mathematics and Statistics, University of St Andrews, Scotland. Retrieved 2012-10-30 .
^ Houghton le Spring Hillside Cemetery
External links
R e t r i e v e d f r o m " https://en.wikipedia.org/w/index.php?title=William_Shanks&oldid=880297842 " C a t e g o r i e s : ● 1 8 1 2 b i r t h s ● 1 8 8 2 d e a t h s ● 1 9 t h - c e n t u r y E n g l i s h m a t h e m a t i c i a n s ● Pi ● A m a t e u r m a t h e m a t i c i a n s ● P e o p l e f r o m H o u g h t o n - l e - S p r i n g H i d d e n c a t e g o r i e s : ● A r t i c l e s w i t h h C a r d s ● A r t i c l e s w i t h Z B M A T H i d e n t i f i e r s
● T h i s p a g e w a s l a s t e d i t e d o n 2 6 J a n u a r y 2 0 1 9 , a t 1 7 : 1 4 ( U T C ) . ● T h i s v e r s i o n o f t h e p a g e h a s b e e n r e v i s e d . B e s i d e s n o r m a l e d i t i n g , t h e r e a s o n f o r r e v i s i o n m a y h a v e b e e n t h a t t h i s v e r s i o n c o n t a i n s f a c t u a l i n a c c u r a c i e s , v a n d a l i s m , o r m a t e r i a l n o t c o m p a t i b l e w i t h t h e C r e a t i v e C o m m o n s A t t r i b u t i o n - S h a r e A l i k e L i c e n s e . ● P r i v a c y p o l i c y ● A b o u t W i k i p e d i a ● D i s c l a i m e r s ● C o n t a c t W i k i p e d i a ● C o d e o f C o n d u c t ● D e v e l o p e r s ● S t a t i s t i c s ● C o o k i e s t a t e m e n t ● M o b i l e v i e w
