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Sunday, June 21, 2020

GEORGE CANTOR


GEORGE CANTOR(1845-1912)








George cantor was one of the famous mathematician. George cantor called in full name George Ferdinand Ludwig Philip cantor . He was born on 3rd march, 1845 at st. Petersburg in Russia . He was a German mathematician who founded set theory and introduced the mathematically meaningful concept of transfinite numbers.
 Cantor's parents were Danish. Cantor is known for the inventor of set theory that later became a fundamental theory in  mathematics. His artistic mother was a Roman catholic came from a family of musicians and his father was a merchant . Cantor was the oldest of six children.
In 1956, George's father became ill and moved the family to "Frankfurt ". Cantor's mathematics talents emerged prior to his 15th birthday while he was studying in a private school. His father wanted to become him engineer and transferred to the university of Berlin to specialize in physic,philosophy and mathematics.
 He was taught by the mathematician " Karl Weierstrass "  whose specialization of analysis probably had the greatest influence on him. Ernst Edward kummer was specialized in higher arithmetic and Leopold Kronecker was specialist in the theory of number who latter opposed him . During his studying time he wrote his doctoral thesis in 1867 ," De Aequantionipus secundi Gradus Interminatis" .
                                      He also established the importance of one - to- one correspondence between the members of two sets ,who defined infinite and well defined ordered sets. He also proved the real number and also defined the cardinal and ordinal number. He first encountered sets while working on problems on trigonometric series . 
In 1884 ,cantor suffered from a nervous breakdown. Due to illness ,
 his application for teaching at Berlin as a professor was turned down . He founded the German mathematical in 1889 ,and also worked towards establishing the FIRST INTERNATIONAL CONGRESS OF MATHEMATICIANS. 
Probably he lost all of his enthusiasm for mathematics. During suffered from 2nd bout of depression in 1889 and the death of his son too worsened his condition.
He was awarded by Royal society from Sylvester Medal .
Lastly , He died on 6 Jan ,1912  at place Halle, in Germany.

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