Monday, November 9, 2009

Walter Rudin

Walter Rudin (born 1921) is an American mathematician, currently a Professor Emeritus of Mathematics at the University of Wisconsin–Madison.

He is known for three of his books on mathematical analysis: Functional Analysis, Principles of Mathematical Analysis, and Real and Complex Analysis. The second and third books are affectionately called Baby Rudin and Big Rudin (or sometimes Papa Rudin) by math students.

Rudin was born into a Jewish family in Austria in 1921. They fled to France after the Anschluss in 1938. When France surrendered to Germany in 1940, Rudin fled to England and served in the British navy for the rest of the war. After the war he left for the United States, and earned his Ph.D. from Duke University in North Carolina in 1949. After that he was a C.L.E. Moore Instructor at MIT before becoming a professor at the University of Wisconsin–Madison.

In 1953, he married fellow mathematician Mary Ellen Estill. The two now reside in Madison, Wisconsin, in a home built by architect Frank Lloyd Wright.

Vahid Damanafshan

Reference: Wikipedia

Saturday, November 7, 2009

Bernhard Riemann

Georg Friedrich Bernhard Riemann (German pronunciation: [ˈriːman]; September 17, 1826July 20, 1866) was an influential German mathematician who made contributions to analysis and differential geometry, some of them enabling the later development of general relativity.

Early life

Riemann was born in Breselenz, a village near Dannenberg in the Kingdom of Hanover in what is Germany today. His father, Friedrich Bernhard Riemann, was a poor Lutheranian pastor in Breselenz who fought in the Napoleonic Wars. His mother died before her children had reached adulthood. Riemann was the second of six children, shy, and suffered from numerous nervous breakdowns. Riemann exhibited exceptional mathematical skills, such as fantastic calculation abilities, from an early age, but suffered from timidity and a fear of speaking in public.

Middle life

In high school, Riemann studied the Bible intensively, but he was often distracted by mathematics. To this end, he even tried to prove mathematically the correctness of the Book of Genesis. His teachers were amazed by his adept ability to solve complicated mathematical operations, in which he often outstripped his instructor's knowledge. During 1840, Riemann went to Hanover to live with his grandmother and attend lyceum (middle school). After the death of his grandmother in 1842, he attended high school at the Johanneum Lüneburg. In 1846, at the age of 19, he started studying philology and theology in order to become a priest and help with his family's finances.

During the spring of 1846, his father (Friedrich Riemann), after gathering enough money to send Riemann to university, allowed him to stop studying theology and start studying mathematics. He was sent to the renowned University of Göttingen, where he first met Carl Friedrich Gauss, and attended his lectures on the method of least squares.

In 1847, Riemann moved to Berlin, where Jacobi, Dirichlet, Steiner, and Eisenstein were teaching. He stayed in Berlin for two years and returned to Göttingen in 1849.

Later life

Bernhard Riemann held his first lectures in 1854, which founded the field of Riemannian geometry and thereby set the stage for Einstein's general theory of relativity. In 1857, there was an attempt to promote Riemann to extraordinary professor status at the University of Göttingen. Although this attempt failed, it did result in Riemann finally being granted a regular salary. In 1859, following Dirichlet's death, he was promoted to head the mathematics department at Göttingen. He was also the first to suggest using dimensions higher than merely three or four in order to describe physical reality[citation needed]—an idea that was ultimately vindicated with Einstein's contribution in the early 20th century. In 1862 he married Elise Koch and had a daughter.

Riemann fled Göttingen when the armies of Hanover and Prussia clashed there in 1866.[1] He died of tuberculosis during his third journey to Italy in Selasca (now a hamlet of Verbania on Lake Maggiore) where he was buried in the cemetery in Biganzolo (Verbania). Meanwhile, in Göttingen his housekeeper tidied up some of the mess in his office, including much unpublished work. Riemann refused to publish incomplete work and some deep insights may have been lost forever.[1]

Vahid Damanafshan,

Reference: Wikipedia

 
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