A biography of george friedrich bernhard riemann a german mathematician

Early years[ edit ] Riemann was born on September 17, in Breselenza village near Dannenberg in the Kingdom of Hanover. His mother, Charlotte Ebell, died before her children had reached adulthood. Riemann was the second of six children, shy and suffering from numerous nervous breakdowns. Riemann exhibited exceptional mathematical skills, such as calculation abilities, from an early age but suffered from timidity and a fear of speaking in public.

A biography of george friedrich bernhard riemann a german mathematician

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His mother died before her children were grown. 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.

To this end, he even tried to prove mathematically the correctness of the Book of Genesis. His teachers were amazed by his genius and his ability to solve extremely complicated mathematical operations. InRiemann went to Hanover to live with his grandmother and attend lyceum middle school.

Inhis father Friedrich Riemannafter gathering enough money to send Riemann to university, allowed him to stop studying theology and start studying mathematics. Although this attempt failed, it did result in Riemann finally being granted a regular salary.

He was also the first to propose the theory of higher dimensions [ citation needed ], which greatly simplified the laws of physics. In he married Elise Koch and had a daughter.

A biography of george friedrich bernhard riemann a german mathematician

He died of tuberculosis on 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. This haste for a sick man may have hastened his end.

No one else has yet proved it and another paper suggests that he had at least the bones of a proof [1].

These would subsequently become major parts of the theories of Riemannian geometryalgebraic geometryand complex manifold theory. This area of mathematics is part of the foundation of topologyand is still being applied in novel ways to mathematical physics.

Riemann made major contributions to real analysis. He defined the Riemann integral by means of Riemann sumsdeveloped a theory of trigonometric series that are not Fourier series —a first step in generalized function theory—and studied the Riemann-Liouville differintegral.

He made some famous contributions to modern analytic number theory. In a single short paper the only one he published on the subject of number theoryhe introduced the Riemann zeta function and established its importance for understanding the distribution of prime numbers. He made a series of conjectures about properties of the zeta function, one of which is the well-known Riemann hypothesis.

He applied the Dirichlet principle from variational calculus to great effect; this was later seen to be a powerful heuristic rather than a rigorous method. Its justification took at least a generation. His work on monodromy and the hypergeometric function in the complex domain made a great impression, and established a basic way of working with functions by consideration only of their singularities.

Over many months, Riemann developed his theory of higher dimensions. The subject founded by this work is Riemannian geometry. Riemann found the correct way to extend into n dimensions the differential geometry of surfaces, which Gauss himself proved in his theorema egregium.

The fundamental object is called the Riemann curvature tensor. For the surface case, this can be reduced to a number scalarpositive, negative or zero; the non-zero and constant cases being models of the known non-Euclidean geometries.

Riemann biography

Riemann found that in four spatial dimensions, one needs a collection of ten numbers at each point to describe the properties of a manifoldno matter how distorted it is.Georg Friedrich Bernhard Riemann (pronounced REE man or in IPA: ; September 17, – July 20, ) was an extremely influential German mathematician who made important contributions to analysis and differential geometry, some of them paving the way for the later development of general initiativeblog.comnce: Germany.

Jan 03,  · Bernhard Riemann Mathematician Specialty Analysis, number theory, differential geometry Born Sep. 17, Breselenz, Kingdom of Hanover (modern-day Germany) Died Jul.

20, (at age 39) Selasca, Kingdom of Italy Nationality German The name of Bernhard Riemann is well-known to mathematicians and physicists around the world. This influential German mathematician . Georg Friedrich Bernhard Riemann Emilio Ferral Bernhard Riemann’s life George Friedrich Bernhard Riemann, or Bernhard Riemann, was born in in Breselenz in what was the Riemann is considered a German mathematician, although Germany did not become a country until after his death, in Before then, the area that is now .

Friedrich Riemann acted as teacher to his children and he taught Bernhard until he was ten years old. At this time a teacher from a local school named Schulz assisted in Bernhard's education. In Bernhard entered directly into the third class at the Lyceum in Hannover.

Bernhard Riemann was a German mathematician who had a profound impact on mathematics and physics. His ideas in non-Euclidean geometry helped set the stage for Einstein’s work on relativity.

A biography of george friedrich bernhard riemann a german mathematician

He also came up with what came known as the Riemann zeta function and the Riemann hypothesis, a hypothesis that has not been proven despite a . Georg Friedrich Bernhard Riemann (German: [ˈɡeːɔɐ̯k ˈfʁiːdʁɪç ˈbɛɐ̯nhaɐ̯t ˈʁiːman, geˈɔɐ̯k -] ; 17 September – 20 July ) was a German mathematician who made contributions to analysis, number theory, and differential geometry.

Bernhard Riemann - Wikipedia