# Georg Friedrich Bernhard Riemann (by calculus3)

by MrReGlog
Last updated 2 years ago

Discipline:
Social Studies
Subject:
Historical biographies

In his 39 years, he introduced ideas of fundamental importance in complex analysis, real analysis, differential geometry (provided mathematical basis for general theory of relativity), number theory, and other subjects.

He lost his mother at an early age; his father and one of his sisters died in 1855. Riemann didn't make enough money as a private lecturer to support his sisters. An illness raging through his family was TB. He caught TB and died in 1866.

Riemann was given an 859-page textbook on Number Theory by Legendre. Six days later, he returned it, saying, ''That was a wonderful book! I have mastered it!'' And he did.

He introduced new general methods in the study of partial differential equations and applied them to produce the first major study of shock waves.

Georg Friedrich Bernhard Riemann

The Riemann hypothesis is one of the world's greatest unsolved problems. The Riemann hypothesis deals with the distribution of prime numbers. Prime numbers are only divisible by themselves and 1. Prime numbers occur with no definite pattern, but Riemann's hypothesis tries to define a pattern. Prime numbers have real world applications in mainly cryptography. An encryption code multiplies two prime numbers together and gets a result, usually a rather big number. People trying to break the encryption are only given the end result and need the factors of the end result. It is harder to find the factors than to multiply the factors together. Riemann's hypothesis gives a way to find the factors and may lead to a way to break the encryption, if proven true. So far, no one has proved or disproved his hypothesis. But, his hypothesis is true for the first 100 billion zeros. Mathematicians hope the hypothesis is true, for other mathematical principles are based off of it being true.

- Born: 17 September 1826 in Germany - Died: 20 July 1866 in Italy. - He was only 39 years old. - German mathematician

His study of non-Euclidean geometry helped Einstein develop his theory of relativity.

Modern Implications

Riemann found a new way to find the integral, which is now titled Riemann Sum.

The spherical model for elliptic geometry, the Riemann Sphere, is named after him. The names of other theorems and concepts throughout mathematics honor him and show the importance of his mathematical achievements.

He was the first to point out that the geometry on the surface of a sphere, spherical geometry, is a type of non-Euclidean geometry.

Historical Events (11826 - 1866) - Mormon church is organized by Joseph Smith at Nauvoo, Illinois. (1830). - The first baseball game is played in Cooperstown, NY. Photography invented. (1839). - Darwin publishes The Origin of Species. (1859). - Charleston's Fort Sumter in South Carolina starts the American Civil War (1861). - Western Union completes the transcontinental telegraph service (1861). - IN GOD WE TRUST first appears on United States' coins (1864).