Difference between revisions of "Bernhard Riemann"
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Georg Friedrich '''Bernhard Riemann''' (1826-1866) is considered to be the greatest modern mathematician, and is the author of a very famous unsolved problem: the [[Riemann hypothesis]]. "It may ... be truly said of Riemann that he touched nothing that he did not in some measure revolutionize" and that he was "[o]ne of the most original mathematicians of modern times."<ref>E.T. Bell, "Men of Mathematics," 484 (1937).</ref> More than a dozen diverse, prominent mathematical fields or structures are named after Riemann (see below). Yet his [[Christianity]] was most important to him of all:<ref>https://godandmath.com/2012/04/24/christian-mathematicians-riemann/</ref> | Georg Friedrich '''Bernhard Riemann''' (1826-1866) is considered to be the greatest modern mathematician, and is the author of a very famous unsolved problem: the [[Riemann hypothesis]]. "It may ... be truly said of Riemann that he touched nothing that he did not in some measure revolutionize" and that he was "[o]ne of the most original mathematicians of modern times."<ref>E.T. Bell, "Men of Mathematics," 484 (1937).</ref> More than a dozen diverse, prominent mathematical fields or structures are named after Riemann (see below). Yet his [[Christianity]] was most important to him of all:<ref>https://godandmath.com/2012/04/24/christian-mathematicians-riemann/</ref> | ||
| − | {{cquote|During his life, [Riemann] held closely to his Christian [[faith]] and considered it to be the most important aspect of his life. At the time of his death, he was reciting the [[ | + | {{cquote|During his life, [Riemann] held closely to his Christian [[faith]] and considered it to be the most important aspect of his life. At the time of his death, he was reciting the [[Lord's Prayer]] with his wife and passed away before they finished saying the prayer.}} |
==Early life== | ==Early life== | ||
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==Riemannian geometry== | ==Riemannian geometry== | ||
| − | Riemann created a new type of geometry | + | Riemann created a new type of geometry, which was elliptical. Riemannian geometry then became the basis for advances in [[physics]] in the 20th century. |
| + | Most of the theorems of Riemannian geometry are different from their counterparts in Euclidian geometry. For example, the sum of the angles in a triangle in Riemannian geometry is greater than 180 degrees, which is the sum in Euclidian geometry. Also, there are no parallel lines in Riemannian geometry. | ||
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| + | ==Riemann hypothesis== | ||
| + | [[Riemann hypothesis]] remains the greatest unsolved problem in mathematics today. It was first proposed in Riemann's classic paper ''On the Number of Primes Less Than a Given Magnitude'' (1859).<ref>http://www.andrews.edu/~calkins/math/biograph/199899/bioriema.htm</ref> | ||
| + | |||
| + | == See also == | ||
| + | |||
| + | *[http://people.brandeis.edu/~cwe/pdfs/primes_and_riemann.pdf Mini-course on the Riemann hypothesis] | ||
== References == | == References == | ||
<references/> | <references/> | ||
Revision as of 22:51, July 24, 2018
Georg Friedrich Bernhard Riemann (1826-1866) is considered to be the greatest modern mathematician, and is the author of a very famous unsolved problem: the Riemann hypothesis. "It may ... be truly said of Riemann that he touched nothing that he did not in some measure revolutionize" and that he was "[o]ne of the most original mathematicians of modern times."[1] More than a dozen diverse, prominent mathematical fields or structures are named after Riemann (see below). Yet his Christianity was most important to him of all:[2]
| “ | During his life, [Riemann] held closely to his Christian faith and considered it to be the most important aspect of his life. At the time of his death, he was reciting the Lord's Prayer with his wife and passed away before they finished saying the prayer. | ” |
Early life
Riemann was born into an impoverished family in Germany, a devoutly Christian son of a Lutheran pastor. He was homeschooled by his father, and was sent to attend a prominent school (Johanneum at Luneburg) at the age of 16. Riemann quickly became bored with the math class and asked the director for more advanced material. The director gave him most advanced math books (including Leonhard Euler's works and Adrien Marie Legendre's Theory of Numbers). Riemann mastered them in merely a few days.[3]
Riemannian geometry
Riemann created a new type of geometry, which was elliptical. Riemannian geometry then became the basis for advances in physics in the 20th century.
Most of the theorems of Riemannian geometry are different from their counterparts in Euclidian geometry. For example, the sum of the angles in a triangle in Riemannian geometry is greater than 180 degrees, which is the sum in Euclidian geometry. Also, there are no parallel lines in Riemannian geometry.
Riemann hypothesis
Riemann hypothesis remains the greatest unsolved problem in mathematics today. It was first proposed in Riemann's classic paper On the Number of Primes Less Than a Given Magnitude (1859).[4]
See also
References
- ↑ E.T. Bell, "Men of Mathematics," 484 (1937).
- ↑ https://godandmath.com/2012/04/24/christian-mathematicians-riemann/
- ↑ http://www.andrews.edu/~calkins/math/biograph/199899/bioriema.htm
- ↑ http://www.andrews.edu/~calkins/math/biograph/199899/bioriema.htm