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[[Image:Cvx432.jpg|right|thumb]]
 
[[Image:Cvx432.jpg|right|thumb]]
 
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>
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{{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.}}
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{{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==
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Riemann created a new type of geometry that became useful in the next century, and his [[Riemann hypothesis]] remains the greatest unsolved problem in mathematics today.  It concerns the distribution of prime numbers and was first proposed in Riemann's class paper ''On the Number of Primes Less Than a Given Magnitude'' (1859).<ref>http://www.andrews.edu/~calkins/math/biograph/199899/bioriema.htm</ref>
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Riemann created a new type of geometry, which was elliptical.  Riemannian geometry then became the basis for advances in [[physics]] in the 20th century.
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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==
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[[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>
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== See also ==
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*[http://people.brandeis.edu/~cwe/pdfs/primes_and_riemann.pdf Mini-course on the Riemann hypothesis]
 
== References ==
 
== References ==
 
<references/>
 
<references/>
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