Georg Friedrich Bernhard

By: Supervised: Sandra Hanbo Dr. Vágó Zsuzsanna Biography • Born in 17 September 1826 in Breselenz, Kingdom of Hannover (Germany now) • Father : Friedrich . Poor Lutheran pastor • Mother: Charlotte Ebell • Wife: Elise Koch and they had a daughter Elda • Universities : University of Göttingen (1846) studying math under Gauss, University of Berlin (1847) continuing study by : , Peter Gustav Lejeune Dirichlet, Jakob Steiner, and Gotthold Eisenstein • Doctoral supervisor : • Honors awarded to Bernhard Riemann 1. Fellow of the Royal Society: 1866 2. Lunar features: Crater Riemann 3. Popular biographies list: 18 • Dead : 20 July 1866 in Selasca (Italy) Some of his Articles

• Basics for a general theory of functions of a changeable complex Size.- 1851 • On the Number of Primes Less Than a Given –1859 • On the laws of the distribution of voltage electricity in ponderable bodies, if these are not regarded as perfect conductors or non-conductors, but as reluctant to contain voltage electricity with finite force- - 1854 • On the theory of Nobili's color rings -1855 • Contributions to the theory of the functions that can be represented by the Gaussian F (α, β, γ,( .- 1857 • Theory of Abel's functions -1857 • About the disappearance of the theta functions - 1866 Some topics named after Riemann

• Cauchy–Riemann equations • • Riemann Geometry • • • • • Riemann's differential equation

• Riemann's explicit formula Riemann surface for f(z) = z1/2. Image by Leonid 2. • Riemann's minimal surface Famous Scientists – Bernard Riemann

And others … References:

• Articles: • "Bernhard Riemann." Famous Scientists. famousscientists.org. 28 May. 2017. Web. 4/7/2020 - . • Chai, Ching-Li , Riemann Forms, 12 March 2014- • E. PORTNOY ,Riemann’s contribution to differential geometry, Doi: 10.1016/0315-0860(82)90134-3 • Feldmann, Joel - The Cauchy–Riemann Equations - 19 January 2012- • Garrett, Paul- Riemann’s Explicit/Exact formula - 02 October 2010 - • H. FREUDENTHAL, Biography in Dictionary of Scientific Biography (New York 1970-1990). • Kim, Kang-Tae, The Riemann mapping theorem from Riemann's viewpoint- April 2016, Doi: 10.1186/s40627- 016-0009-7 • Meeks III, William H. , Pérez, Joaquín, The Riemann minimal examples,12 March 2018 , • Books: • Laugwitz, Detlef, Bernard Riemann Book , ISBN-13: 978-0-8176-4776-6 • Toro, E.F. , Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction, ISBN-13: 9783540498346 • , • Websites: • Britannica Encyclopedia • http://totallyhistory.com/bernhard-riemann/ • Wikipedia • https://www.claymath.org/sites/default/files/zeta.pdf • https://dlmf.nist.gov/15.11 • https://www.emis.de/classics/Riemann/ • http://mathshistory.st-andrews.ac.uk/Biographies/Riemann.html Thank you for attention

Sandra Hanbo