BERNHARD RIEMANN A SINGULAR MATHEMATICIAN VS THE GHOST OF EUCLID BY... NICOLAS BOURBAKI

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Published on Premiered Sep 19, 2020

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Bernhard Riemann was born in Breselenz, in the German state of Hanover, on 17 September 1826. During his university studies in GÖTTIGEN and Berlin he became interested in the theories of prime numbers, elliptic functions and geometry, which he related to the most advanced theories of physics. In Berlin he was a student of Jakob Steiner, Karl Jacobi and Peter Dirichlet, whom he succeeded in the chair at GÖTTINGEN. Thank you for watching the video. Twitter: /bourba10nicolas Instagram: /grupobourbaki Facebook: https://m.facebook.com/GRUPO-Bourbaki... Visit the physics channel: /@poldavocuantico4576 References and videos about Bernhard Riemann: https://www.britannica.com/biography/... https://math.berkeley.edu/~robin/Riem... https://mathshistory.st-andrews.ac.uk... https://www.um.es/acc/bernhard-riemann/ Works: Grundlagen für eine allgemeine Theorie der Funktionen einer veränderlichen complexen Grösse (Basics for a general theory of functions of a complex variable 1851). Published in Werke: Dissertation on the general theory of functions of a complex variable, based on what are now called Cauchy-Riemann equations. In it, he invented the Riemann surface instrument. Ueber die Darstellbarkeit einer Function durch eine trigonometrische Reihe (On the Representation of a Function by a Trigonometric Series, 1854) Published in Werke: Written as a way of accessing his position as Assistant Professor and in which he analyzed Dirichlet's conditions for the problem of representing functions in Fourier series. With this work, he defined the concept of the Riemann integral and created a new branch of mathematics: the theory of functions of a real variable. Ueber die Hypothesen, Welche der Geometrie zu Grunde liegen (On the Hypotheses Upon Which Geometry is Founded, 1854) Published in Werke: Transcription of a master class given by Riemann at the request of Gauss, which deals with the foundations of geometry. It is developed as a generalization of the principles of Euclidean and non-Euclidean geometry. The unification of all geometries is known today as Riemannian geometry and is basic to the formulation of Einstein's theory of relativity. Ueber die Anzahl der Primzahlem unter einer gegebenen Grösse (On the Number of Primes Less than a Given Quantity, 1859) Published in Werke: Riemann's most famous work. His only essay on number theory. Most of the article is devoted to prime numbers. In it he introduces the Riemann zeta function. • Prime numbers, Evariste Galois and Be... • The music of prime numbers - the r... • The Riemann Hypothesis, almost a century... • The Riemann Hypothesis and the probl... • Euler's Product and the ZET Function... • The Riemann Zeta Function The Riemann H... • From Riemannian geometry to the analysis... Comment, you can make suggestions for future videos. #Mathematics #Math #Riemann

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