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  • Essay / Biography of Bernhard Riemann - 1160

    Georg Friedrich Bernhard Riemann was a revolutionary mathematician. He was born on September 17, 1826 in Breselenz, a village in Germany. His father, Friedrich Bernhard Riemann, who was a Lutheran pastor, taught Riemann until he was ten years old. Then Georg Friedrich Bernhard Riemann was taught by a teacher at a local school. Riemann always showed an interest in mathematics, particularly when he was studying in Lüneburg at the age of fourteen. His teacher gave him a textbook on number theory by Legendre and six days later, Riemann had finished the 859-page book claiming to have mastered it. At the age of nineteen, Riemann attended the University of Göttingen in Germany. It was there that he began to formulate ideas and theories that would radically change the world of mathematics forever. In 1851, Riemann completed his doctoral dissertation on the theory of complex functions in Göttingen for geometry. He combined the theory of complex functions, the theory of harmonic functions with the theory of potential and discovered that the existence of a large class of complex functions met only modest requirements. This proved that “complex functions could be widely used in mathematics and that the theories of complex and harmonic functions were now inseparable. Riemann also presented the extension of the Laurent series for functions with poles and branch points. His mapping theorem stated that "any simply connected domain of the complex plane having at least two boundary points can be conformally mapped onto the unit disk". This led to the idea of ​​conformal mapping and simple connectivity. Riemann then decided to take Gauss's geometric studies even further after Gauss asserted that one should ignore Euclidean space and treat each medium of paper...... in a geodesic coordinate system, a such metric is flat Euclidean. , in the same way that a surface curved up to higher order terms resembles its tangent plane. Beings living on the surface can discover the curvature of their world and calculate it at any time based on observed deviations from the Pythagorean theorem. » In addition to developing his own hypotheses and studies, Georg Friedrich Bernhard Riemann was a source of inspiration for countless mathematicians. GOOD. Riemann's work on algebraic loci and functions was studied in more detail by Charles-Émile Picard and Poincaré. The two men were able to prove that a location given by an equation f (x, y) = O can intersect at isolated points but also along curves. Riemann also inspired the infamous Albert Einstein. Obviously, Einstein's theory of general relativity was based on Riemann's ideas about Riemannian geometry..