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Transcript of Bernhard Riemann
Due Jan. 3rd Bernhard Riemann "If only I had the theorems! Then I should find the proofs easily enough. " The Director of Bernhard's high school once lent him Legendre's book on the theory of numbers and he read the 900 page book in 6 days What really stood out to me was how Bernhard found a way to overcome the roadblocks in his way of his goal of studying mathematics. His father wanted him to study Theology, but Bernhard asked him if he could change courses, and he did. Another obstacle was the fact that one of the schools he attended did not teach high level mathematics, so he continued reaching out to his goal and switched schools. He has such a passion for it that he refused to let any obstacles get in his way. Bernhard Riemann searched to develop a system of geometry that didn't deal with points, lines or shapes in the way they are normally percieved. One example of this is his hypothesis that "every line on a point not on a given line meets that given line."
This statement basically says that it is mathematically impossible to have a truely parallel line, that it will always intersect that line. Bernhard Riemann was son of a Lutheran minister and the brother of 6 siblings. He didn't attend school at an early age but was taught by his dad until he was 10 years old. Later on, a teacher from a local school assisted in his education. When he was 14, he entered directly into the third class at the Lyceum high school in Germany and lived with his grandmother at the time. Two years later, his grandmother died and he moved to a senior secondary school. "Riemann biography." MacTutor History of Mathematics. N.p., n.d. Web. 31 Dec. 2012. <http://www-history.mcs.st-andrews.ac.uk/Biographies/Riemann.html>. Work Cited Overview of the importance of proofs in mathematics and proof of stereographic projection theorem (Could not find any video less than 5 minutes) His father encouraged Bernahrd to study Theology, and thats what he did. However, he transferred to philosophy so that he could study mathematics. The University he was at only taught elementary courses in mathematics so Bernahard moved to Berlin University in 1847. The main person to influence him at this time was his professor, Johann Dirichlet because they had a special bond and he learned many things from him including a variational principle which he later called the "Dirichlet Principle". Views and Contributions "Mathematical Contributions | Bernhard Riemann." The Middlebury Blog Network | Selected Posts from the Midd Blogosphere. N.p., n.d. Web. 31 Dec. 2012. <http://blogs.middlebury.edu/fyse1229hunsicker/mathematical-contributions/>. He also believed in transforming all laws concerning points into dimensions higher than 3 or 4. Derbyshire, John. Prime obsession: Bernhard Riemann and the greatest unsolved problem in mathematics. Washington, DC: Joseph Henry Press, 2003. Print. Experiences and Influences in his Life I learned that Bernhard Riemann transferred to many schools and didn't start off studying mathematics. He started off studying Theology but after attending some mathematics lectures, he took a liking to mathematics. I also learned that Bernhard enjoyed looking deeper into geometry to discover information and facts and about points and lines in a way no one else had seen them before. Correspondence to Math Curriculum Throughout my entire Geometry book, we learn about Theorems and proofs. This is what Bernhard Riemann focused on and he even came up with his own thesis on general theory of complex variables. His thesis looked into the geometric properties and connectivity of surfaces which we also learn in our Geometry class Youtube (video) Google images (pictures)