... In 1855, Dirichlet succeeded Gauss in his position at GÖttingen, and Dedekind attended Dirichlet's lectures on the theory of numbers, potential theory, definite integrals, and partial differential equations. Dedekind was an avid admirer of Dirichlet and greatly valued his friendship. Of Dirichlet, Dedekind wrote, "What is most useful to me is the almost daily association with Dirichlet, with whom ... at as arithmetical operations, than it is also possible to demonstrate equations with irrational numbers which had never been done before, for example, the square root of 2 X the square ro...

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• Grade Level: Undergraduate

... , Archimedes, Apollonius, Euclid, and Democritus. They began using logic to explore new mathematical concepts. Pythagoras of Samos was one of the foremost logical minds of this age. He is the inventor of abstract mathematics, and the founder of the "Pythagoras Theorem-. This theorem is still used today, in modern geometric equations The Hindu Arabian Period (500A.D. - 1199A.D.), gave us Aryabhata the Elder and Muhammad ibn Musa ... pure math concepts. They do not deal in the practical use of mathematics, such as the use of everyday problems. They may teach in a college, university or wor...

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• Approx Pages: 6
• Grade Level: Undergraduate