1. 1789 – 1857 A Great Mathematician Augustin Louis Cauchy 1789 – 1857 A Great Mathematician MCS193 Term Project Prepared by: Koray ÖZSOY May 2013 1

2. Agenda Introduction Biography Studies Theorems References 2

3. Introduction Augustin-Louis Cauchy was one of the greatest mathematicians during the nineteenth century. There are sixteen concepts and theorems named after him, more than any other mathematician. 3

4. Biography Paris on Aug. 21, 1789 Louis François, Marie-Madeleine Laplace and Berthollet as neighbors Not show him any mathematical text École Centrale du Panthéon École Polytechnique in 1805 Aloïse de Bure in 1818 Decided to leave in France Back to Paris in 1838 Died at the age of 68 4

5. Studies Leçons sur le Calcul Différentiel in 1829 Cours d’Analyse in 1821 Exercises de Mathematiques in 1826 789 Article 5

6. Theorems Cauchy's integral theorem in complex analysis, also Cauchy's integral formula Cauchy's integral theoremCauchy's integral formula Cauchy's mean value theorem in real analysis, an extended form of the mean value theorem Cauchy's mean value theorem Cauchy's theorem (group theory) Cauchy's theorem (geometry) on rigidity of convex polytopes Cauchy's theorem (geometry) The Cauchy–Kovalevskaya theorem concerning partial differential equationsCauchy–Kovalevskaya theorem The Cauchy–Peano theorem in the study of ordinary differential equationsCauchy–Peano theorem 6

7. Cauchy’s Integral Theorem 7

8. Men die but their works endure. 8

9. References http://math.berkeley.edu/~robin/Cauchy/ http://biography.yourdictionary.com/augustin-louis- cauchy http://www.powershow.com/view1/20c65c- ZjU2M/Augustin_Louis_Cauchy_powerpoint_ppt_pre sentation http://www.matematikdunyasi.org/arsiv/PDF/08_2_5 1_57_CAUCHY.pdf http://en.wikipedia.org/wiki/Augustin-Louis_Cauchy 9

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