Augustin Louis Cauchy 1789 – 1857 A Great Mathematician. MCS193 Term Project Prepared by : Koray ÖZSOY May 2013. Agenda. Introduction Biography Studies Theorems References. Introduction. Augustin -Louis Cauchy was one of the greatest mathematicians during the nineteenth century.

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CAUCHY. Continuity analysis of programs. Uncertainty and robustness . Trends: cyber-physical systems, integration of computation and science, … Uncertainty: stale satellite data, erroneous sensor measurements, … Does your program handle uncertainty robustly?

Cauchy-Schwarz. (Cauchy-Schwarz inequality) For any a1,…,an, and any b1,…bn. When n=1, LHS <= RHS. Proof by induction (on n):. When n=2, want to show. Consider. Cauchy-Schwarz. (Cauchy-Schwarz inequality) For any a1,…,an, and any b1,…bn. Induction step: assume true for <=n, prove n+1.

Augustin Cauchy. August 21, 1789 – May 23, 1857 1810 - Graduated in civil engineering and went to work as a junior engineer where Napoleon planned to build a naval base 1812 – (age 23) Lost interest in engineering, being more attracted to abstract mathematics

Figure 1. Inflow and Outflow of the x-component of linear momentum through each face of an infinitesimal control volume. Figure 2. Sketch illustrating the surface forces acting in the x direction due to the appropriate stress tensor component on each face of the differential control volume.

Nathan Carter Senior Seminar Project Spring 2012. Augustin-Louis Cauchy. Some History of Cauchy. Cauchy lived from August 21, 1789 to May 23, 1857. Cauchy spent most of his years as a mathematician in France. Cauchy was a French mathematician who found interest in analysis.

Teorema di Cauchy. Tetraedro di Cauchy. e j . z. n = n j e j. e z. . A z. F k = t k j e j. con k e j = x, y, z . n. F n = t n j e j. y. n. t y z. t x z. x. t y x. t x x. t y y. t x y. P. t z z. t z x. t z y. e y. . y. A y. . e x. z.

Augustin Louis Cauchy. 1789-1857 A Soulwinning Mathematician. Wrote 789 Mathematical papers Helped progress the study on partial differential equations Helped progress the study of polygons In 1811 he proved that the angles of a convex polyhedron are determined by its faces.

Augustin Louis Cauchy. (1789 bis 1857). Gliederung. 1. Biographie 2. Seine Werke. Biographie . Am 21. August 1789 in Paris geboren Vater: Louis - Francois Cauchy, Jurist und hoher Beamter in der vorrevolutionären Bürokratie