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La Vie De Blaise Pascal Et Son Heritage Mathématique Et Philosophique, Katherine Weeks
La Vie De Blaise Pascal Et Son Heritage Mathématique Et Philosophique, Katherine Weeks
Honors Theses
This paper will discuss the life of Blaise Pascal, his philosophy and mathematics. We will first study the life of Pascal, by looking at his family, the success of his family, and how he was educated. We will then move onto study the history of the arithmetic triangle, which eventually becomes known as Pascal’s Triangle. Finally we will look at Pascal’s Pensées. Finally we will conclude that Pascal is not only known for Pascal’s Triangle but also his legacy in the Philosophic world. It becomes clear that Pascal would not have been the mathematician he was without the philosophy, and …
The Calculus Of Variations, Erin Whitney
The Calculus Of Variations, Erin Whitney
Honors Theses
The Calculus of Variations is a highly applicable and advancing field. My thesis has only scraped the top of the applications and theoretical work that is possible within this branch of mathematics. To summarize, we began by exploring a general problem common to this field, finding the geodesic be-tween two given points. We then went on to define and explore terms and concepts needed to further delve into the subject matter. In Chapter 2, we examined a special set of smooth functions, inspired by the Calabi extremal metric, and used some general theory of convex functions in order to de-termine …
A General Look At Posets Rings And Lattices, Courtney A. Phillips
A General Look At Posets Rings And Lattices, Courtney A. Phillips
Honors Theses
A lattice is a type of structure that aims to organize certain relationships that exist between members of a set. This thesis seeks to define lattices, and demonstrate the different types. It will give examples of lattices, as well as various ways to describe and classify them.