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Gauss-Bonnet Formula, Heather Ann Broersma
Gauss-Bonnet Formula, Heather Ann Broersma
Theses Digitization Project
From fundamental forms to curvatures and geodesics, differential geometry has many special theorems and applications worth examining. Among these, the Gauss-Bonnet Theorem is one of the well-known theorems in classical differential geometry. It links geometrical and topological properties of a surface. The thesis introduced some basic concepts in differential geometry, explained them with examples, analyzed the Gauss-Bonnet Theorem and presented the proof of the theorem in greater detail. The thesis also considered applications of the Gauss-Bonnet theorem to some special surfaces.
The Riemann Zeta Function, Ernesto Oscar Reyes
The Riemann Zeta Function, Ernesto Oscar Reyes
Theses Digitization Project
The Riemann Zeta Function has a deep connection with the distribution of primes. This expository thesis will explain the techniques used in proving the properties of the Rieman Zeta Function, its analytic continuation to the complex plane, and the functional equation that the the Riemann Zeta Function satisfies.
Torus Embedding And Its Applications, Rick Hung Nguyenhuu
Torus Embedding And Its Applications, Rick Hung Nguyenhuu
Theses Digitization Project
No abstract provided.
Differential Geometry Of Surfaces And Minimal Surfaces, James Joseph Duran
Differential Geometry Of Surfaces And Minimal Surfaces, James Joseph Duran
Theses Digitization Project
No abstract provided.