University of Canberra
Dr. Sergey Sergeev
- Projects in Calculus
1.1 Complex calculus and foundations of the modern theoretical Statistics [TAKEN]
1.2 Complex calculus and and its application to multidimensional Euclidean Geometry and to the theory of special functions
- Projects in Analysis
2.1 Notion of Analysis, its difference from the Calculus. Example: derivation of
and many other equations
- Projects in Discrete Mathematics
3.1 Modern analytical cryptography
3.2 Exotic mathematical induction
- Projects in History of Mathematics/History of Mathematical Education
4.1 Napoleon theorem (how the Napoleon Theorem can be/can not be proven by the methods of Euclidean Geometry)
4.2 History of Tsiolkovsky equation (Moore 1813, Taight and Stils 1856, Leitch 1861, Tsiolkovsky 1903), modern situation.
- Projects in Modern Geometry
5.1 De Rham complex and the coordinate free formulation of Maxwell theory.
5.2 Foundations of Riemann Geometry. Example: the Poincare space, 3-wave equations, volumes of ideal polyhedra.
5.3 Foundations of Riemann Geometry. Example: the general and special relativity. Applications to GPS.