Prof. Masanori ISHIDA, Prof. Motoko KOTANI
Assoc. Prof. Junichi SEGATA
1. Theory of convex sets
*Convex sets in a plane
*Convex sets in a real space
*Caratheodory's theorem on convex sets
*Convex polytopes
2. Introduction to Fourier series
*Fourier coefficients and series
*Criteria for pointwise convergence
*Fourier series of continuous functions
*Convergence in norm
3. Curves and surfaces
*Curves
*Curvature of curves
*Surfaces
*Curvature of surfaces
1. Lattice points and convex cones
*Convex cones
*Dual cones
*Gordan's theorem
*Semigroup rings
2. Introduction to Fourier transform
*Fourier transform of moderate decreasing function
*Fourier transform of rapidly decreasing function
*Plancherel's formula
*Applications
3. Introduction to Graph Theory
*Definition of graphs
*Path, Cycles and Trees
*Graphs and Electrical Networks Ⅰ
*Graphs and Electrical Networks Ⅱ
Scene of a Class
