課程說明(Course Description)：
帶領學生研讀幾何分析的重要問題、理論與其應用。
研讀相關論文,訓練學生思維能力。
We study Heat Kernel,Harmonic Functions and Spectrum theorems on Riemannian
Manifolds and smooth metric measure spaces.
References:
F. John: Partial Differential Equations. 4th Edition.
L. Evans: Partial Differential Equaitons
Jost: Riemannian Geometry and Geometric Analysis.
Davies and Safrov:Spectral Theory and Geometry.
Warner: Foundations of Differential Manifolds and Lie Groups.
Do Carmo: Riemannian Geometry.
R. Courant and D. Hilbert: Methods of Mathematical Physics. Vol. I and II.
Exam 50%(to be scheduled)+ Homework 50%