Notes on Mathematics

• Fourier Analysis
• Real Analysis and Functional Analysis
• Complex Analysis
• Probability Theory and Mathematical Statistics
• Integrals with Parameters
• Series of Numbers and Series of Functions
• Integration on Manifolds
• Numerical Linear Algebra
• Stability Theory
• Galois Theory
• Abstract Algebra
• Topics in Algebraic Geometry (By Prof. Qingyuan Jiang)
• Topics in Advanced Algebra (By Prof. Yongchang Zhu)
• Applied Discrete Mathematics (By Prof. Wenan Zang)
• Advanced Probability (By Prof. Marius Hofert)