學門代碼 |
名稱(中) | (英) |
---|---|---|
M0201 | 代數 | Algebra |
M02010001 | 群論 | Group Theory |
M02010002 | 環論和非結合代數 | Ring Theory and Non-associative Algebra |
M02010003 | 李代數 | Lie Algebra |
M02010004 | 交換代數 | Commutative Algebra |
M0202 | 數論 | Number Theory |
M02020001 | 代數和解析數論 | Algebraic and Analytic Number Theory |
M02020002 | 算術幾何 | Arithmetic Geometry |
M02020003 | 群和自守表現理論 | Group and Automorphic Representation |
M0203 | 幾何與拓樸 | Geometry and Topology |
M02030001 | 拓樸學 | Topology |
M02030002 | 微分幾何 | Differential Geometry |
M02030003 | 李氏群 | Lie Groups |
M02030004 | 代數幾何 | Algebraic Geometry |
M0204 | 分析 | Analysis |
M02040001 | 泛函分析 | Functional Analysis |
M02040002 | 調和分析 | Harmonic Analysis |
M02040003 | 複變函數 | Complex Analysis |
M02040004 | 最佳化理論 | Optimization Theory |
M0205 | 微分方程與動態系統 | Differential Equation and Dynamical System |
M02050001 | 常微分方程 | Ordinary Differential Equation |
M02050002 | 偏微分方程 | Partial Differential Equation |
M02050003 | 動態系統 | Dynamical System |
M0206 | 機率理論與應用 | Probability Theory and Applications |
M02060001 | 機率論 | Fundamentals of Probability Theory |
M02060002 | 隨機分析與統計物理 | Stochastic Analysis and Mathematical Physics |
M02060003 | 財務數學 | Financial Mathematics |
M02060004 | 應用機率 | Applied Probability |
M0207 | 離散數學與組合學 | Discrete Mathematics and Combinatorics |
M02070001 | 圖論 | Graph Theory |
M02070002 | 組合 | Combinatorics |
M0208 | 數值分析與科學計算 | Numerical analysis and Scientific Computing |
M02080001 | 數值分析 | Numerical analysis |
M02080002 | 矩陣計算及應用 | Matrix Computation and Applications |
M02080003 | 偏微分方程數值計算 | Numerical Methods for Partial Differential Equations |
M02080004 | 流體力學計算 | Computational Fluid Dynamics |
M02080005 | 高效能計算 | High Performance Computing |
M0209 | 跨領域數學科學 | Interdisciplinary Mathematical Sciences |
M02090001 | 控制與最佳化方法 | Control and Optimization Methods |
M02090002 | 影像科學 | Imaging Sciences |
M02090003 | 生物系統建模與模擬 | Modeling and Simulation of Biological Systems |
M0299 | 其他數學類 |