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| 序号 |
课程中文名称 |
课程英文名称 |
| 1 |
模型论 |
Model Theory |
| 2 |
戈德尔不完整定理 |
Godel's Incompleteness Theorem |
| 3 |
解析拓扑 |
Analytic Topology |
| 4 |
公理集理论 |
Axiomatic Set Theory |
| 5 |
李代数 |
Lie Algebras |
| 6 |
同源代数 |
Homological Algebra |
| 7 |
半简单李代数的表示理论 |
Representation Theory of Semisimple Lie Algebras |
| 8 |
无限组 |
Infinite Groups |
| 9 |
非交换环 |
Non-Commutative Rings |
| 10 |
计划简介 |
Introduction to Schemes |
| 11 |
范畴论 |
Category Theory |
| 12 |
代数拓扑 |
Algebraic Topology |
| 13 |
几何群论 |
Geometric Group Theory |
| 14 |
可微歧管 |
Differentiable Manifolds |
| 15 |
代数几何 |
Algebraic Geometry |
| 16 |
谎言团体 |
Lie Groups |
| 17 |
椭圆曲线 |
Elliptic Curves |
| 18 |
加法和组合数论 |
Additive and Combinatorial Number Theory |
| 19 |
进一步的功能分析 |
Further Functional Analysis |
| 20 |
PDE的功能分析方法 |
Functional Analytic Methods for PDEs |
| 21 |
非线性PDE的不动点方法 |
Fixed Point Methods for Nonlinear PDEs |
| 22 |
复杂分析:共形图和几何 |
Complex Analysis: Conformal Maps and Geometry |
| 23 |
固体力学 |
Solid Mechanics |
| 24 |
弹性和可塑性 |
Elasticity and Plasticity |
| 25 |
网路 |
Networks |
| 26 |
摄动方法 |
Perturbation Methods |
| 27 |
应用复杂变量 |
Applied Complex Variables |
| 28 |
流体力学专题 |
Topics in Fluid Mechanics |
| 29 |
数学力学生物学 |
Mathematical Mechanical Biology |
| 30 |
数学地球科学 |
Mathematical Geoscience |
| 31 |
数学生理学 |
Mathematical Physiology |
| 32 |
数值线性代数 |
Numerical Linear Algebra |
| 33 |
持续优化 |
Continuous Optimisation |
| 34 |
功能近似 |
Approximation of Functions |
| 35 |
PDE的有限元方法 |
Finite Element Method for PDEs |
| 36 |
深度学习理论 |
Theories of Deep Learning |
| 37 |
理论物理 |
Theoretical Physics |
| 38 |
量子信息导论 |
Introduction to Quantum Information |
| 39 |
广义相对论I |
General Relativity I |
| 40 |
随机分析和偏微分方程 |
Stochastic Analysis and PDEs |
| 41 |
组合学 |
Combinatorics |
| 42 |
概率组合 |
Probabilistic Combinatorics |
| 43 |
Schramm-Loewner进化概论 |
Introduction to Schramm-Loewner Evolution |
| 44 |
极限定理和概率的大偏差 |
Limit Theorems and Large Deviations in Probability |
| 45 |
数学专题论文 |
Dissertations on a Mathematical Topic |
| 46 |
类别,证明和过程 |
Categories, Proofs and Processes |
| 47 |
量子计算机科学 |
Quantum Computer Science |
| 48 |
自动机,逻辑和游戏 |
Automata, Logic and Games |
| 49 |
数学史论文 |
Dissertations on the History of Mathematics |
| 50 |
哲学选项-详情请见下文 |
Philosophy options - see below for details |