本想对整个数学领域有一个宏观的概念,奈何分支众多,只好暂时按照美国数学会的详细分类进行学习,有朝一日再做整理。
I originally wanted to have a macroscopic concept of the entire field of mathematics, but there are too many branches, so I have to study according to the detailed classification of the American Mathematical Society for the time being. Maybe one day I will organize it again.
This is current arrangement of this note.
- Foundations of mathematics
- Pure mathematics
- Algebra
- Mathematical analysis
- Geometry
- Topology
- Mathematical logic
- Number Theory
- Combinatorics
- Applied mathematics
- Mathematical modeling
- Differential Equations
- Optimization
- Probability theory
- Statistics
- Mathematical Physics
- Biomathematics
- Financial Mathematics
- Computational mathematics
- Numerical analysis
- Computational Geometry
- Mathematical optimization
- Scientific Computing
- Cryptography
- Computational Algebra
- Computer Algebra Systems
- Discrete Mathematics
- Combinatorics (including Graph Theory and Order theory)
- Number Theory
- Mathematical logic
- Algorithms and Complexity Theory