Topics 22
Data Science
Research on Data Science & its related areas
Graph Analytics
Research on Applied Graph Algorithms & its related applicaions (e.g., Knowledge Graphs).
Reinforcement Learning
Research on Reinforcement Learning.
Singular Learning Theory
Research on Singular Learning Theory & its applications.
Mathematics - Algebra
Algebraic expression notation: 1 – power (exponent) 2 – coefficient 3 – term 4 – operator 5 – constant term – constant – variables Major branches: Elementary algebra Linear algebra Abstract algebra Group theory Ring theory Field theory Diagram of relations between some algebraic structures. For instance, its top right section shows that a magma becomes a semigroup if its operation is associative.
Mathematics - Combinatorics
Related fields: Combinatorial optimization Coding theory Discrete and computational geometry Combinatorics and dynamical systems Combinatorics and physics
Mathematics - Geometric Topology
Related fields: Low-dimensional topology Knot theory High-dimensional geometric topology
Mathematics - Mathematical analysis
Main branches: Calculus Real analysis Complex analysis Functional analysis Harmonic analysis Differential equations Measure theory Numerical analysis Vector analysis Scalar analysis Tensor analysis Other branches (small or related): Calculus of variations Geometric analysis Clifford analysis p-adic analysis Non-standard analysis Computable analysis Stochastic calculus Set-valued analysis Convex analysis Idempotent analysis Tropical analysis Constructive analysis Intuitionistic analysis Paraconsistent analysis
Mathematics - Number Theory
Riemann zeta function $\zeta(s)$ in the complex plane. The color of a point s gives the value of $\zeta(s)$: dark colors denote values close to zero and hue gives the value's argument.
Mathematics - Numerical Analysis
Related fields: Computing values of functions Interpolation, extrapolation, and regression Solving equations and systems of equations Solving eigenvalue or singular value problems Optimization Evaluating integrals Differential equations (ordinary differential equations and partial differential equations)
Mathematics - Probability and statistics
Mathematics - Signal Processing
Mathematics Books
Mathematics for Computer Science
Mathematics Lecture Notes
Mathematics MOOCS
Study Mathematics at HCMUS
1. Applied Mathematics # MNC - Research Methodologies MTT001 - Advanced Functional Analysis MTT006 - Advanced Linear Algebra MTT011 - Numerical Analysis MTT012 - Stochastic Process MTT081 - Optimization Algorithms MTT106 - Non-linear Programming MTT107 - Set-valued Analysis MTT083 - Convex Analysis MTT130 - Numerical Programming for Applied Problems MTT131 - Seminar in Applied Mathematics MTT139 - Mathematical Models in Economics MTT147 - Statistical Modelling MTT099 - Differential Equations MTT097 - Partial Differential Equations MTH10403 - Functional Analysis MTT090 - Complex Analysis MTT149 - Convex Analysis and Optimization 2. Mathematical Analysis # MTT001 - Advanced Functional Analysis MTT006 - Advanced Linear Algebra MTT099 - Differential Equations MTT097 - Partial Differential Equations MTT090 - Complex Analysis MTT149 - Convex Analysis and Optimization
Reading list & mathematics resources.
Math Reading List
Machine Learning & Combinatorial Optimization
A comprehensive overview of machine learning approaches and techniques applied to combinatorial optimization problems, covering foundational concepts, methodologies, and state-of-the-art advances. Scope: Systematic review of learning-based CO solving methods including supervised learning for heuristics, reinforcement learning for search policies, and hybrid approaches combining classical and neural methods. Graph Matching # The problem of finding correspondences between vertices in two graphs, with applications in pattern recognition, shape analysis, and image matching. Deep learning methods have enabled scalable solutions for large graphs.
Mathematics
Study Mathematics # Master of Science in Mathematics @ HCMUS Branches of Mathematics # 1. Foundation of Mathematics # Transition To Pure Rigour Math Set Theory Logic Category Theory Type Theory Homotopy Type Theory Surreal Numbers 2. Number Theory # Algebraic Number Theory Analytic Number Theory 3. Algebra # Abstract Algebra Group Theory Linear Algebra Ring Theory Galois Theory Lie Algebras 4. Combinatorics # Probabilistic methods in Combinatorics Algebraic Combinatorics Graph Theory 5. Geometry Topology # Differential Geometry Algebraic Geometry Algebraic Statistics Topology Algebraic Topology 6. Mathematical analysis # Real Analysis Harmonic Analysis Complex Analysis Functional Analysis Measure Theory ODE PDE Variational Analysis Calculus of Variations Calculus (Single/ Multi-variables) Optimization & Operation Research Dynamical Systems Set-valued Analysis 7. Probability and Statistics # Probability Theory Statistics Statistical Learning Stochastic processes 8. Numerical Analysis # Numerical methods for PDEs Numerical methods for ODEs Computational Linear Algebra 9. Signal Processing # 10. Mathematics for Computer Science # 11. Mathematical Physics #
Cambridge Notes (Vietnamese)
Ghi chú bài giảng Cambridge # Tất cả các ghi chú đều được dịch từ Cambridge Notes do Dexter Chua biên tập. Các bản dịch sang tiếng Việt được sử dụng cho mục đích học tập. Vui lòng không sử dụng cho mục đích thương mại. Part IA # Michaelmas Term Phương trình vi phân - Differential Equations: HTML, PDF, PDF (Trim), PDF (defs), PDF (thm), PDF (thm+proof), Official Notes, PDF (Vi) Lý thuyết nhóm - Groups Số học và Tập hợp - Numbers and Sets Vector và Ma trận - Vectors and Matrices Lent Term
Daniel Raban's Note Repository Notes (Vietnamese)
Daniel Raban’s Note Repository # [UCLA] Math 206A: Combinatorial Discrete Geometry (Igor Pak, F18): PDF, PDF (Vi) [UCLA] Math 206B: Algebraic Combinatorics (Igor Pak, W19): [PDF], PDF (Vi) [UCLA] Math 210A: Algebra (Romyar Sharifi, F18): PDF, PDF (Vi) [UCLA] Math 210B: Algebra (Romyar Sharifi, W19): PDF, PDF (Vi) [UCLA] Math 210C: Algebra (Romyar Sharifi, Sp19): [PDF], PDF (Vi) [UCLA] Math 245B: Real Analysis (Tim Austin, W19): PDF, PDF (Vi) [UCLA] Math 245C: Real Analysis (Wilfrid Gangbo, Sp19): PDF, PDF (Vi) [UCLA] Math 246A: Complex Analysis (John Garnett, F18): [PDF], PDF (Vi)