| Level 等级 |
Curriculum 课程体系 |
System 学制 |
Equivalency Qualification 同等学历证书 |
|---|---|---|---|
| Early Childhood 幼教 |
Montessori Early Childhood Program 蒙特梭利幼教项目 |
Montessori 蒙特梭利 |
None 无 |
| Primary 小学 |
IB-PYP IB 小学项目 |
Universal 通用 |
Hybrid Program 混合项目 |
| Thai Primary School Program 泰国小学项目 |
Thailand 泰制 |
Registration with Thai Authority 向泰国监管当局注册 |
|
| Singapore Primary School Program 新加坡小学项目 |
Singapore 新加坡制 |
None 无 |
|
| Chinese Primary School Program 中国义务教育小学项目 |
China 中国制 |
None 无 |
|
| Junior Secondary 初中 |
Edexcel GCSEs 爱徳思 GCSE |
UK 英制 |
GCSE |
| IB-MYP IB 初中项目 |
Universal 通用 |
Hybrid Program 混合项目 |
|
| Thai Junior Secondary School Program 泰国初中项目 |
Thailand 泰制 |
Registration with Thai Authority 向泰国监管当局注册 |
|
| Singapore Junoir Secondary School Program 新加坡初中项目 |
Singapore 新加坡制 |
None 无 |
|
| Chinese Junior Secondary School Program 中国义务教育初中项目 |
China 中国制 |
None 无 |
|
| Cambridge IGCSE 剑桥国际 GCSE |
UK 英制 |
None 无 |
|
| Senior Secondary 高中 |
GED | Universal 通用 |
Standardized Test 标准化测试 |
| Edexcel A Levels 爱徳思 A 水准 |
UK 英制 |
A Levels A 水准 |
|
| IB-DP IB 文凭项目 |
Universal 通用 |
Hybrid Program 混合项目 |
|
| Thai Senior Secondary School Program 泰国高中项目 |
Thailand 泰制 |
Registration with Thai Authority 向泰国监管当局注册 |
|
| Singapore Senior Secondary School Program 新加坡高中项目 |
Singapore 新加坡制 |
None 无 |
|
| Chinese Senior Secondary School Program 中国普通高中项目 |
China 中国制 |
None 无 |
|
| Cambridge International AS & A Levels 剑桥国际 AS 和 A 水准 |
UK 英制 |
None 无 |
|
| Tertiary 大学 |
University of the People 人民大学 |
US 美制 |
Virtual 网校 |
| St John's College Great Books Curriculum 圣约翰学院好书课程体系 |
Universal 通用 |
None 无 |
|
| Open Source Society University 开源社会大学 |
Universal 通用 |
None 无 |
| Stage 阶段 |
Subject 科目 |
Author and Title 作者和标题 |
|---|---|---|
| 0 Curiosity 兴趣 |
General 通用 |
Perelman - Mathematics Can Be Fun Perelman - Fun with Maths and Physics Kordemsky - The Moscow Puzzles Gardner - The Colossal Book of Mathematics Tahan - The Man Who Counted Seife - Zero: The Biography of a Dangerous Idea |
| History 数学史 |
Boyer - A History of Mathematics Ifrah - Universal History of Numbers Cohen - Triumph of Numbers |
|
| 1 Foundations 基础 |
Arithmetic 算术 |
Kiselev - Arithmetic Vygodsky - Mathematical Handbook Lidsky et al. - Problems in Elementary Mathematics |
| Algebra 代数 |
Kiselev - Algebra Gelfand & Shen - Algebra Mordkovich - Solving Problems in Algebra and Trigonometry Kostrikin - Introduction to Algebra |
|
| Geometry 几何 |
Shuvalova - Geometry Sharygin - Problems in Plane Geometry Modenov - Problems in Geometry Gusev - Solving Problems in Geometry |
|
| Trigonometry 三角函数 |
Panchishkin - Trigonometric Functions | |
| Mathematical Thinking 数学思维 |
Hammack - Book of Proof | |
| Problems 习题 |
Lidsky - Problems in Elementary Mathematics Steinhaus - One Hundred Problems in Elementary Mathematics Tsypkin - Methods of Solving Problems in High School Mathematics |
|
| 2 Olympiad 奥数 |
Core 核心 |
Shklarsky - The USSR Olympiad Problem Book Yaglom - Challenging Mathematical Problems Straszewicz - Mathematical Problems from Polish Olympiads |
| Combinatorics 组合 |
Vilenkin - Combinatorial Mathematics for Recreation Gelfand - Sequences, Combinations, Limits |
|
| Number Theory 数论 |
Sierpinski - 250 Problems in Elementary Number Theory | |
| Inequalities 不等式 |
Korovkin - Inequalities | |
| 3 Advanced 1 高等数学 1 |
Calculus 微积分 |
Thompson - Calculus Made Easy Spivak - Calculus Apostol - Calculus Leib - Problems in the Calculus Gelfand - Learn Limits Through Problems |
| Linear Algebra 线性代数 |
Nicholson - Linear Algebra with Applications Shilov - Linear Algebra Voyevodin - Linear Algebra Halmos - Linear Algebra Problem Book Proskuryakov - Problems in Linear Algebra Ikramov - Linear Algebra Problems |
|
| Analytic Geometry 解析几何 |
Pogorelov - Analytic Geometry Kletenik - Problems in Analytic Geometry |
|
| 4 Analysis 数学分析 |
Bridge 衔接 |
Kolmogorov & Fomin - Introductory Real Analysis Bermant - Mathematical Analysis |
| Core 核心 |
Rudin - Principles of Mathematical Analysis Hardy - Course of Pure Mathematics Nikolsky - A Course of Mathematical Analysis Ilyin & Poznyak - Mathematical Analysis |
|
| Problems 习题 |
Butuzov - Mathematical Analysis in Quesitons and Problems Berman - Problems in Mathematical Analysis |
|
| 5 Advanced 2 高等数学 2 |
Abstract Algebra 抽象代数 |
Kurosh - Higher Algebra Lang - Algebra |
| Matrix 矩阵 |
Gantmacher - Theory of Matrices | |
| Number Theory 数论 |
Hardy & Wright - Introduction to Number Theory Vinogradov - Elements of Number Theory |
|
| Discrete Mathematics 离散数学 |
MIT - Mathematics for Computer Science Knuth - Concrete Mathematics |
|
| Logic 逻辑学 |
Ershov - Mathematical Logic | |
| 6 Probability & Statistics 概率和统计 |
Intro 入门 |
Tarasov - The World is Built on Probability Freund - Introduction to Probability Uspensky - Introduction to Mathematical Probability |
| Rigorous Probability 严格概率 |
Kolmogorov - Foundations of Probability Gnedenko - Theory of Probability Feller - Introduction to Probability |
|
| Advanced Probability 高等概率 |
Lamperti - Probability Theory Survey Breiman - Probability |
|
| Specialized 专题 |
Markov - Calculus of Probabilities Dynkin - Markov Processes |
|
| 7 Advanced Analysis 高等分析 |
Measure Theory 测度论 |
Kolmogorov & Fomin - Measure and Hilbert Space |
| Fourier Analysis 傅立叶分析 |
Tolstov - Fourier Series | |
| Differential Equations 微分方程 |
Pontryagin - Ordinary Differential Equations Elsgolts - Differential Equations |
|
| Calculus of Variations 变分法 |
Gelfand & Fomin - Calculus of Variations | |
| Functional Analysis 泛函分析 |
Shilov - Measure and Derivative | |
| 8 Topology 拓扑 |
Differential Geometry 微分几何 |
Mishchenko & Fomenko - Differential Geometry |
| Topology 拓扑 |
Borisovich - Introduction to Topology Kelley - General Topology |
|
| Geometric Transformations 几何变换 |
Yaglom - Geometric Transformations | |
| 9 Mathematical Physics 数学物理学 |
Mathematical Physics 数学物理学 |
Vladimirov - Equations of Mathematical Physics |
| Analytical Mechanics 分析力学 |
Gantmacher - Analytical Mechanics | |
| Physics Core 物理核心 |
Irodov - Problems in General Physics Feynman - The Feynman Lectures on Physics |
|
| 10 Machine Learning 机器学习 |
Machine Learning 机器学习 |
Deisenroth - Mathematics for Machine Learning Bishop - Pattern Recognition and Machine Learning Murphy - Probabilistic Machine Learning |
| Optimization 优化 |
MIT - Algorithms for Optimization Nemirovski - Convex Optimization |
|
| Information Theory 信息理论 |
MacKay - Information Theory, Inference and Learning Algorithms | |
| 11 Metamathematics 元数学 |
Metamathematics 元数学 |
Aleksandrov - Mathematics: Its Contents, Methods and Meaning Khrennikov - Interpretations of Probabililty Keynes - Treatise on Probability |
| Category 类别 |
Resource 资源 |
Misc. 备注 |
|---|---|---|
| Books 书 |
Anna's Archive | |
| Library Genesis | ||
| Papers 论文 |
Anna's Archive | |
| Sci-Hub | ||
| Past Papers 历年真题 |
Singapore School Past Papers 新加坡学校历年真题 |
|
| Virtual Asynchronous 异步网校 |
Khan Academy 可汗学院 |
K-12 tutoring 幼小初高教辅 |
| Virtual Synchronous 同步网校 |
Astra Nova School | Founded by Elon Musk 埃隆·马斯克创建 |
- Chiang Mai International and Bilingual Schools
清迈国际学校和泰制双语项目学校 - Chiang Mai School Calendar
清迈幼小初高学校日历 - Chiang Mai Life
清迈生活地图
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