# コースライブラリ未来の教科書を探る

## 中学校

### Euclidean Geometry

IntroductionEuclid’s AxiomsRuler and Compass Construction
Even More Constructions
Angles and Proofs
Origami and Paper Folding

### Triangles and Trigonometry

IntroductionProperties of Triangles
Midsegments and Similarity
Triangle CongruencePythagoras’ Theorem
Isosceles and Equilateral Triangles
TrigonometrySine and Cosine Rules

### Untitled Course

ポリゴン四辺形テッセレーション多面体
ネットと断面
プリズムとピラミッド
シェイプとソリッドのスケーリング
プラトンの固体

## 高校

サークル定理

### Non-Euclidean Geometry

Spherical GeometryMap ProjectionsHyperbolic GeometryMetric SpacesTopology
Higher Dimensions

### フラクタル

はじめにシェルピンスキートライアングルマンデルブロセット

## 中学校

### Sequences and Patterns

IntroductionArithmetic and Geometric SequencesFigurate Numbers
Sequences as Functions
Limits and Convergence

Introduction
Binomial Expressions
Projectile Motion
More Applications

## 高校

### Exponential Functions

Carbon Dating
Exponential Growth and Decay
Comparing Models
Compound Interest
Population Dynamics

## 中学校

### Probability

Introduction
Probability Trees and Venn Diagrams
Conditional Probability
The Monty Hall Problem
The Birthday Problem
True Randomness

### Statistics and Data

Casino Mathematics
Data Visualisation
Sampling and Estimation
The Wisdom of Crowds
Linear Models

### Combinatorics

FactorialsPermutationsCombinations

## 高校

### Codes and Ciphers

Introduction
Binary Numbers
Error Detection
Secret Codes
The Enigma
Public Key Cryptography

### Game Theory

The Prisoners’ Dilemma
Cards, Coins and Dice
The Winning Move
Random Walks

### Chaos Theory

Introduction
Mathematical Billiard
The Three Body Problem
Phase Space and Strange Attractors
The Logistic Map