# OCME book library

The current volumes are written in Traditional Chinese.

## Numbers and Operations · v0.2

Use number lines, diagrams and step-by-step calculations to understand integers, fractions, decimals, ratios, powers and square roots.

[Read online](/books/01/v0.2/) · [PDF](/books/01/v0.2/book.pdf) · [Markdown](/books/01/v0.2/book.md)

- [第1章 數量、位值與數學表徵](/books/01/v0.2/chapter-01.html)
- [第2章 加減與數線](/books/01/v0.2/chapter-02.html)
- [第3章 乘除與四則次序](/books/01/v0.2/chapter-03.html)
- [第4章 整數、零與大小](/books/01/v0.2/chapter-04.html)
- [第5章 分數與等值](/books/01/v0.2/chapter-05.html)
- [第6章 分數運算](/books/01/v0.2/chapter-06.html)
- [第7章 小數、百分率與近似](/books/01/v0.2/chapter-07.html)
- [第8章 比、比例與單位](/books/01/v0.2/chapter-08.html)
- [第9章 冪、平方根與實數初識](/books/01/v0.2/chapter-09.html)
- [第10章 綜合應用與自我診斷](/books/01/v0.2/chapter-10.html)

## Algebra and Equations · v0.2

Move from variables and equations to inequalities, simultaneous equations, polynomials, quadratics and the conditions for rational and radical expressions.

[Read online](/books/02/v0.2/) · [PDF](/books/02/v0.2/book.pdf) · [Markdown](/books/02/v0.2/book.md)

- [第1章 變數、常數與代數式](/books/02/v0.2/chapter-01.html)
- [第2章 分配律與式的整理](/books/02/v0.2/chapter-02.html)
- [第3章 一元一次方程](/books/02/v0.2/chapter-03.html)
- [第4章 不等式與解集](/books/02/v0.2/chapter-04.html)
- [第5章 聯立一次方程](/books/02/v0.2/chapter-05.html)
- [第6章 多項式的運算](/books/02/v0.2/chapter-06.html)
- [第7章 因式分解](/books/02/v0.2/chapter-07.html)
- [第8章 二次方程](/books/02/v0.2/chapter-08.html)
- [第9章 分式與根式的資格](/books/02/v0.2/chapter-09.html)
- [第10章 文字題與解的驗算](/books/02/v0.2/chapter-10.html)

## Geometry, Measurement and Space · v0.2

Explore congruence, similarity, area, the Pythagorean theorem, circles, transformations and solid measurement, with attention to conditions and reasoning.

[Read online](/books/03/v0.2/) · [PDF](/books/03/v0.2/book.pdf) · [Markdown](/books/03/v0.2/book.md)

- [第1章 點、線、面與角](/books/03/v0.2/chapter-01.html)
- [第2章 長度、周長與測量](/books/03/v0.2/chapter-02.html)
- [第3章 三角形與全等](/books/03/v0.2/chapter-03.html)
- [第4章 相似與比例尺](/books/03/v0.2/chapter-04.html)
- [第5章 面積的分割與拼合](/books/03/v0.2/chapter-05.html)
- [第6章 畢氏定理](/books/03/v0.2/chapter-06.html)
- [第7章 圓、弧與圓形區域](/books/03/v0.2/chapter-07.html)
- [第8章 對稱、等距與縮放](/books/03/v0.2/chapter-08.html)
- [第9章 立體與展開圖](/books/03/v0.2/chapter-09.html)
- [第10章 幾何解題與證明](/books/03/v0.2/chapter-10.html)

## Sets, Logic and Proof · v0.2

Work from definitions, sets and mappings through quantifiers, direct proof, contraposition, contradiction and induction, then explore equivalence classes, quotient sets and countability.

[Read online](/books/05/v0.2/) · [PDF](/books/05/v0.2/book.pdf) · [Markdown](/books/05/v0.2/book.md)

- [第1章 定義、假設與結論](/books/05/v0.2/chapter-01.html)
- [第2章 集合與集合運算](/books/05/v0.2/chapter-02.html)
- [第3章 關係與函數映射](/books/05/v0.2/chapter-03.html)
- [第4章 連接詞、量詞與論域](/books/05/v0.2/chapter-04.html)
- [第5章 直接證明](/books/05/v0.2/chapter-05.html)
- [第6章 逆否與反證](/books/05/v0.2/chapter-06.html)
- [第7章 反例與錯誤推理](/books/05/v0.2/chapter-07.html)
- [第8章 歸納與遞迴](/books/05/v0.2/chapter-08.html)
- [第9章 等價關係與商集](/books/05/v0.2/chapter-09.html)
- [第10章 可數性與閱讀長證明](/books/05/v0.2/chapter-10.html)

Free to read and download; rights and licensing follow each volume’s notice.