OCME · FREE MATHEMATICS BOOKS
Explore numbers, algebra and geometry, then sets, logic and proof. Read complete chapters, worked examples, exercises and solutions online, or download the PDFs.
4complete volumes
40 chapters to read and download
The current volumes are written in Traditional Chinese. This catalogue is available in Chinese and English. Read in order or choose a chapter from each contents list.
VOLUME 1 v0.2
數與運算
Use number lines, diagrams and step-by-step calculations to understand integers, fractions, decimals, ratios, powers and square roots.
10 chapters · 30 worked examples · 80 exercises with solutions
83 PDF pages · Traditional Chinese text
VOLUME 2 v0.2
代數與方程
Move from variables and equations to inequalities, simultaneous equations, polynomials, quadratics and the conditions for rational and radical expressions.
10 chapters · 30 worked examples · 80 exercises with solutions
78 PDF pages · Traditional Chinese text
VOLUME 3 v0.2
幾何、測量與空間
Explore congruence, similarity, area, the Pythagorean theorem, circles, transformations and solid measurement, with attention to conditions and reasoning.
10 chapters · 40 worked examples · 100 exercises with solutions
82 PDF pages · Traditional Chinese text
VOLUME 5 v0.2
集合、邏輯與證明
Work from definitions, sets and mappings through quantifiers, direct proof, contraposition, contradiction and induction, then explore equivalence classes, quotient sets and countability.
10 chapters · 40 worked examples · 100 exercises with solutions
79 PDF pages · Traditional Chinese text
Basic review is not a formal proof. Reports of errors or unclear explanations are welcome.
