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Sets and logic, algebra, calculus and analysis, geometry, discrete and applied mathematics.
From secondary-school mathematics through to university foundations, each article indicates its level and includes concept diagrams.
Unit circle demo · sin 60° = √3/2 ≈ 0.866
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以集合與命題邏輯，搭起數學推理的地基。
Browse →自然數到複數、整除與質數的世界。
Browse →把輸入對應到輸出——數學最核心的物件。
Browse →歸納、反證、構造——如何嚴謹地證明一件事。
Browse →排列、組合與計數原理。
Browse →因式分解、根與方程求解。
Browse →大小關係的代數與幾何。
Browse →虛數單位 i 與複平面。
Browse →矩陣運算與線性方程組。
Browse →向量空間、特徵值與線性變換。
Browse →從對稱性看群、環、體的結構。
Browse →逼近的藝術——微積分的起點。
Browse →瞬間變化率與切線。
Browse →面積、累積與微積分基本定理。
Browse →偏導數、梯度與重積分。
Browse →收斂、發散與泰勒展開。
Browse →用方程描述變化的世界。
Browse →Set, function, limit, derivative, matrix, eigenvalue, probability... bilingual terms and plain-language definitions.
Search terms →The positioning and scope of this reader, and how to learn with Uedu AI TA and other readers.
Find out more →This section contains original educational material intended to build conceptual frameworks; the illustrations are conceptual diagrams generated by AI (not precise schematic diagrams). For deeper study, please still refer to textbooks and authoritative teaching materials.