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<div class="math-explore-head"><h2 class="math-explore-title">沿着好奇心,探索数学。</h2><div class="math-explore-link">[[Special:Categories|浏览全部分类 ↗]]</div></div>
<div class="math-explore-head"><h2 class="math-explore-title">沿着好奇心,探索数学。</h2><div class="math-explore-link">[[Special:Categories|浏览全部分类 ↗]]</div></div>
<div class="math-subject-grid">
<div class="math-subject-grid">
<div class="math-subject"><div class="math-subject-number">01</div><div class="math-subject-body"><span class="math-subject-symbol" aria-hidden="true"></span><div><h3 class="math-subject-title">[[:分类:分析|分析]]</h3><p class="math-subject-description">从极限到连续,从变化中理解世界。</p></div></div><div class="math-subject-links">[[极限]] / [[导数]] / [[积分]]</div></div>
<div class="math-subject"><div class="math-subject-number">01</div><div class="math-subject-body"><span class="math-subject-symbol" aria-hidden="true"></span><div><h3 class="math-subject-title">[[:分类:基础与逻辑|基础与逻辑]]</h3><p class="math-subject-description">从集合、映射与推理,学会准确表达数学。</p></div></div><div class="math-subject-links">[[集合]] / [[函数]] / [[逻辑]]</div></div>
<div class="math-subject"><div class="math-subject-number">02</div><div class="math-subject-body"><span class="math-subject-symbol" aria-hidden="true">A</span><div><h3 class="math-subject-title">[[:分类:代数|代数]]</h3><p class="math-subject-description">研究结构、对称与变换的语言。</p></div></div><div class="math-subject-links">[[矩阵]] / [[向量空间]] / [[群]]</div></div>
<div class="math-subject"><div class="math-subject-number">02</div><div class="math-subject-body"><span class="math-subject-symbol" aria-hidden="true">A</span><div><h3 class="math-subject-title">[[:分类:代数|代数]]</h3><p class="math-subject-description">理解线性结构、运算规律与对称。</p></div></div><div class="math-subject-links">[[矩阵]] / [[向量空间]] / [[线性代数]] / [[群]]</div></div>
<div class="math-subject"><div class="math-subject-number">03</div><div class="math-subject-body"><span class="math-subject-symbol" aria-hidden="true">△</span><div><h3 class="math-subject-title">[[:分类:几何|几何]]</h3><p class="math-subject-description">在形状与空间中发现不变的真理。</p></div></div><div class="math-subject-links">[[勾股定理]] / [[圆锥曲线]] / [[环面]]</div></div>
<div class="math-subject"><div class="math-subject-number">03</div><div class="math-subject-body"><span class="math-subject-symbol" aria-hidden="true">ℤ</span><div><h3 class="math-subject-title">[[:分类:数论|数论]]</h3><p class="math-subject-description">在整数、素数与余数中寻找规律。</p></div></div><div class="math-subject-links">[[整数整除]] / [[素数]] / [[同余]]</div></div>
<div class="math-subject"><div class="math-subject-number">04</div><div class="math-subject-body"><span class="math-subject-symbol" aria-hidden="true">P</span><div><h3 class="math-subject-title">[[:分类:概率与统计|概率与统计]]</h3><p class="math-subject-description">在不确定性中寻找规律。</p></div></div><div class="math-subject-links">[[概率]] / [[期望]] / [[贝叶斯定理]]</div></div>
<div class="math-subject"><div class="math-subject-number">04</div><div class="math-subject-body"><span class="math-subject-symbol" aria-hidden="true">△</span><div><h3 class="math-subject-title">[[:分类:几何|几何]]</h3><p class="math-subject-description">把形状的直观转化为可证明的关系。</p></div></div><div class="math-subject-links">[[欧氏几何]] / [[勾股定理]] / [[圆锥曲线]]</div></div>
<div class="math-subject"><div class="math-subject-number">05</div><div class="math-subject-body"><span class="math-subject-symbol" aria-hidden="true">G</span><div><h3 class="math-subject-title">[[:分类:离散数学|离散数学]]</h3><p class="math-subject-description">由离散的结构构建无限的可能。</p></div></div><div class="math-subject-links">[[图论]] / [[组合数学]] / [[逻辑]]</div></div>
<div class="math-subject"><div class="math-subject-number">05</div><div class="math-subject-body"><span class="math-subject-symbol" aria-hidden="true">○</span><div><h3 class="math-subject-title">[[:分类:拓扑|拓扑]]</h3><p class="math-subject-description">研究连续变化下保留的空间结构。</p></div></div><div class="math-subject-links">[[拓扑空间]] / [[连续映射]] / [[环面]]</div></div>
<div class="math-subject"><div class="math-subject-number">06</div><div class="math-subject-body"><span class="math-subject-symbol" aria-hidden="true"></span><div><h3 class="math-subject-title">[[:分类:应用与建模|应用与建模]]</h3><p class="math-subject-description">用数学连接现实与未知。</p></div></div><div class="math-subject-links">[[微分方程]] / [[优化]] / [[数学建模]]</div></div>
<div class="math-subject"><div class="math-subject-number">06</div><div class="math-subject-body"><span class="math-subject-symbol" aria-hidden="true">∫</span><div><h3 class="math-subject-title">[[:分类:分析|分析]]</h3><p class="math-subject-description">用极限理解局部变化与累积。</p></div></div><div class="math-subject-links">[[极限]] / [[导数]] / [[积分]] / [[微积分]] / [[欧拉公式]]</div></div>
<div class="math-subject"><div class="math-subject-number">07</div><div class="math-subject-body"><span class="math-subject-symbol" aria-hidden="true">∂</span><div><h3 class="math-subject-title">[[:分类:微分方程与动力系统|微分方程与动力系统]]</h3><p class="math-subject-description">从变化规律重建随时间演化的状态。</p></div></div><div class="math-subject-links">[[微分方程]] / [[一阶线性微分方程]] / [[洛吉斯蒂模型]]</div></div>
<div class="math-subject"><div class="math-subject-number">08</div><div class="math-subject-body"><span class="math-subject-symbol" aria-hidden="true">P</span><div><h3 class="math-subject-title">[[:分类:概率与统计|概率与统计]]</h3><p class="math-subject-description">描述随机现象,并解释数据支持什么结论。</p></div></div><div class="math-subject-links">[[概率]] / [[期望]] / [[贝叶斯定理]] / [[统计推断]]</div></div>
<div class="math-subject"><div class="math-subject-number">09</div><div class="math-subject-body"><span class="math-subject-symbol" aria-hidden="true">G</span><div><h3 class="math-subject-title">[[:分类:离散数学|离散数学]]</h3><p class="math-subject-description">在计数、网络和有限结构中训练证明。</p></div></div><div class="math-subject-links">[[逻辑]] / [[组合数学]] / [[图论]]</div></div>
<div class="math-subject"><div class="math-subject-number">10</div><div class="math-subject-body"><span class="math-subject-symbol" aria-hidden="true">≈</span><div><h3 class="math-subject-title">[[:分类:数值分析|数值分析]]</h3><p class="math-subject-description">控制近似计算的误差与稳定性。</p></div></div><div class="math-subject-links">[[二分法]] / [[牛顿法]] / [[数值积分]]</div></div>
<div class="math-subject"><div class="math-subject-number">11</div><div class="math-subject-body"><span class="math-subject-symbol" aria-hidden="true">min</span><div><h3 class="math-subject-title">[[:分类:优化与运筹|优化与运筹]]</h3><p class="math-subject-description">在约束下选择方案,并给出最优性证据。</p></div></div><div class="math-subject-links">[[优化]] / [[线性规划]] / [[最短路径]]</div></div>
<div class="math-subject"><div class="math-subject-number">12</div><div class="math-subject-body"><span class="math-subject-symbol" aria-hidden="true"></span><div><h3 class="math-subject-title">[[:分类:应用与建模|应用与建模]]</h3><p class="math-subject-description">让假设、数据、方程与验证形成闭环。</p></div></div><div class="math-subject-links">[[数学建模]] / [[最小二乘法]] / [[量纲分析]]</div></div>
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<div class="math-daily"><div><div class="math-daily-label">— 今日一式</div><div class="math-daily-equation"><math>e^{i\pi}+1=0</math></div></div><div class="math-daily-copy"><h3>五个常数,一个恒等式。</h3><p>自然对数的底、虚数单位、圆周率,以及 1 与 0,在一个简洁的等式中相遇。</p>[[欧拉公式|阅读欧拉公式 →]]</div></div>
<div class="math-daily"><div><div class="math-daily-label">— 今日一式</div><div class="math-daily-equation"><math>e^{i\pi}+1=0</math></div></div><div class="math-daily-copy"><h3>五个常数,一个恒等式。</h3><p>自然对数的底、虚数单位、圆周率,以及 1 与 0,在一个简洁的等式中相遇。</p>[[欧拉公式|阅读欧拉公式 →]]</div></div>
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</div>

2026年9月20日 (日) 02:22的最新版本

EXPLORE MATHEMATICS

沿着好奇心,探索数学。

01

基础与逻辑

从集合、映射与推理,学会准确表达数学。

02

代数

理解线性结构、运算规律与对称。

03

数论

在整数、素数与余数中寻找规律。

04

几何

把形状的直观转化为可证明的关系。

05

拓扑

研究连续变化下保留的空间结构。

06

分析

用极限理解局部变化与累积。

07

微分方程与动力系统

从变化规律重建随时间演化的状态。

08

概率与统计

描述随机现象,并解释数据支持什么结论。

09

离散数学

在计数、网络和有限结构中训练证明。

10

数值分析

控制近似计算的误差与稳定性。

11

优化与运筹

在约束下选择方案,并给出最优性证据。

12

应用与建模

让假设、数据、方程与验证形成闭环。

— 今日一式
eiπ+1=0

五个常数,一个恒等式。

自然对数的底、虚数单位、圆周率,以及 1 与 0,在一个简洁的等式中相遇。

阅读欧拉公式 →