docs: update education/mathematics/mathematical-induction

education/mathematics.html

@@ -2,10 +2,21 @@
 title: 數學 (Mathematics)
 description: 
 published: true
-date: 2026-02-11T17:11:19.248Z
+date: 2026-02-11T17:15:39.517Z
 tags: 
 editor: ckeditor
 dateCreated: 2026-02-11T17:11:19.248Z
 -->
 
-<p><span style="font-family:Arial, Helvetica, sans-serif;">1</span></p>
+<figure class="table">
+  <table>
+    <tbody>
+      <tr>
+        <td style="text-align:center;width:300px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>名稱</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Name</strong></span></td>
+      </tr>
+      <tr>
+        <td style="text-align:center;"><a href="/education/mathematics/mathematical-induction"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>數學歸納法</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Mathematical Induction</strong></span></td>
+      </tr>
+    </tbody>
+  </table>
+</figure>

education/mathematics/mathematical-induction.html

@@ -0,0 +1,18 @@
+<!--
+title: 數學歸納法 (Mathematical Induction)
+description: 
+published: true
+date: 2026-02-11T17:16:01.234Z
+tags: 
+editor: ckeditor
+dateCreated: 2026-02-11T17:14:35.544Z
+-->
+
+<h3>Fundamental Principle</h3>
+<p>Mathematical induction is a method used to prove that a statement holds true for all natural numbers k.</p>
+<p>Let P(n) be a statement defined for each positive integer n.</p>
+<p>Then P(n) will be true for all positive integers n if the following two conditions are satisfied:</p>
+<p>(1) P(1) is true.</p>
+<p>(2) P(k) is true for some integer k + 1 implies that P(k + 1) is true.</p>
+<p>Because all the other values can use the result from the (1) and (2),</p>
+<p>Therefore, you can conclude that all the conditions with integers n are true.</p>