思想/古今数学思想/古今数学思想.html

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<h1 class="title">古今数学思想</h1>
</header><nav id="table-of-contents">
<h2>Table of Contents</h2>
<div id="text-table-of-contents">
<ul>
<li><a href="#orgheadline5">1. 简介</a>
<ul>
<li><a href="#orgheadline1">1.1. 第一册</a></li>
<li><a href="#orgheadline2">1.2. 第二册</a></li>
<li><a href="#orgheadline3">1.3. 第三册</a></li>
<li><a href="#orgheadline4">1.4. 第四册</a></li>
</ul>
</li>
<li><a href="#orgheadline6">2. 资源</a></li>
</ul>
</div>
</nav>


<div class="outline-2">
<h2 id="orgheadline5">简介</h2>
<div class="outline-text-2" id="text-1">
<p>
作者：莫里斯·克莱因（Morris Kline,1908-1992），克莱因的著作很多，包括《数学：确定性的丧失》和《数学与知识的探求》等。
</p>

<p>
警告：非文字版，主要用于学习研究目的。
</p>
</div>

<div class="outline-3">
<h3 id="orgheadline1">第一册</h3>
<div class="outline-text-3" id="text-1-1">
<p>
主要内容：
</p>
<ol class="org-ol">
<li>美索不达米亚的数学</li>
<li>埃及的数学</li>
<li>古典希腊数学的产生</li>
<li>Euclid和Apollonius</li>
<li>希腊亚历山大时期:几何与三角</li>
<li>亚历山大时期:算术和代数复兴</li>
<li>希腊人对自然形成理性观点的过程</li>
<li>希腊世界的衰替</li>
<li>印度和阿拉伯的数学</li>
<li>欧洲中世纪时期</li>
<li>文艺复兴</li>
<li>文艺复兴时期数学的贡献</li>
<li>16、17世纪的算术和代数</li>
<li>射影几何的肇始</li>
</ol>
</div>
</div>


<div class="outline-3">
<h3 id="orgheadline2">第二册</h3>
<div class="outline-text-3" id="text-1-2">
<p>
主要内容：
</p>
<ol>
<li>坐标几何</li>
<li>科学的数学化</li>
<li>微积分的创立</li>
<li>17世纪的数学</li>
<li>18世纪的微积分</li>
<li>无穷级数</li>
<li>18世纪的常微分方程</li>
<li>18世纪的偏微分方程</li>
<li>18世纪的解析几何和微分几何</li>
<li>18世纪的变分法</li>
<li>18世纪的代数</li>
<li>18世纪的数学</li>
</ol>
</div>
</div>


<div class="outline-3">
<h3 id="orgheadline3">第三册</h3>
<div class="outline-text-3" id="text-1-3">
<ol>
<li>单复变函数</li>
<li>19世纪的偏微分方程</li>
<li>19世纪的常微分方程</li>
<li>19世纪的变分法</li>
<li>Galois理论</li>
<li>四元数，向量和线性结合代数</li>
<li>行列式和矩阵</li>
<li>19世纪的数论</li>
<li>射影几何学的复兴</li>
<li>非Euclid几何</li>
<li>Gauss和Riemann的微分几何</li>
<li>射影几何与度量几何</li>
<li>代数几何</li>
</ol>
</div>
</div>


<div class="outline-3">
<h3 id="orgheadline4">第四册</h3>
<div class="outline-text-3" id="text-1-4">
<ol>
<li>分析中注入严密性</li>
<li>实数和超限数的基础</li>
<li>几何基础</li>
<li>19世纪的数学</li>
<li>实变函数论</li>
<li>积分方程</li>
<li>泛函分析</li>
<li>发散级数</li>
<li>张量分析和微分几何</li>
<li>抽象代数的出现</li>
<li>拓扑的开始</li>
<li>数学基础</li>
<li>杂志名称缩写一览表</li>
<li>人名索引</li>
<li>名词索引</li>
</ol>
</div>
</div>
</div>


<div class="outline-2">
<h2 id="orgheadline6">资源</h2>
<div class="outline-text-2" id="text-2">
<ol class="org-ol">
<li><a href="https://drive.google.com/open?id=0ByWxOeitx54PbVNZZjZkaXVyV28&amp;authuser=0">古今数学思想第一册</a></li>
<li><a href="https://drive.google.com/open?id=0ByWxOeitx54PR1BiNzV3OHhCeW8&amp;authuser=0">古今数学思想第二册</a></li>
<li><a href="https://drive.google.com/open?id=0ByWxOeitx54PZjE4WHlMUVlaMG8&amp;authuser=0">古今数学思想第三册</a></li>
<li><a href="https://drive.google.com/open?id=0ByWxOeitx54PSWtPTHlWRXBNVjA&amp;authuser=0">古今数学思想第四册</a></li>
</ol>
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