<p>许多数学都依赖于我们能够求解方程的能力，即使不是以明确的精确形式，也至少是能够建立解的存在。为此，需要了解所谓的“分析”知识，在许多方面，它仅是非常普通设置中的微积分。这项工作的基础始于Real Analysis，这是一门根据实际变量的实值函数以系统且严格的方式开发此基础材料的课程。涵盖的主题有：基本集合论。实数及其基本属性。序列：收敛，子序列，柯西序列。打开，关闭和压缩实数集。连续的功能和统一的连续性。黎曼积分。微分和均值定理。微积分的基本定理。系列。幂级数和泰勒级数。序列和功能序列的收敛。</p>
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