《分析入门》是一部介绍分析的低年级入门教程,给出了一个基本的用半学期学习单实变量函数的方法。这《分析入门》在很大程度上更好的挑战和提高数学直觉而非改变它,其本质是揭示分析的内在魅力所在。全书将Cantor集是否包括所有的无理数、函数不连续点的集合是否可以是任意集合、导数是否连续、导函数是否可积以及一个无穷次可微函数是否一定是一个泰勒级数的极限这些问题作为《分析入门》的一条主线,使得《分析入门》脉络清晰、易懂。
My primary goal in writing Understanding Analysis was to create an elementary one-semester book that exposes students to the rich rewards inherent in taking a mathematically rigorous approach to the study of functions of a real variable. The aim of a course...
评分My primary goal in writing Understanding Analysis was to create an elementary one-semester book that exposes students to the rich rewards inherent in taking a mathematically rigorous approach to the study of functions of a real variable. The aim of a course...
评分My primary goal in writing Understanding Analysis was to create an elementary one-semester book that exposes students to the rich rewards inherent in taking a mathematically rigorous approach to the study of functions of a real variable. The aim of a course...
评分My primary goal in writing Understanding Analysis was to create an elementary one-semester book that exposes students to the rich rewards inherent in taking a mathematically rigorous approach to the study of functions of a real variable. The aim of a course...
评分My primary goal in writing Understanding Analysis was to create an elementary one-semester book that exposes students to the rich rewards inherent in taking a mathematically rigorous approach to the study of functions of a real variable. The aim of a course...
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