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| 內容簡介： |
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本书以全国硕士研究生招生考试数学考试大纲为依据，精讲了高等数学中的重要知识点，同时配备了相应的例题和习题。全书共11 章，分上、下两册，每章都由知识点提要、例题与方法、习题三部分组成。 其中，知识点提要部分精讲了每章的重要知识点；例题与方法、习题部分包含历年考研真题和相似类型的练习题，便于学生练习和巩固。
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| 關於作者： |
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任雪昆，哈尔滨工业大学数学学院副教授，硕导，博士毕业于哈尔滨工业大学基础数学专业，研究领域为模糊分析学，获得多项国家自然科学基金项目。
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| 目錄：
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第1 章 函数································································································································11.1 知识点提要·····················································································································11.1.1 函数的概念·············································································································11.1.2 具有特殊性质的函数································································································11.2 例题与方法·····················································································································21.2.1 函数定义域的确定及函数关系符号的使用··································································21.2.2 函数性质的鉴别······································································································31.3 习题································································································································4第2 章 极限与连续·····················································································································82.1 知识点提要·····················································································································82.1.1 极限、连续、间断点的概念及其等价概念··································································82.1.2 无穷小····················································································································92.1.3 极限和连续的性质···································································································92.1.4 闭区间上连续函数的三个原理···················································································92.2 例题与方法·····················································································································92.2.1 极限的计算·············································································································92.2.2 函数连续性与间断点的鉴别····················································································192.2.3 闭区间上连续函数的三个原理的应用·······································································202.3 习题······························································································································21第3 章 导数与微分···················································································································283.1 知识点提要···················································································································283.1.1 导数与微分的概念、关系及实际意义·······································································283.1.2 导数公式··············································································································293.2 例题与方法···················································································································303.2.1 导数与微分的计算·································································································303.2.2 导数意义的应用····································································································373.2.3 微分与近似计算····································································································393.3 习题······························································································································40第4 章 中值定理及导数应用···································································································454.1 知识点提要···················································································································454.1.1 微分中值定理及推论······························································································454.1.2 应用定理··············································································································464.1.3 应用公式··············································································································474.2 例题与方法··················································································································4
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