高等数学习题与解析（上册）
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作者任雪昆
出版社电子工业出版社
ISBN9787121426438
出版时间2022-02
装帧平装
开本16开
定价52元
货号29371902
上书时间2024-12-01
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导语摘要
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。
作者简介
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。
目录
第1 章 函数································································································································1
1.1 知识点提要·····················································································································1
1.1.1 函数的概念·············································································································1
1.1.2 具有特殊性质的函数································································································1
1.2 例题与方法·····················································································································2
1.2.1 函数定义域的确定及函数关系符号的使用··································································2
1.2.2 函数性质的鉴别······································································································3
1.3 习题································································································································4
第2 章 极限与连续·····················································································································8
2.1 知识点提要·····················································································································8
2.1.1 极限、连续、间断点的概念及其等价概念··································································8
2.1.2 无穷小····················································································································9
2.1.3 极限和连续的性质···································································································9
2.1.4 闭区间上连续函数的三个原理···················································································9
2.2 例题与方法·····················································································································9
2.2.1 极限的计算·············································································································9
2.2.2 函数连续性与间断点的鉴别····················································································19
2.2.3 闭区间上连续函数的三个原理的应用·······································································20
2.3 习题······························································································································21
第3 章 导数与微分···················································································································28
3.1 知识点提要···················································································································28
3.1.1 导数与微分的概念、关系及实际意义·······································································28
3.1.2 导数公式··············································································································29
3.2 例题与方法···················································································································30
3.2.1 导数与微分的计算·································································································30
3.2.2 导数意义的应用····································································································37
3.2.3 微分与近似计算····································································································39
3.3 习题······························································································································40
第4 章 中值定理及导数应用···································································································45
4.1 知识点提要···················································································································45
4.1.1 微分中值定理及推论······························································································45
4.1.2 应用定理··············································································································46
4.1.3 应用公式··············································································································47
4.2 例题与方法··················································································································4
内容摘要
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。
主编推荐
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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