注重体验与质量的电子书资源下载网站
分类于: 计算机基础 人工智能
简介
The Real Analysis Lifesaver: All the Tools You Need to Understand Proofs 豆 0.0分
资源最后更新于 2020-11-20 02:35:05
作者：Raffi Grinberg
出版社：Princeton University Press
出版日期：2017-01
ISBN：9780691172934
文件格式： pdf
标签： 数学 实分析 数学分析 数学-实分析 VB #FDP#
简介· · · · · ·
Real analysis is difficult. For most students, in addition to learning new material about real numbers, topology, and sequences, they are also learning to read and write rigorous proofs for the first time. The Real Analysis Lifesaver is an innovate guide that helps students through their first real analysis course while giving them the solid foundation they need for further stu...
目录
Preliminaries 1
1 Introduction 3
2 Basic Math and Logic* 6
3 Set Theory* 14
Real Numbers 25
4 Least Upper Bounds* 27
5 The Real Field* 35
6 Complex Numbers and Euclidean Spaces 46
Topology 59
7 Bijections 61
8 Countability 68
9 Topological Definitions* 79
10 Closed and Open Sets* 90
11 Compact Sets* 98
12 The Heine-Borel Theorem* 108
13 Perfect and Connected Sets 117
Sequences 127
14 Convergence* 129
15 Limits and Subsequences* 138
16 Cauchy and Monotonic Sequences* 148
17 Subsequential Limits 157
18 Special Sequences 166
19 Series* 174
20 Conclusion 183
Acknowledgments 187
Bibliography 189
Index 191
1 Introduction 3
2 Basic Math and Logic* 6
3 Set Theory* 14
Real Numbers 25
4 Least Upper Bounds* 27
5 The Real Field* 35
6 Complex Numbers and Euclidean Spaces 46
Topology 59
7 Bijections 61
8 Countability 68
9 Topological Definitions* 79
10 Closed and Open Sets* 90
11 Compact Sets* 98
12 The Heine-Borel Theorem* 108
13 Perfect and Connected Sets 117
Sequences 127
14 Convergence* 129
15 Limits and Subsequences* 138
16 Cauchy and Monotonic Sequences* 148
17 Subsequential Limits 157
18 Special Sequences 166
19 Series* 174
20 Conclusion 183
Acknowledgments 187
Bibliography 189
Index 191
猜你喜欢
ABAQUS6.14中文版有限元分析与实例详解
评分: 0.0
游戏开发的数学和物理
评分: 7.6
可能与不可能的边界: P/NP问题趣史
评分: 7.5
自然计算：DNA、量子比特和智能机器的未来
评分: 6.1
统计思维: 程序员数学之概率统计
评分: 6.8