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A First Course in Mathematical Analysis（ISBN=9780521684248）书籍详细信息
- ISBN：9780521684248
- 作者：暂无作者
- 出版社：暂无出版社
- 出版时间：2012-01
- 页数：459
- 价格：281.00
- 纸张：胶版纸
- 装帧：平装
- 开本：16开
- 语言：未知
- 丛书：暂无丛书
- TAG：暂无
- 豆瓣评分：暂无豆瓣评分
内容简介：
Mathematical Analysis (often called Advanced Calculus) is
generally found by students to be one of their hardest courses in
Mathematics. This text uses the so-called sequential approach to
continuity, differentiability and integration to make it easier to
understand the subject.Topics that are generally glossed over in
the standard Calculus courses are given careful study here. For
example, what exactly is a 'continuous' function? And how exactly
can one give a careful definition of 'integral'? The latter
question is often one of the mysterious points in a Calculus course
- and it is quite difficult to give a rigorous treatment of
integration! The text has a large number of diagrams and helpful
margin notes; and uses many graded examples and exercises, often
with complete solutions, to guide students through the tricky
points. It is suitable for self-study or use in parallel with a
standard university course on the subject.
书籍目录：
Preface
Introduction: calculus and analysis
1. Numbers
2. Sequences
3. Series
4. Continuity
5. Limits and continuity
6. Differentiation
7. Integration
8. Power series
Appendix 1. Sets, functions and proofs
Appendix 2. Standard derivatives and primitives
Appendix 3. The first 1,000 decimal places of the square root of 2,
e and pi
Appendix 4. Solutions to the problems
Index.
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书籍介绍
Mathematical Analysis (often called Advanced Calculus) is generally found by students to be one of their hardest courses in Mathematics. This text uses the so-called sequential approach to continuity, differentiability and integration to make it easier to understand the subject.Topics that are generally glossed over in the standard Calculus courses are given careful study here. For example, what exactly is a 'continuous' function? And how exactly can one give a careful definition of 'integral'? The latter question is often one of the mysterious points in a Calculus course - and it is quite difficult to give a rigorous treatment of integration! The text has a large number of diagrams and helpful margin notes; and uses many graded examples and exercises, often with complete solutions, to guide students through the tricky points. It is suitable for self-study or use in parallel with a standard university course on the subject.
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