Multivariable Advanced Calculus
简介：
这本书是针对那些对一个变量微积分的概念有很好的理解的人，包括序列的极限和R的完整性的概念。它开发了多变量高级微积分。
为了正确地进行多变量微积分，您必须首先了解一些线性代数。因此，首先介绍线性代数的浓缩课程，强调线性代数中那些在分析中有用的主题，而不是那些主要依赖于行操作的主题。
许多主题可以比我选择的更笼统地提出。我也试图以微积分为特征，而不是拓扑。这意味着我引入拓扑，因为它是需要的，而不是使用可能更有效的做法，把它放在一开始就比需要更普遍。我认为通过这种方式将拓扑概念与其他概念联系起来，可能会使拓扑概念更加令人难忘。
英文简介：
This book is directed to people who have a good understanding of the concepts of one variable calculus including the notions of limit of a sequence and completeness of R. It develops multivariable advanced calculus.
In order to do multivariable calculus correctly, you must first understand some linear algebra. Therefore, a condensed course in linear algebra is presented first, emphasizing those topics in linear algebra which are useful in analysis, not those topics which are primarily dependent on row operations.
Many topics could be presented in greater generality than I have chosen to do. I have also attempted to feature calculus, not topology. This means I introduce the topology as it is needed rather than using the possibly more efficient practice of placing it right at the beginning in more generality than will be needed. I think it might make the topological concepts more memorable by linking them in this way to other concepts.
- 书名
- Multivariable Advanced Calculus
- 译名
- 多元高等微积分
- 语言
- 英语
- 年份
- 2016
- 页数
- 450页
- 大小
- 3.10 MB
- 标签
- 微积分
- 数学
- 下载
Multivariable Advanced Calculus.pdf- 密码
- 65536
最后更新：2025-04-12 23:58:11