| 书目名称 | Metric Spaces |
| 编辑 | Satish Shirali,Harkrishan L. Vasudeva |
| 视频video | |
| 概述 | One of the first books dedicated to metric spaces.Full of worked examples, to get quite complex idea across more easily.The authors scrupulously avoid mention of examples involving any knowledge of Me |
| 图书封面 |  |
| 描述 | Since the last century, the postulational method and an abstract point of view have played a vital role in the development of modern mathematics. The experience gained from the earlier concrete studies of analysis point to the importance of passage to the limit. The basis of this operation is the notion of distance between any two points of the line or the complex plane. The algebraic properties of underlying sets often play no role in the development of analysis; this situation naturally leads to the study of metric spaces. The abstraction not only simplifies and elucidates mathematical ideas that recur in different guises, but also helps eco- mize the intellectual effort involved in learning them. However, such an abstract approach is likely to overlook the special features of particular mathematical developments, especially those not taken into account while forming the larger picture. Hence, the study of particular mathematical developments is hard to overemphasize. The language inwhich a large body of ideas and results of functional analysis are expressed is that of metric spaces. The books on functional analysis seem to go over the preliminaries of this topic far too quickly. |
| 出版日期 | Textbook 2006 |
| 关键词 | Compact space; Connected space; Continuous functions; Hilbert space; Metric Spaces; Open and closed sets; |
| 版次 | 1 |
| doi | https://doi.org/10.1007/1-84628-244-6 |
| isbn_softcover | 978-1-85233-922-7 |
| isbn_ebook | 978-1-84628-244-7 |
| copyright | Springer-Verlag London 2006 |
发表于 2025-3-21 18:32:58
