| 书目名称 | Linear Functional Analysis |
| 编辑 | Bryan P. Rynne,Martin A. Youngson |
| 视频video | |
| 丛书名称 | Springer Undergraduate Mathematics Series |
| 图书封面 |  |
| 描述 | This book provides an introduction to the ideas and methods of linear fu- tional analysis at a level appropriate to the ?nal year of an undergraduate course at a British university. The prerequisites for reading it are a standard undergraduate knowledge of linear algebra and real analysis (including the t- ory of metric spaces). Part of the development of functional analysis can be traced to attempts to ?nd a suitable framework in which to discuss di?erential and integral equations. Often, the appropriate setting turned out to be a vector space of real or complex-valued functions de?ned on some set. In general, such a v- tor space is in?nite-dimensional. This leads to di?culties in that, although many of the elementary properties of ?nite-dimensional vector spaces hold in in?nite-dimensional vector spaces, many others do not. For example, in general in?nite-dimensionalvectorspacesthereisnoframeworkinwhichtomakesense of analytic concepts such as convergence and continuity. Nevertheless, on the spaces of most interest to us there is often a norm (which extends the idea of the length of a vector to a somewhat more abstract setting). Since a norm on a vector space gives rise to a metri |
| 出版日期 | Textbook 2008Latest edition |
| 关键词 | Analysis; Hilbert space; Linear Algebra; Operator Theory; calculus; differential equation; functional anal |
| 版次 | 2 |
| doi | https://doi.org/10.1007/978-1-84800-005-6 |
| isbn_softcover | 978-1-84800-004-9 |
| isbn_ebook | 978-1-84800-005-6Series ISSN 1615-2085 Series E-ISSN 2197-4144 |
| issn_series | 1615-2085 |
| copyright | Springer-Verlag London 2008 |
发表于 2025-3-21 19:26:42
