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Nicht auf Lager
Buch (Softcover): Fachbuch
Linear Functional Analysis
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Verlag:
Springer Verlag Unsere-Artikel-Nr.: M7KVRLP
EAN: 9781848000049
Erhältlich:
Nicht auf Lager
Zustellung: Di, 21.07.2026
Versand: Kostenlos
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CHF 50.90
CHF 45.–
Beschreibung
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 metric on the space, it is now possible to do analysis in the space. As real or complex-valued functions are often called functionals, the term functional analysis came to be used for this topic. We now brie. y outline the contents of the book.
Spezifikationen
Sprache
- Englisch
Autor
- Bryan Rynne
- M.A. Youngson
Kollektion
- Springer Undergraduate Mathematics Series
Zielgruppe
- Upper undergraduate
Auflage
- 2
Erscheinungsjahr
- 2007
Erscheinungsland
- Grossbritannien
Format
- Buch (Softcover)
Anzahl Seiten
- 336
