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In den WarenkorbPaperback. Zustand: Brand New. 2nd ed. edition. 323 pages. 9.00x7.00x0.75 inches. In Stock.
Anbieter: preigu, Osnabrück, Deutschland
Taschenbuch. Zustand: Neu. Linear Functional Analysis | Bryan Rynne (u. a.) | Taschenbuch | Springer Undergraduate Mathematics Series | x | Englisch | 2007 | Springer | EAN 9781848000049 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.