Linear Functional Analysis: Edition 2
Bryan Rynne · M.A. Youngson
dec 2007 · Springer Science & Business Media
E-boek
324
Pagina's
reportBeoordelingen en reviews worden niet geverifieerd. Meer informatie
Over dit e-boek
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.
Dit e-boek beoordelen
Geef ons je mening.
Informatie over lezen
Smartphones en tablets
Installeer de Google Play Boeken-app voor Android en iPad/iPhone. De app wordt automatisch gesynchroniseerd met je account en met de app kun je online of offline lezen, waar je ook bent.
Laptops en computers
Via de webbrowser van je computer kun je luisteren naar audioboeken die je hebt gekocht op Google Play.
eReaders en andere apparaten
Als je wilt lezen op e-ink-apparaten zoals e-readers van Kobo, moet je een bestand downloaden en overzetten naar je apparaat. Volg de gedetailleerde instructies in het Helpcentrum om de bestanden over te zetten op ondersteunde e-readers.
