{"product_id":"9781848000049","title":"Springer Undergraduate Mathematics Series","description":"\u003ch1\u003eSpringer Undergraduate Mathematics Series\u003c\/h1\u003e \u003ch2\u003eRynne, Bryan; Youngson, M.A.\u003c\/h2\u003e \u003cp\u003eThis 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.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2007-12-21\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9781848000049\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-84800-005-6\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x178cm\u003c\/p\u003e \u003cp\u003ePages: 324\u003c\/p\u003e ","brand":"Springer London","offers":[{"title":"Default Title","offer_id":44365124010124,"sku":"9781848000049","price":34.19,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781848000049.jpg?v=1775730842","url":"https:\/\/lateknightbooks.com\/products\/9781848000049","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}