{"product_id":"9780387951560","title":"CMS Books in Mathematics","description":"\u003ch1\u003eCMS Books in Mathematics\u003c\/h1\u003e \u003ch2\u003eDeutsch, Frank R.\u003c\/h2\u003e \u003cp\u003eThis book evolved from notes originally developed for a graduate course, \"Best Approximation in Normed Linear Spaces,\" that I began giving at Penn State Uni­ versity more than 25 years ago. It soon became evident. that many of the students who wanted to take the course (including engineers, computer scientists, and statis­ ticians, as well as mathematicians) did not have the necessary prerequisites such as a working knowledge of Lp-spaces and some basic functional analysis. (Today such material is typically contained in the first-year graduate course in analysis. ) To accommodate these students, I usually ended up spending nearly half the course on these prerequisites, and the last half was devoted to the \"best approximation\" part. I did this a few times and determined that it was not satisfactory: Too much time was being spent on the presumed prerequisites. To be able to devote most of the course to \"best approximation,\" I decided to concentrate on the simplest of the normed linear spaces-the inner product spaces-since the theory in inner product spaces can be taught from first principles in much less time, and also since one can give a convincing argument that inner product spaces are the most important of all the normed linear spaces anyway. The success of this approach turned out to be even better than I had originally anticipated: One can develop a fairly complete theory of best approximation in inner product spaces from first principles, and such was my purpose in writing this book.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2001-04-20\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9780387951560\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4684-9298-9\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 338\u003c\/p\u003e ","brand":"Springer New York","offers":[{"title":"Default Title","offer_id":46541655408780,"sku":"9780387951560","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9780387951560.jpg?v=1775744605","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9780387951560","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}