{"product_id":"9781489987945","title":"Cornerstones: Fundamentals and Applications","description":"\u003ch1\u003eCornerstones: Fundamentals and Applications\u003c\/h1\u003e \u003ch2\u003eWillem, Michel\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe goal of this work is to present the principles of functional analysis in a clear and concise way. The first three chapters of\u003ci\u003e Functional Analysis: Fundamentals and Applications\u003c\/i\u003e describe the general notions of distance, integral and norm, as well as their relations. The three chapters that follow deal with fundamental examples: Lebesgue spaces, dual spaces and Sobolev spaces. Two subsequent chapters develop applications to capacity theory and elliptic problems. In particular, the isoperimetric inequality and the Pólya-Szegő and Faber-Krahn inequalities are proved by purely functional methods. The epilogue contains a sketch of the history of functional  analysis, in relation with integration and differentiation. Starting from elementary analysis and introducing relevant recent research, this work is an excellent resource for students in mathematics and applied mathematics. \u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Birkhäuser\u003c\/p\u003e \u003cp\u003ePublication Date: 2015-08-23\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9781489987945\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4614-7004-5\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 213\u003c\/p\u003e ","brand":"Springer New York","offers":[{"title":"Default Title","offer_id":45580719620236,"sku":"9781489987945","price":58.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781489987945.jpg?v=1772892837","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9781489987945","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}