{"product_id":"9783319653211","title":"Applied and Numerical Harmonic Analysis","description":"\u003ch1\u003eApplied and Numerical Harmonic Analysis\u003c\/h1\u003e \u003ch2\u003eHeil, Christopher\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis text is a self-contained introduction to the three main families that we encounter in analysis – \u003ci\u003emetric spaces, normed spaces\u003c\/i\u003e, and \u003ci\u003einner product spaces \u003c\/i\u003e– and to the operators that transform objects in one into objects in another.  With an emphasis on the fundamental properties defining the spaces, this book guides readers to a deeper understanding of analysis and an appreciation of the field as the “science of functions.”\u003c\/p\u003e\u003cp\u003eMany important topics that are rarely presented in an accessible way to undergraduate students are included, such as unconditional convergence of series, Schauder bases for Banach spaces, the dual of ℓ\u003ci\u003e\u003csub\u003ep\u003c\/sub\u003e\u003c\/i\u003e topological isomorphisms, the Spectral Theorem, the Baire Category Theorem, and the Uniform Boundedness Principle.  The text is constructed in such a way that instructors have the option whether to include more advanced topics.\u003c\/p\u003e\u003cp\u003eWritten in an appealing and accessible style, \u003ci\u003eMetrics, Norms, Inner Products, and Operator Theory\u003c\/i\u003e is suitable for independent study or as the basis for an undergraduate-level course.  Instructors have several options for building a course around the text depending on the level and interests of their students.\u003c\/p\u003eKey features:\u003cul\u003e\n\u003cli\u003eAimed at students who have a basic knowledge of undergraduate real analysis.  All of the required background material is reviewed in the first chapter.\u003c\/li\u003e\n\u003cli\u003eSuitable for undergraduate-level courses; no familiarity with measure theory is required.\u003c\/li\u003e\n\u003cli\u003eExtensive exercises complement the text and provide opportunities for learning by doing.\u003c\/li\u003e\n\u003cli\u003eA separate solutions manual is available for instructors via the Birkhäuser website (www.springer.com\/978-3-319-65321-1).     \u003c\/li\u003e\n\u003c\/ul\u003eUnique text providing an undergraduate-level introduction to metrics, norms, inner products, \u003ci\u003eand\u003c\/i\u003e their associated operator theory. \u003cbr\u003e\u003cul\u003e \u003c\/ul\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e\u003c\/p\u003e  \u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Birkhäuser\u003c\/p\u003e \u003cp\u003ePublication Date: 2018-09-11\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783319653211\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-319-65322-8\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 359\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":45417071083660,"sku":"9783319653211","price":80.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319653211.jpg?v=1775740897","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783319653211","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}