{"product_id":"elements-of-functional-analysis-paperback-9780521358682","title":"Elements of Functional Analysis (Paperback) 9780521358682","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eElements of Functional Analysis\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis 1970 textbook aims to provide a truly introductory course in functional analysis.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eI. J. Maddox (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521358682, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 26 January 1989\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e256 pages\u003cbr\u003e22.8 x 15.1 x 1.5 cm, 0.35 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThe second edition of this successful textbook, first published in 1970, retains the aims of the first, namely to provide a truly introductory course in functional analysis, but the opportunity has been taken to add more detail and worked examples. The main changes are complete revisons of the work on convex sets, metric and topological linear spaces, reflexivity and weak convergence. Additional material on the Weiner algebra of absolutely convergent Fourier series and on weak topologies is included. A final chapter includes elementary applications of functional analysis to differential and integral equations.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface to the second edition\u003cbr\u003e Preface to the first edition\u003cbr\u003e Part I. Basic Set Theory and Analysis: 1. Sets and functions\u003cbr\u003e 2. Real and complex numbers\u003cbr\u003e 3. Sequences of functions, continuity, differentiability\u003cbr\u003e 4. Inequalities\u003cbr\u003e Part II. Metric and Topological Spaces: 1. Metric and semimetric spaces\u003cbr\u003e 2. Complete metric spaces\u003cbr\u003e 3. Some metric and topological concepts\u003cbr\u003e 4. Continuous functions on metric and topological spaces\u003cbr\u003e 5. Compact sets\u003cbr\u003e 6. Category and uniform boundedness\u003cbr\u003e Part III. Linear and Linear Metric Spaces: 1. Linear spaces\u003cbr\u003e 2. Subspaces, dimensionality, factorspaces, convex sets\u003cbr\u003e 3. Metric linear spaces, topological linear spaces\u003cbr\u003e 4. Basis\u003cbr\u003e Part IV. Normed Linear Spaces: 1. Convergence and completeness\u003cbr\u003e 2. Linear operators and functionals\u003cbr\u003e 3. The Banach–Steinhaus theorem\u003cbr\u003e 4. The open mapping and closed graph theorems\u003cbr\u003e 5. The Hahn–Banach extension\u003cbr\u003e 6. Weak topology and weak convergence\u003cbr\u003e Part V. 1. Algebras and Banach algebras\u003cbr\u003e 2. Homomorphisms and isomorphisms\u003cbr\u003e 3. The spectrum and the Gelfand–Mazaur theorem\u003cbr\u003e 4. The Weiner algebra\u003cbr\u003e Part VI. Hilbert Space: 1. Inner product and Hilbert spaces\u003cbr\u003e 2. Orthonormal sets\u003cbr\u003e 3. The dual space of a Hilbert space\u003cbr\u003e 4. Symmetric and compact operators\u003cbr\u003e Part VII. Applications: 1. Differential and integral problems\u003cbr\u003e 2. The Sturm–Liouville problem\u003cbr\u003e 3. Matrix transformations in sequence spaces\u003cbr\u003e Appendix\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Probability \u0026amp; statistics [\u003ca title=\"See our other books on Probability \u0026amp; statistics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Probability%20\u0026amp;%20statistics%20%5BPBT%5D%22\"\u003ePBT\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46004170490136,"sku":"9780521358682","price":43.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521358682i_fc80b3dc-97ba-4058-b3ee-33c5679ae5e7.jpg?v=1691375664","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/elements-of-functional-analysis-paperback-9780521358682","provider":"Freshly Printed Books","version":"1.0","type":"link"}