{"product_id":"functional-analysis-hardback-9781009232470","title":"Functional Analysis (Hardback) 9781009232470","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eFunctional Analysis\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eA comprehensive, graduate-level introduction to functional analysis covering both the theory and main applications, with over 300 exercises.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eJan van Neerven (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781009232470, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 7 July 2022\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e650 pages\u003cbr\u003e23.5 x 15.7 x 4.9 cm, 1.23 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'One of its strengths is that it is a genuine textbook rather than a reference text. It is highly readable and pedagogical, giving a good level of detail in proofs, but staying concise and keeping its story clear rather than being encyclopedic. Another strength of the textbook is that it is well motivated by applications of functional analysis to other areas of mathematics, with a special emphasis on partial differential equations and quantum mechanics throughout the book.' Pierre Portal, zbMATH\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis comprehensive introduction to functional analysis covers both the abstract theory and applications to spectral theory, the theory of partial differential equations, and quantum mechanics. It starts with the basic results of the subject and progresses towards a treatment of several advanced topics not commonly found in functional analysis textbooks, including Fredholm theory, form methods, boundary value problems, semigroup theory, trace formulas, and a mathematical treatment of states and observables in quantum mechanics. The book is accessible to graduate students with basic knowledge of topology, real and complex analysis, and measure theory. With carefully written out proofs, more than 300 problems, and appendices covering the prerequisites, this self-contained volume can be used as a text for various courses at the graduate level and as a reference text for researchers in the field.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Banach spaces\u003cbr\u003e 2. The classical Banach spaces\u003cbr\u003e 3. Hilbert spaces\u003cbr\u003e 4. Duality\u003cbr\u003e 5. Bounded operators\u003cbr\u003e 6. Spectral theory\u003cbr\u003e 7. Compact operators\u003cbr\u003e 8. Bounded operators on Hilbert spaces\u003cbr\u003e 9. The spectral theorem for bounded normal operators\u003cbr\u003e 10. The spectral theorem for unbounded normal operators\u003cbr\u003e 11. Boundary value problems\u003cbr\u003e 12. Forms\u003cbr\u003e 13. Semigroups of linear operators\u003cbr\u003e 14. Trace class operators\u003cbr\u003e 15. States and observables\u003cbr\u003e Appendix A. Zorn's lemma\u003cbr\u003e Appendix B. Tensor products\u003cbr\u003e Appendix C. Topological spaces\u003cbr\u003e Appendix D. Metric spaces\u003cbr\u003e Appendix E. Measure spaces\u003cbr\u003e Appendix F. Integration\u003cbr\u003e Appendix G. Notes\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical physics [\u003ca title=\"See our other books on Mathematical physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20physics%20%5BPHU%5D%22\"\u003ePHU\u003c\/a\u003e], Functional analysis \u0026amp; transforms [\u003ca title=\"See our other books on Functional analysis \u0026amp; transforms\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Functional%20analysis%20\u0026amp;%20transforms%20%5BPBKF%5D%22\"\u003ePBKF\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":46001960681752,"sku":"9781009232470","price":53.59,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781009232470i.jpg?v=1696791506","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/functional-analysis-hardback-9781009232470","provider":"Freshly Printed Books","version":"1.0","type":"link"}