{"product_id":"functional-analysis-9783110441918","title":"Functional Analysis","description":"\u003cp\u003eThis textbook on functional analysis offers a short and concise introduction to the subject. The book is designed in such a way as to provide a smooth transition between elementary and advanced topics and its modular structure allows for an easy assimilation of the content. Starting from a dedicated chapter on the axiom of choice, subsequent chapters cover Hilbert spaces, linear operators, functionals and duality, Fourier series, Fourier transform, the fixed point theorem, Baire categories, the uniform bounded principle, the open mapping theorem, the closed graph theorem, the Hahn–Banach theorem, adjoint operators, weak topologies and reflexivity, operators in Hilbert spaces, spectral theory of operators in Hilbert spaces, and compactness. Each chapter ends with workable problems.\u003cbr\u003eThe book is suitable for graduate students, but also for advanced undergraduates, in mathematics and physics. \u003c\/p\u003e \u003cp\u003e\u003cstrong\u003eContents:\u003c\/strong\u003e\u003cbr\u003eList of Figures\u003cbr\u003eBasic Notation\u003cbr\u003eChoice Principles\u003cbr\u003eHilbert Spaces\u003cbr\u003eCompleteness, Completion and Dimension\u003cbr\u003eLinear Operators\u003cbr\u003eFunctionals and Dual Spaces\u003cbr\u003eFourier Series\u003cbr\u003eFourier Transform\u003cbr\u003eFixed Point Theorem\u003cbr\u003eBaire Category Theorem\u003cbr\u003eUniform Boundedness Principle\u003cbr\u003eOpen Mapping Theorem\u003cbr\u003eClosed Graph Theorem\u003cbr\u003eHahn–Banach Theorem\u003cbr\u003eThe Adjoint Operator\u003cbr\u003eWeak Topologies and Reflexivity\u003cbr\u003eOperators in Hilbert Spaces\u003cbr\u003eSpectral Theory of Operators on Hilbert Spaces\u003cbr\u003eCompactness\u003cbr\u003eBibliography\u003cbr\u003eIndex \u003c\/p\u003e","brand":"Gerardo Chacón","offers":[{"title":"Default Title","offer_id":48262540394747,"sku":"9783110441918","price":70.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0779\/3917\/9771\/files\/CoreSourceHub_484aa1af-99ee-4385-9b71-5b3b4c5b5d2e.jpg?v=1775608740","url":"https:\/\/indiepubs.com\/products\/functional-analysis-9783110441918","provider":"IndiePubs","version":"1.0","type":"link"}