{"product_id":"a-comprehensive-course-in-analysis-5-volume-set-9781470410988","title":"A Comprehensive Course in Analysis 5 Volume Set","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003eContents for Part 1 (Real Analysis): Preliminaries\u003c\/li\u003e\n\u003cli\u003eTopological spaces\u003c\/li\u003e\n\u003cli\u003eA first look at Hilbert spaces and Fourier series\u003c\/li\u003e\n\u003cli\u003eMeasure theory\u003c\/li\u003e\n\u003cli\u003eConvexity and Banach spaces\u003c\/li\u003e\n\u003cli\u003eTempered distributions and the Fourier transform\u003c\/li\u003e\n\u003cli\u003eBonus chapter: Probability basics\u003c\/li\u003e\n\u003cli\u003eBonus chapter: Hausdorff measure and dimension\u003c\/li\u003e\n\u003cli\u003eBonus chapter: Inductive limits and ordinary distributions\u003c\/li\u003e\n\u003cli\u003eBibliography\u003c\/li\u003e\n\u003cli\u003eSymbol index\u003c\/li\u003e\n\u003cli\u003eSubject index\u003c\/li\u003e\n\u003cli\u003eAuthor index\u003c\/li\u003e\n\u003cli\u003eIndex of capsule biographies\u003c\/li\u003e\n\u003cli\u003eContents for Part 2A (Basic Complex Analysis): Preliminaries\u003c\/li\u003e\n\u003cli\u003eThe Cauchy integral theorem: Basics Consequences of the Cauchy integral formula\u003c\/li\u003e\n\u003cli\u003eChains and the ultimate Cauchy integral theorem\u003c\/li\u003e\n\u003cli\u003eMore consequences of the CIT\u003c\/li\u003e\n\u003cli\u003eSpaces of analytic functions\u003c\/li\u003e\n\u003cli\u003eFractional linear transformations\u003c\/li\u003e\n\u003cli\u003eConformal maps\u003c\/li\u003e\n\u003cli\u003eZeros of analytic functions and product formulae\u003c\/li\u003e\n\u003cli\u003eElliptic functions\u003c\/li\u003e\n\u003cli\u003eSelected additional topics\u003c\/li\u003e\n\u003cli\u003eBibliography\u003c\/li\u003e\n\u003cli\u003eSymbol index\u003c\/li\u003e\n\u003cli\u003eSubject index\u003c\/li\u003e\n\u003cli\u003eAuthor index\u003c\/li\u003e\n\u003cli\u003eIndex of capsule biographies\u003c\/li\u003e\n\u003cli\u003eContents for Part 2B (Advanced Complex Analysis): Riemannian metrics and complex analysis\u003c\/li\u003e\n\u003cli\u003eSome topics in analytic number theory\u003c\/li\u003e\n\u003cli\u003eOrdinary differential equations in the complex domain\u003c\/li\u003e\n\u003cli\u003eAsymptotic methods\u003c\/li\u003e\n\u003cli\u003eUnivalent functions and Loewner evolution\u003c\/li\u003e\n\u003cli\u003eNevanlinna theory\u003c\/li\u003e\n\u003cli\u003eBibliography\u003c\/li\u003e\n\u003cli\u003eSymbol index\u003c\/li\u003e\n\u003cli\u003eSubject index\u003c\/li\u003e\n\u003cli\u003eAuthor index\u003c\/li\u003e\n\u003cli\u003eIndex of capsule biographies\u003c\/li\u003e\n\u003cli\u003eContents for Part 3 (Harmonic Analysis): Preliminaries\u003c\/li\u003e\n\u003cli\u003ePointwise convergence almost everywhere\u003c\/li\u003e\n\u003cli\u003eHarmonic and subharmonic functions\u003c\/li\u003e\n\u003cli\u003eBonus chapter: Phase space analysis $H^p$ spaces and boundary values of analytic functions on the unit disk\u003c\/li\u003e\n\u003cli\u003eBonus chapter: More inequalities\u003c\/li\u003e\n\u003cli\u003eBibliography\u003c\/li\u003e\n\u003cli\u003eSymbol index\u003c\/li\u003e\n\u003cli\u003eSubject index\u003c\/li\u003e\n\u003cli\u003eAuthor index\u003c\/li\u003e\n\u003cli\u003eIndex of capsule biographies\u003c\/li\u003e\n\u003cli\u003eContents for Part 4 (Operator Theory): Preliminaries\u003c\/li\u003e\n\u003cli\u003eOperator basics\u003c\/li\u003e\n\u003cli\u003eCompact operators, mainly on a Hilbert space\u003c\/li\u003e\n\u003cli\u003eOrthogonal polynomials\u003c\/li\u003e\n\u003cli\u003eThe spectral theorem\u003c\/li\u003e\n\u003cli\u003eBanach algebras\u003c\/li\u003e\n\u003cli\u003eBonus chapter: Unbounded self-adjoint operators\u003c\/li\u003e\n\u003cli\u003eBibliography\u003c\/li\u003e\n\u003cli\u003eSymbol index\u003c\/li\u003e\n\u003cli\u003eSubject index\u003c\/li\u003e\n\u003cli\u003eAuthor index\u003c\/li\u003e\n\u003cli\u003eIndex of capsule biographies\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":50041331908951,"sku":"9781470410988","price":298.8,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781470410988.jpg?v=1740182606","url":"https:\/\/bookcurl.com\/products\/a-comprehensive-course-in-analysis-5-volume-set-9781470410988","provider":"Book Curl","version":"1.0","type":"link"}