{"product_id":"9783032246639","title":"Cornerstones: An Introductory Path Toward Functional Analysis and Probability","description":"\u003ch1\u003eCornerstones: An Introductory Path Toward Functional Analysis and Probability\u003c\/h1\u003e \u003ch2\u003eThorbjørnsen, Steen\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis textbook provides a thorough exposition of measure and integration theory in a style that is very detailed and thus easy to follow and understand. While breaking down argumentation to simple steps and maintaining a consistent exposition, the book presents the theory on a high level of scientific rigor and generality.\u003c\/p\u003e\n\u003cp\u003eAlthough the book covers a wide spectrum of topics, it leads to a path in functional analysis and probability theory. Thus, a full chapter on measures with densities, including Lebesgue decomposition and Radon-Nikodym's theorem, is included, as well as a chapter on transformation of measures, which is a crucial topic in probability theory. Chapters on Hilbert spaces and the Fourier transform prepare the way for a direction in functional analysis. The book features also a presentation of the Cauchy-Stieltjes transform, which is an alternative to the Fourier transform and highly used in some branches of mathematics, like mathematical physics and random matrix theory.\u003c\/p\u003e\n\u003cp\u003eThe textbook has been tested for more than a decade in classrooms. Its style is particularly aimed at students who prefer a step-by-step approach, making it suitable for self-study as well. Appendices that cover all needed background material on real numbers, countability and metric spaces, are provided.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Birkhäuser\u003c\/p\u003e \u003cp\u003ePublication Date: 2026-07-27\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783032246639\u003c\/p\u003e \u003cp\u003eDOI: \u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 574\u003c\/p\u003e ","brand":"Springer Nature Switzerland","offers":[{"title":"Default Title","offer_id":46793608691852,"sku":"9783032246639","price":71.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783032246639.jpg?v=1779937014","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783032246639","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}