{"product_id":"9783662741672","title":"Measure and Integration","description":"\u003ch3\u003eMathematics Study Resources\u003c\/h3\u003e\u003ch1\u003eMeasure and Integration\u003c\/h1\u003e\u003ch3\u003eJürgen Elstrodt | Anton Deitmar | Niklas Hebestreit-Düsing\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Mathematical Analysis\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\n\u003cp\u003eThis textbook provides readers with a solid foundation of essential knowledge required for broad areas of mathematics, particularly real analysis, functional analysis, probability theory, and mathematical statistics.\u003c\/p\u003e\r\n\u003cp\u003eKey topics include product measures, Fourier transformation, the change-of-variables formula, concepts of convergence, absolute continuity, and measures on topological spaces. Highlights include the derivation of the Riesz representation theorem using an extension result by Kisyński, and the proof of the existence and uniqueness of the Haar measure.\u003c\/p\u003e\r\n\u003cp\u003eThe book also contains a section on the convergence of measures and Prokhorov's theorem. The text is enriched with numerous excursions into the history of mathematics and short portraits of mathematicians who made significant contributions to the book’s subject matter. A wide range of exercises deepens the understanding of the material.\u003c\/p\u003e\r\n\u003cp\u003e\u003cspan style=\"background-color: rgb(255, 255, 255); color: rgb(34, 34, 34);\"\u003eThis book is a translation of the original German 8th edition. The translation was done with the help of an artificial intelligence machine translation tool. A subsequent human revision was done primarily in terms of content, so that the book may read stylistically differently from a conventional translation.\u003c\/span\u003e\u003c\/p\u003e\n\u003c\/div\u003e\u003cdiv\u003e\n\u003cp\u003eProf. Dr. Jürgen Elstrodt, University of Münster\u003c\/p\u003e\r\n\u003cp\u003eTranslation verified by \u003cbr\u003eProf. Dr. Anton Deitmar and Dr. Niklas Hebestreit-Düsing\u003c\/p\u003e\n\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e05 October 2026\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eSpringer Berlin Heidelberg\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eSpringer\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9783662741672\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003ePaperback softback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePage Count: \u003c\/td\u003e\n\u003ctd\u003e472\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":51459151298700,"sku":"9783662741672","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783662741672.jpg?v=1784157036","url":"https:\/\/lateknightbooks.com\/products\/9783662741672","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}