{"product_id":"essentials-of-integration-theory-for-analysis-9781461429883","title":"Essentials of Integration Theory for Analysis","description":"\u003cp\u003e • Author(s): Daniel W. Stroock\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Mathematical Analysis\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003ci\u003eEssentials of Integration Theory for Analysis\u003c\/i\u003e is a substantial revision of the best-selling Birkhäuser title by the same author, \u003ci\u003eA Concise Introduction to the Theory of Integration. \u003c\/i\u003eHighlights of this new textbook for the GTM series include revisions to Chapter 1 which add a section about the rate of convergence of Riemann sums and introduces a discussion of the Euler-MacLauren formula. \u003ci\u003e \u003c\/i\u003eIn\u003ci\u003e \u003c\/i\u003eChapter 2, where Lebesque's theory is introduced, a construction of the countably additive measure is done with sufficient generality to cover both Lebesque and Bernoulli measures. Chapter 3 includes a proof of Lebesque's differential theorem for all monotone functions and the concluding chapter has been expanded to include a proof of Carathéory's method for constructing measures and his result is applied to the construction of the Hausdorff measures. \u003c\/p\u003e\u003cp\u003eThis new gem is appropriate as a text for a one-semester graduate course in integration theory and is complimented by the addition of several problems related to the new material. The text is also highly useful for self-study. A complete solutions manual is available for instructors who adopt the text for their courses.\u003c\/p\u003e\u003cp\u003eAdditional publications by Daniel W. Stroock: \u003ci\u003eAn Introduction to Markov Processes\u003c\/i\u003e, (c)2005 Springer (GTM 230), ISBN: 978-3-540-23499-9; \u003ci\u003eA Concise Introduction to the Theory of Integration\u003c\/i\u003e, (c) 1998 Birkhäuser Boston, ISBN: 978-0-8176-4073-6; (with S.R.S. Varadhan) \u003ci\u003eMultidimensional Diffusion Processes\u003c\/i\u003e, (c) 1979 Springer (Classics in Mathematics), ISBN: 978-3-540-28998-2.\u003ci\u003e \u003c\/i\u003e\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45274083393687,"sku":"9781461429883","price":3639.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781461429883.webp?v=1769238742","url":"https:\/\/atlanticbooks.com\/products\/essentials-of-integration-theory-for-analysis-9781461429883","provider":"Atlantic Books","version":"1.0","type":"link"}