{"product_id":"integral-measure-and-derivative-a-unified-approach-9780486635194","title":"Integral, Measure and Derivative: A Unified Approach","description":"This graduate-level textbook and monograph defines the functions of a real variable through consistent use of the Daniell scheme, offering a rare and useful alternative to customary approaches. The treatment can be understood by any reader with a solid background in advanced calculus, and it features many problems with hints and answers. \"The exposition is fresh and sophisticated,\" declared \u003ci\u003eSci-Tech Book News, \u003c\/i\u003e \"and will engage the interest of accomplished mathematicians.\" \u003cbr\u003ePart one is devoted to the integral, moving from the Reimann integral and step functions to a general theory, and obtaining the \"classical\" Lebesgue integral in \u003ci\u003en\u003c\/i\u003e space. Part two constructs the Lebesgue-Stieltjes integral through the Daniell scheme using the Reimann-Stieltjes integral as the elementary integral. Part three develops theory of measure with the general Daniell scheme, and the final part is devoted to the theory of the derivative.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Dover Publications\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 05\/17\/2012\u003cbr\u003e\u003cb\u003eISBN:\u003c\/b\u003e 9780486635194\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 254\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.50lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 8.22h x 5.62w x 0.50d","brand":"G. E. Shilov, B. L. Gurevich, Mathematics","offers":[{"title":"Default Title","offer_id":36637888905372,"sku":"9780486635194","price":12.71,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0473\/0804\/6492\/products\/img_6dbe2f76-20b0-4071-9f34-6bb52563785f.jpg?v=1603845933","url":"https:\/\/pastforward.org\/products\/integral-measure-and-derivative-a-unified-approach-9780486635194","provider":"Past Forward","version":"1.0","type":"link"}