{"product_id":"integral-measure-and-derivative-a-unified-approach-paperback","title":"Integral, Measure and Derivative: A Unified Approach - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eG. E. Shilov\u003c\/b\u003e (Author), \u003cb\u003eB. L. Gurevich\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThis 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.\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003cbr\u003eGeorgi Evgen'evich Shilov (1917-75) was a Soviet mathematician and an expert in the field of functional analysis who contributed to the theory of normed rings and generalized functions\u003cb\u003e.\u003c\/b\u003e He is the author of five Dover books.\u003cbr\u003eB. L. Gurevich was a Soviet mathematician.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 254\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.5 x 8.22 x 5.62 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e May 17, 2012\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":45390261026918,"sku":"9780486635194","price":22.55,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0599\/7255\/0758\/files\/TWdtU2lqcW9FdDZLQjF1bjBacmVrZz09.webp?v=1775094632","url":"https:\/\/infinitylightwa.com\/products\/integral-measure-and-derivative-a-unified-approach-paperback","provider":"Infinity Light","version":"1.0","type":"link"}