{"product_id":"the-elements-of-integration-and-lebesgue-measure-paperback-softback-9780471042228","title":"The Elements of Integration and Lebesgue Measure (Paperback \/ softback) 9780471042228","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eThe Elements of Integration and Lebesgue Measure\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eRobert G. Bartle (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780471042228, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 4 May 1995\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e192 pages\u003cbr\u003e23.1 x 15.3 x 1 cm, 0.27 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eConsists of two separate but closely related parts. Originally published in 1966, the first section deals with elements of integration and has been updated and corrected. The latter half details the main concepts of Lebesgue measure and uses the abstract measure space approach of the Lebesgue integral because it strikes directly at the most important results—the convergence theorems.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eTHE ELEMENTS OF INTEGRATION.\u003cbr\u003e \u003cbr\u003e Measurable Functions.\u003cbr\u003e \u003cbr\u003e Measures.\u003cbr\u003e \u003cbr\u003e The Integral.\u003cbr\u003e \u003cbr\u003e Integrable Functions.\u003cbr\u003e \u003cbr\u003e The Lebesgue Spaces Lp.\u003cbr\u003e \u003cbr\u003e Modes of Convergence.\u003cbr\u003e \u003cbr\u003e Decomposition of Measures.\u003cbr\u003e \u003cbr\u003e Generation of Measures.\u003cbr\u003e \u003cbr\u003e Product Measures.\u003cbr\u003e \u003cbr\u003e THE ELEMENTS OF LEBESGUE MEASURE.\u003cbr\u003e \u003cbr\u003e Volumes of Cells and Intervals.\u003cbr\u003e \u003cbr\u003e The Outer Measure.\u003cbr\u003e \u003cbr\u003e Measurable Sets.\u003cbr\u003e \u003cbr\u003e Examples of Measurable Sets.\u003cbr\u003e \u003cbr\u003e Approximation of Measurable Sets.\u003cbr\u003e \u003cbr\u003e Additivity and Nonadditivity.\u003cbr\u003e \u003cbr\u003e Nonmeasurable and Non-Borel Sets.\u003cbr\u003e \u003cbr\u003e References.\u003cbr\u003e \u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley-Interscience","offers":[{"title":"Brand New","offer_id":52509172138264,"sku":"9780471042228","price":102.98,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9780471042228.jpg?v=1786495699","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/the-elements-of-integration-and-lebesgue-measure-paperback-softback-9780471042228","provider":"Freshly Printed Books","version":"1.0","type":"link"}