{"product_id":"measure-and-integration-paperback","title":"Measure and Integration - Paperback","description":"\u003cp\u003eby \u003cb\u003eSatish Shirali\u003c\/b\u003e (Author), \u003cb\u003eHarkrishan Lal Vasudeva\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e1 Preliminaries.- 2 Measure in Euclidean Space.- 3 Measure Spaces and Integration.- 4 Fourier Series.- 5 Differentiation.- 6 Lebesgue Spaces and Modes of Convergence.- 7 Product Measure and Completion.- 8 Hints.- References.- Index.\u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003eThis textbook provides a thorough introduction to measure and integration theory, fundamental topics of advanced mathematical analysis.\u003cbr\u003eProceeding at a leisurely, student-friendly pace, the authors begin by recalling elementary notions of real analysis before proceeding to measure theory and Lebesgue integration. Further chapters cover Fourier series, differentiation, modes of convergence, and product measures. Noteworthy topics discussed in the text include \u003cem\u003eL\u003csup\u003ep\u003c\/sup\u003e\u003c\/em\u003e spaces, the Radon-Nikodým Theorem, signed measures, the Riesz Representation Theorem, and the Tonelli and Fubini Theorems.\u003cbr\u003eThis textbook, based on extensive teaching experience, is written for senior undergraduate and beginning graduate students in mathematics. With each topic carefully motivated and hints to more than 300 exercises, it is the ideal companion for self-study or use alongside lecture courses.\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003cb\u003e​\u003c\/b\u003e\u003cb\u003eSatish Shirali\u003c\/b\u003e's research interest are in Banach *algebras, elliptic boundary value problems, fuzzy measures, and\u003ci\u003e \u003c\/i\u003e\u003cb\u003eHarkrishan Vasudeva\u003c\/b\u003e's interests are in functional analysis. This is their fourth joint textbook, having previous published \u003ci\u003eAn Introduction to Mathematical Analysis\u003c\/i\u003e (2014), \u003ci\u003eMultivariable Analysis\u003c\/i\u003e (2011) and \u003ci\u003eMetric Spaces\u003c\/i\u003e (2006). Shirali is also the author of the book \u003ci\u003eA Concise Introduction to Measure Theory\u003c\/i\u003e (2018), and Vasudeva is the author of \u003ci\u003eElements of Hilbert Spaces and Operator Theory\u003c\/i\u003e (2017) and co-author of \u003ci\u003eAn Introduction to Complex Analysis\u003c\/i\u003e (2005).\u003cbr\u003e\u003c\/p\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 598\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1.24 x 9.21 x 6.14 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e September 23, 2019\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":42105821528199,"sku":"9783030187460","price":61.54,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0601\/2623\/2711\/files\/a6d2849e5a2280119f1a725a22e06bcb.webp?v=1732438004","url":"https:\/\/booksby.splitshops.com\/products\/measure-and-integration-paperback","provider":"Books by splitShops","version":"1.0","type":"link"}