{"product_id":"measure-and-integral-an-introduction-to-real-analysis-second-edition-paperback","title":"Measure and Integral: An Introduction to Real Analysis, Second Edition - 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\u003eRichard Wheeden\u003c\/b\u003e (Author), \u003cb\u003eRichard L. Wheeden\u003c\/b\u003e (Author), \u003cb\u003eAntoni Zygmund\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eNow considered a classic text on the topic, \u003cb\u003e Measure and Integral: An Introduction to Real Analysis\u003c\/b\u003e provides an introduction to real analysis by first developing the theory of measure and integration in the simple setting of Euclidean space, and then presenting a more general treatment based on abstract notions characterized by axioms and with less geometric content.\u003c\/p\u003e\u003cp\u003ePublished nearly forty years after the first edition, this long-awaited \u003cb\u003eSecond Edition \u003c\/b\u003ealso: \u003c\/p\u003e\u003cul\u003e \u003cli\u003eStudies the Fourier transform of functions in the spaces \u003ci\u003eL1\u003c\/i\u003e, \u003ci\u003eL2\u003c\/i\u003e, and \u003ci\u003eLp\u003c\/i\u003e, 1 p \u003c\/li\u003e\n\u003cli\u003eShows the Hilbert transform to be a bounded operator on \u003ci\u003eL2\u003c\/i\u003e, as an application of the \u003ci\u003eL2\u003c\/i\u003e theory of the Fourier transform in the one-dimensional case\u003c\/li\u003e \u003cli\u003eCovers fractional integration and some topics related to mean oscillation properties of functions, such as the classes of Hölder continuous functions and the space of functions of bounded mean oscillation\u003c\/li\u003e \u003cli\u003eDerives a subrepresentation formula, which in higher dimensions plays a role roughly similar to the one played by the fundamental theorem of calculus in one dimension\u003c\/li\u003e \u003cli\u003eExtends the subrepresentation formula derived for smooth functions to functions with a weak gradient\u003c\/li\u003e \u003cli\u003eApplies the norm estimates derived for fractional integral operators to obtain local and global first-order Poincaré-Sobolev inequalities, including endpoint cases\u003c\/li\u003e \u003cli\u003eProves the existence of a tangent plane to the graph of a Lipschitz function of several variables\u003c\/li\u003e \u003cli\u003eIncludes many new exercises not present in the first edition\u003c\/li\u003e \u003c\/ul\u003e\u003cp\u003eThis widely used and highly respected text for upper-division undergraduate and first-year graduate students of mathematics, statistics, probability, or engineering is revised for a new generation of students and instructors. The book also serves as a handy reference for professional mathematicians.\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eRichard L. Wheeden\u003c\/strong\u003e is Distinguished Professor of Mathematics at Rutgers University, New Brunswick, New Jersey, USA. His primary research interests lie in the fields of classical harmonic analysis and partial differential equations, and he is the author or coauthor of more than 100 research articles. After earning his Ph.D. from the University of Chicago, Illinois, USA (1965), he held an instructorship there (1965-1966) and a National Science Foundation (NSF) Postdoctoral Fellowship at the Institute for Advanced Study, Princeton, New Jersey, USA (1966-1967).\u003c\/p\u003e\u003cp\u003eAntoni Zygmund was Professor of Mathematics at the University of Chicago, Illinois, USA. He was earlier a professor at Mount Holyoke College, South Hadley, Massachusetts, USA, and the University of Pennsylvania, Philadelphia, USA. His years at the University of Chicago began in 1947, and in 1964, he was appointed Gustavus F. and Ann M. Swift Distinguished Service Professor there. He published extensively in many branches of analysis, including Fourier series, singular integrals, and differential equations. He is the author of the classical treatise \u003ci\u003eTrigonometric Series\u003c\/i\u003e and a coauthor (with S. Saks) of \u003ci\u003eAnalytic Functions\u003c\/i\u003e. He was elected to the National Academy of Sciences in Washington, District of Columbia, USA (1961), as well as to a number of foreign academies.\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 532\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1.08 x 9.21 x 6.14 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e October 14, 2024\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":45918328782950,"sku":"9781032918938","price":138.39,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0599\/7255\/0758\/files\/joczuqxNlq9781032918938.webp?v=1783590392","url":"https:\/\/infinitylightwa.com\/products\/measure-and-integral-an-introduction-to-real-analysis-second-edition-paperback","provider":"Infinity Light","version":"1.0","type":"link"}