{"product_id":"9780824764999","title":"Measure and Integral: An Introduction to Real Analysis","description":"\u003cp\u003eThis volume develops the classical theory of the Lebesgue integral and some of its applications. The integral is initially presented in the context of n-dimensional Euclidean space, following a thorough study of the concepts of outer measure and measure. A more general treatment of the integral, based on an axiomatic approach, is later given.\u003c\/p\u003e\u003cp\u003eClosely related topics in real variables, such as functions of bounded variation, the Riemann-Stieltjes integral, Fubini's theorem, L(p)) classes, and various results about differentiation are examined in detail. Several applications of the theory to a specific branch of analysis—harmonic analysis—are also provided. Among these applications are basic facts about convolution operators and Fourier series, including results for the conjugate function and the Hardy-Littlewood maximal function.\u003c\/p\u003e\u003cp\u003eMeasure and Integral: An Introduction to Real Analysis provides an introduction to real analysis for student interested in mathematics, statistics, or probability. Requiring only a basic familiarity with advanced calculus, this volume is an excellent textbook for advanced undergraduate or first-year graduate student in these areas.\u003c\/p\u003e","brand":"Taylor \u0026 Francis","offers":[{"title":"Default Title","offer_id":47031784505584,"sku":"9780824764999","price":94.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9780824764999_p0.jpg?v=1763752006","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9780824764999","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}