Measure and Integral 在線電子書 圖書標籤: 數學 實分析 積分 測度 實分析7 the_magic_whip math Mathematics
發表於2024-12-25
Measure and Integral 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024
master-level real analysis. too easy for PhD students. not recommended, though I did all the problems..
評分這就是課本,真囧
評分這就是課本,真囧
評分master-level real analysis. too easy for PhD students. not recommended, though I did all the problems..
評分這就是課本,真囧
This 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. Closely 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. "Measure 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.
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Measure and Integral 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024