Measure and Integral

Measure and Integral pdf epub mobi txt 電子書 下載2025

出版者:CRC Press
作者:Richard Wheeden
出品人:
頁數:288
译者:
出版時間:1977-11-01
價格:USD 73.95
裝幀:Hardcover
isbn號碼:9780824764999
叢書系列:
圖書標籤:
  • 數學 
  • 實分析 
  • 積分 
  • 測度 
  • 實分析7 
  • the_magic_whip 
  • math 
  • Mathematics 
  •  
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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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碩士時隔壁math的phd實分析教材,據說齣自Zygmund的講義。非數學齣身,覺得也不算太難。課上大部分math phd都不會來。可能對數學係的phd有些簡單瞭。

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這就是課本,真囧

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這就是課本,真囧

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這就是課本,真囧

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這就是課本,真囧

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