| 书目名称 | Real Analysis: Measures, Integrals and Applications | | 编辑 | Boris Makarov,Anatolii Podkorytov | | 视频video | | | 概述 | A detailed account of measure and integration theory.Contains over 600 examples.Covers several topics and applications of integration theory that are rarely studied in literature | | 丛书名称 | Universitext | | 图书封面 |  | | 描述 | .Real Analysis: Measures, Integrals and Applications .is devoted to the basics of integration theory and its related topics. The main emphasis is made on the properties of the Lebesgue integral and various applications both classical and those rarely covered in literature.. .This book provides a detailed introduction to Lebesgue measure and integration as well as the classical results concerning integrals of multivariable functions. It examines the concept of the Hausdorff measure, the properties of the area on smooth and Lipschitz surfaces, the divergence formula, and Laplace‘s method for finding the asymptotic behavior of integrals. The general theory is then applied to harmonic analysis, geometry, and topology. Preliminaries are provided on probability theory, including the study of the Rademacher functions as a sequence of independent random variables.. .The book contains more than 600 examples and exercises. The reader who has mastered the first third of the book will be able to study other areas of mathematics that use integration, such as probability theory, statistics, functional analysis, partial probability theory, statistics, functional analysis, partial differential equ | | 出版日期 | Textbook 2013 | | 关键词 | Fourier Analysis; Geometry; Measure and Integration; Real Functions | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4471-5122-7 | | isbn_softcover | 978-1-4471-5121-0 | | isbn_ebook | 978-1-4471-5122-7Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer-Verlag London Ltd., part of Springer Nature 2013 |
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发表于 2025-3-21 19:41:24
