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Titlebook: Real Analysis: Measures, Integrals and Applications; Boris Makarov,Anatolii Podkorytov Textbook 2013 Springer-Verlag London Ltd., part of

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書目名稱Real Analysis: Measures, Integrals and Applications
編輯Boris Makarov,Anatolii Podkorytov
視頻videohttp://file.papertrans.cn/823/822134/822134.mp4
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
叢書名稱Universitext
圖書封面Titlebook: Real Analysis: Measures, Integrals and Applications;  Boris Makarov,Anatolii Podkorytov Textbook 2013 Springer-Verlag London Ltd., part of
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
關(guān)鍵詞Fourier Analysis; Geometry; Measure and Integration; Real Functions
版次1
doihttps://doi.org/10.1007/978-1-4471-5122-7
isbn_softcover978-1-4471-5121-0
isbn_ebook978-1-4471-5122-7Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer-Verlag London Ltd., part of Springer Nature 2013
The information of publication is updating

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Integrals Dependent on a Parameter,cludes the results related to the method of stationary phase, which plays an important role in the study of wave processes..Systematic use and in-depth exploration of convolution as an important means of smoothing and approximation of functions is characteristic to the book. The last two Sects.?. an
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Fourier Series and the Fourier Transform,rigonometric series for functions of one variable cannot be carried over to Fourier series of functions of several variables. The rest of Sect.?. is devoted to multiple Fourier series. Along with the counterparts of certain statements in the one-dimensional case, we discuss some facts (failure of th
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Textbook 201300 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
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