Real Analysis
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Book Overview Can the limitations of the Riemann integral be overcome? What is its relationship with modern analysis? The theory of Lebesgue integratio...
Can the limitations of the Riemann integral be overcome? What is its relationship with modern analysis?
The theory of Lebesgue integration is a crucial component in the development of modern analysis. This book is an in-depth real analysis textbook, which introduces the basic theory of modern analysis and the basic skills of analysis. Based on the knowledge of real analysis, the theory of interpolation of operators and the Fourier transform theory are further introduced systematically. The main contents include: abstract measures and integrals, measure and topology, Lebesgue integration on Rn, the interpolation of operators on Lp(Rn), Hardy-Littlewood maximal function, convolution and the Fourier transform. They play an important role in harmonic analysis, partial differential equations, probability and numerical analysis. This book is moderately difficult and detailed, focusing on the combination of abstract and concrete, and training readers to skillfully use modern analysis.
This textbook is an excellent reference book for readers studying the fields of Harmonic analysis and partial differential equations. It is intended for advanced undergraduate and graduate students in university mathematics, as well as mathematicians and physicists in general.
Book Details Format: Hardcover | Pages: 200 | Language: English | Publisher: WORLD SCIENTIFIC PUB CO INC | ISBN: 981129738X
FormatHardcover
Pages200
LanguageEnglish
ISBN981129738X
EAN9789811297380
PublisherWORLD SCIENTIFIC PUB CO INC
Publication Date2025-02-10
AccessoriesNo Accessory
ConditionNew
Product TypeHARD COVER BOOKS
Weight1.0 Pounds
Length9.0 Inches
Width6.0 Inches
Height0.5 Inches
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