Title
Measure And Integral: An Introduction To Real Analysis (Chapman & Hall/Crc Pure And Applied Mathematics),New
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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 Ndimensional 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 Riemannstieltjes Integral, Fubinis Theorem, L(P)) Classes, And Various Results About Differentiation Are Examined In Detail. Several Applications Of The Theory To A Specific Branch Of Analysisharmonic Analysisare Also Provided. Among These Applications Are Basic Facts About Convolution Operators And Fourier Series, Including Results For The Conjugate Function And The Hardylittlewood 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 Firstyear Graduate Student In These Areas.
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- Q: What is the primary focus of 'Measure and Integral: An Introduction to Real Analysis'? A: The book primarily focuses on developing the classical theory of the Lebesgue integral and its applications, providing a thorough study of outer measure and measure in n-dimensional Euclidean space.
- Q: Who is the author of this textbook? A: The textbook is authored by Richard Wheeden.
- Q: What topics are covered in this book related to real analysis? A: The book covers topics such as functions of bounded variation, the Riemann-Stieltjes integral, Fubini's theorem, L(p) classes, differentiation results, and applications in harmonic analysis.
- Q: Is this book suitable for beginners in mathematics? A: While the book requires a basic familiarity with advanced calculus, it is designed as a textbook for advanced undergraduate or first-year graduate students in mathematics, statistics, or probability.
- Q: What is the binding type of this book? A: The book is available in hardcover binding.
- Q: How many pages does the book contain? A: The book contains a total of 288 pages.
- Q: When was 'Measure and Integral: An Introduction to Real Analysis' published? A: The book was published on November 1, 1977.
- Q: What condition is this book in? A: The book is listed in 'Good' condition.
- Q: What edition of the book is available? A: This is the first edition of the book.
- Q: Are there any practical applications discussed in the book? A: Yes, the book includes several applications of the Lebesgue integral theory to harmonic analysis, including convolution operators and Fourier series.