Measure and Integral: An Introduction to Real Analysis (Chapman & Hall/CRC Pure and Applied Mathematics)
WHEEDEN, Richard L; ZYGMUND, Antoni
24 ratings by Goodreads
Language: English
Published by Marcel Dekker, New York, 1977
Series: Book 24 of 70 - Chapman & Hall/CRC Pure and Applied Mathematics
- First Edition
- Hardcover
- Used
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- Title
- Measure and Integral: An Introduction to Real Analysis (Chapman & Hall/CRC Pure and Applied Mathematics)
- Author
- WHEEDEN, Richard L; ZYGMUND, Antoni
- Publisher
- Marcel Dekker, New York
- Publication year
- 1977
- Condition
- Near fine
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0824764994
- ISBN 13
- 9780824764999
- Edition
- 1st Edition
- Printing
- 5th or later Printing
- Item weight
- 544 grams
- Dimensions
- 16 centimeters width by 24 centimeters height by 1.5 centimeters depth
- Series
- Book 24 of 70: Chapman & Hall/CRC Pure and Applied Mathematics
- Seller catalogs
- Shelf 14
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.
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.
"Synopsis" may belong to another edition of this title.
Review
. . .well written and authoritative.
---Choice
The style is characterized by its clarity and concreteness. . . . this work constitutes an excellent introductory textbook for those who wish to get acquainted with the modern methods of real variables.
---Mathematical Reviews
---Choice
The style is characterized by its clarity and concreteness. . . . this work constitutes an excellent introductory textbook for those who wish to get acquainted with the modern methods of real variables.
---Mathematical Reviews
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