Ebook Free Measure and Integral: An Introduction to Real Analysis (Chapman & Hall/CRC Pure and Applied Mathematics), by Richard Wheeden, Richard L. W
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Measure and Integral: An Introduction to Real Analysis (Chapman & Hall/CRC Pure and Applied Mathematics), by Richard Wheeden, Richard L. W
Ebook Free Measure and Integral: An Introduction to Real Analysis (Chapman & Hall/CRC Pure and Applied Mathematics), by Richard Wheeden, Richard L. W
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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 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.
- Sales Rank: #798217 in Books
- Published on: 1977-11-01
- Original language: English
- Number of items: 1
- Dimensions: .82" h x 6.24" w x 9.28" l, 1.16 pounds
- Binding: Hardcover
- 288 pages
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
Most helpful customer reviews
24 of 26 people found the following review helpful.
best book to learn measure theory from
By D. J. Albers
this is a great, clearly written book that excels as a book to learn analysis from. the book takes a ground up approach, starting with only the positive real line and generalizing from there. being presented in the most simple context where all the abstraction is stripped away, the essence of the arguments is laid bare and thus the proofs are as understandable as possible. then, once the arguments are made and the intuition is in place, the book proceeds to generalize the results to more abstract circumstances. thus making the motivation for using more powerful tools clear.
this style can be compared to that of rudin's classic book, which is largely a disaster to learn out of. for instance, rudin's book oscillates between C and R for whatever gives the most slick, but often least insightful proof. this is fine, and even enjoyable once you understand the subject, but is terrible to learn from for most people. there isn't a better book to learn measure theory and integration out of than this book
0 of 1 people found the following review helpful.
Five Stars
By Amalia Banuelos
Love it
1 of 4 people found the following review helpful.
Not the best book on the subject
By RT
The book in fact is well written. But in my opinion this is not the best book of the area. Kolmogorov, Fomin's book is better (Rudin's books as well). Lieb and Loss' book (Analysis) of AMS series is also better than this one.
The book is well organized but since it's a bit old book, the notations are kind of heavy.
BTW the quality of the material of the book is not the best. It starts to dived in parts just even after a week one uses it.
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