Measure and Integral: An Introduction to Real Analysis (Chapman & Hall/CRC Pure and Applied Mathematics)
| Author | : | |
| Rating | : | 4.70 (691 Votes) |
| Asin | : | 0824764994 |
| Format Type | : | paperback |
| Number of Pages | : | 288 Pages |
| Publish Date | : | 2017-12-23 |
| Language | : | English |
DESCRIPTION:
This volume develops the classical theory of the Lebesgue integral and some of its applications. 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. 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. Several applications of the theory to a specific branch of ana
"A (quasi) masterpiece" according to Dr. Prof. RG. A (quasi) masterpiece Dr. Prof. RG 4 stars, which actually means 4.5. I don't rate it the maximum, because I think it lacks a couple of things to be perfect.The pros:1. the theory is built from the very ground up to the "ante-room", so to speak, of further and more advanced developments in abstract measure theory and functional analysis, in a deeply logical and clear way with the highest economy of words and of thought. From this viewpoint, for examp. stars, which actually means A (quasi) masterpiece Dr. Prof. RG 4 stars, which actually means 4.5. I don't rate it the maximum, because I think it lacks a couple of things to be perfect.The pros:1. the theory is built from the very ground up to the "ante-room", so to speak, of further and more advanced developments in abstract measure theory and functional analysis, in a deeply logical and clear way with the highest economy of words and of thought. From this viewpoint, for examp. .5. I don't rate it the maximum, because I think it lacks a couple of things to be perfect.The pros:1. the theory is built from the very ground up to the "ante-room", so to speak, of further and more advanced developments in abstract measure theory and functional analysis, in a deeply logical and clear way with the highest economy of words and of thought. From this viewpoint, for examp. An excellent choice Alexis Humphreys This is the book we used when I was a grad student. This is indeed quite a nicely written book: logical progression of concepts, a large number of exercises of varying difficulty (hard ones have hints) and no typos (always a big plus with me). All the classical results are included. My only suggestions to make this book better would be to have some longer discussions of the concepts introduced to break the litany of. "One of the best real analysis books" according to Chong Luo. For the past two semesters, our professor used this book as textbook. I didn't buy this book during that time. But when I was preparing for the final exam, I borrowed the book from library, and found it was really well-written. Basic materials are well organized and explained. Some profound and important topics are also covered, like Hardy-Littlewood max function; these materials are also explained in a clear and ea
.well written and authoritative. ---ChoiceThe 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