Description: Measure and Integration : A Concise Introduction to Real Analysis, Hardcover by Richardson, Leonard F., ISBN 047025954X, ISBN-13 9780470259542, Brand New, Free shipping in the US A uniquely accessibl for general measure and integration, emphasizing the real line, Euclidean space, and the underlying role of translation in real analysis
Measure and Integration: A Concise Introduction to Real Analysis presents the basic concepts and methods that are important for successfully reading and understanding proofs. Blending coverage of both fundamental and specialized topics, this book serves as a practical and thorough introduction to measure and integration, while also facilitating a basic understanding of real analysis.
The author develops the theory of measure and integration on abstract measure spaces with an emphasis of the real line and Euclidean space. Additional topical coverage includes:
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Measure spaces, outer measures, and extension theorems
- Lebesgue measure on the line and in Euclidean space
- Measurable functions, Egoroffs theorem, and Lusins theorem
- Convergence theorems for integrals
- Product measures and Fubinis theorem
- Differentiation theorems for functions of real variables
- Decomposition theorems for signed measures
- Absolute continuity and the Radon-Nikodym theorem
- Lp spaces, continuous-function spaces, and duality theorems
- Translation-invariant subspaces of L2 and applications
Ths presentation lays the foundation for further study of functional analysis, harmonic analysis, and probability, and its treatment of real analysis highlights the fundamental role of translations. Each theorem is accompanied by opportunities to employ the concept, as numerous exercises explore applications including convolutions, Fourier transforms, and differentiation across the integral sign.
Providing an efficient and readable treatment of this classical subject, Measure and Integration: A Concise Introduction to Real Analysis is a useful book for courses in real analysis at the graduate level. It is also a valuable reference for practitioners in the mathematical sciences.
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Book Title: Measure and Integration : A Concise Introduction to Real Analysis
Number of Pages: 256 Pages
Publication Name: Measure and Integration : a Concise Introduction to Real Analysis
Language: English
Publisher: Wiley & Sons, Incorporated, John
Publication Year: 2009
Subject: Algebra / General, Mathematical Analysis
Item Height: 0.7 in
Type: Textbook
Item Weight: 16.7 Oz
Subject Area: Mathematics
Item Length: 9.6 in
Author: Leonard F. Richardson
Item Width: 6.4 in
Format: Hardcover