×


 x 

Shopping cart
Leonard F. Richardson - Measure and Integration - 9780470259542 - V9780470259542
Stock image for illustration purposes only - book cover, edition or condition may vary.

Measure and Integration

€ 130.94
FREE Delivery in Ireland
Description for Measure and Integration Hardcover. A uniquely accessible book 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. Num Pages: 238 pages, Illustrations. BIC Classification: PBKB. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 244 x 165 x 17. Weight in Grams: 480.
A uniquely accessible book 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 ... Read more

  • Measure spaces, outer measures, and extension theorems

  • Lebesgue measure on the line and in Euclidean space
  • Measurable functions, Egoroff's theorem, and Lusin's theorem
  • Convergence theorems for integrals
  • Product measures and Fubini's 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

The book's 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.

Show Less

Product Details

Format
Hardback
Publication date
2009
Publisher
John Wiley and Sons Ltd United Kingdom
Number of pages
238
Condition
New
Number of Pages
256
Place of Publication
New York, United States
ISBN
9780470259542
SKU
V9780470259542
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-50

About Leonard F. Richardson
Leonard F. Richardson, PhD, is Herbert Huey McElveen Professor and Director of Graduate Studies in Mathematics at Louisiana State University, where he is also Assistant Chair of the Department of Mathematics. Dr. Richardson's research interests include harmonic analysis, homogeneous spaces, and representation theory. He is the author of Advanced Calculus: An Introduction to Linear Analysis, also published by Wiley.

Reviews for Measure and Integration
"The book is well thought out, organized and written. It has all the results in measure theory that are necessary for both pure and applied mathematics research." (Mathematical Reviews, 2011)

Goodreads reviews for Measure and Integration


Subscribe to our newsletter

News on special offers, signed editions & more!