Integral, Measure and Derivative: A Unified Approach

by B.L. Gurevich and Georgi E. Shilov

Book Overview

Starting with the useful concept of an elementary integral defined (axiomatically) on a family of elementary functions, this treatment examines the general theory of the integral, Lebesque integral in n space, the Riemann-Stieltjes integral, and more. "The exposition is fresh and sophisticated, and will engage the interest of accomplished mathematicians." - Sci-Tech Book News. 1966 edition.

• Format: Paperback
• Language: English
• ISBN: 0486635198
• ISBN13: 9780486635194
• Release Date: May 2012
• Publisher: Dover Publications
• Length: 254 Pages
• Weight: 0.65 lbs.
• Dimensions: 0.5" x 5.6" x 8.2"

Customer Reviews

simply the best book on Lebesgue integration and more!

The traditional approach to define Lebesgue integration is long and boring, in my opinion. This book is rather unique in its approach to introduce the Lebesgue integration using the Daniell integral, see [...] . This makes it short, concise, and very easy. If you want to learn and understand both Riemann and Lebesgue integrals in a week, just read this book. One more week reading it, and you now know the Riemann-Stieltjes and Lebesgue-Stieltjes integration as well, no extra charge! Hopefully, Dover prints more copies of it, as it gets hard to find even used.