Integral, Measure and Derivative: A Unified Approach (Dover Books on Mathematics) [Paperback]

G. E. Shilov (Author), B. L. Gurevich (Author)

Book Description

Series: Dover Books on Mathematics | Publication Date: May 17, 2012

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.

Editorial Reviews

Language Notes

Text: English, Russian (translation)

Product Details

• Paperback: 256 pages
• Publisher: Dover Publications (May 17, 2012)
• Language: English
• ISBN-10: 0486635198
• ISBN-13: 978-0486635194
• Product Dimensions: 8.2 x 5.6 x 0.6 inches
• Shipping Weight: 9.6 ounces (View shipping rates and policies)
• Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
• Amazon Best Sellers Rank: #1,340,305 in Books (See Top 100 in Books)

Customer Reviews

Most Helpful Customer Reviews

2 of 2 people found the following review helpful:

5.0 out of 5 stars simply the best book on Lebesgue integration and more!, August 26, 2009

By 

Neo (The Matrix) - See all my reviews

This review is from: Integral, Measure and Derivative: A Unified Approach (Dover Books on Mathematics) (Paperback)

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.