Integration on compact intervals: Gauges and integrals Some examples Basic properties of the integral The fundamental theorems of calculus The Saks-Henstock lemma Measurable functions Absolute integrability Convergence theorems Integrability and mean convergence Measure, measurability, and multipliers Modes of convergence Applications to calculus Substitution theorems Absolute continuity Integration on infinite intervals: Introduction to Part 2 Infinite intervals Further re-examination Measurable sets Measurable functions Sequences of functions Limits superior and inferior Unbounded sets and sequences The arctangent lemma Outer measure Lebesgue's differentiation theorem Vector spaces Semimetric spaces Riemann-Stieltjes integral Normed linear spaces Some partial solutions References Index Symbol index.

Reviews

"A comprehensive, beautifully written exposition." Zentralblatt MATH

Fishpond works with suppliers all over the world to bring you a huge selection of products, really great prices, and delivery included on over 25 million products that we sell. We do our best every day to make Fishpond an awesome place for customers to shop and get what they want — all at the best prices online.

About Fishpond

You can earn a 8% commission by selling A Modern Theory of Integration (Graduate Studies in Mathematics) on your website. It's easy to get started - we will give you example code. After you're set-up, your website can earn you money while you work, play or even sleep! You should start right now!

Are you the Author or Publisher of a book? Or the manufacturer of one of the millions of products that we sell. You can improve sales and grow your revenue by submitting additional information on this title. The better the information we have about a product, the more we will sell!

Submit Information

Table of Contents

Reviews