In 1902, modern function theory began when Henri Lebesgue described a new "integral calculus." His "Lebesgue integral" handles more functions than the tradition

This book presents a compact and self-contained introduction to the theory of measure and integration. The introduction into this theory is as necessary (becaus

While mathematics students generally meet the Riemann integral early in their undergraduate studies, those whose interests lie more in the direction of applied

Elementary Introduction to the Lebesgue Integral is not just an excellent primer of the Lebesgue integral for undergraduate students but a valuable tool for tom

The Lebesgue integral is now standard for both applications and advanced mathematics. This books starts with a review of the familiar calculus integral and then