Bøger af Frank Burk

The derivative and the integral are the fundamental notions of calculus. Though there is essentially only one derivative, there is a variety of integrals, developed over the years for a variety of purposes, and this book describes them. No other single source treats all of the integrals of Cauchy, Riemann, Riemann-Stieltjes, Lebesgue, Lebesgue-Steiltjes, Henstock-Kurzweil, Weiner, and Feynman.

A text on the fundamentals of Lebesgue measure and integration. It gives the reader an understanding of Lebesgue measure and integration. It focuses on fundamental concepts, namely Lebesgue measure for R and Lebesgue integration for extended real-valued functions on R.