num_pages: 281
description: 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. The basic properties of each are proved their similarities and differences are pointed out and the reasons for their existence and their uses are given with plentiful historical information. The audience for the book is advanced undergraduate mathematics students graduate students and faculty members of which even the most experienced are unlikely to be aware of all of the integrals in the Garden of Integrals. Professor Burk's clear and well-motivated exposition makes this book a joy to read. There is no other book like it.
language: English
title: A Garden of Integrals
publisher: The Mathematical Association of America