Publisher's Synopsis
A course dealing with the fundamental theorems of infinitesimal calculus in a rigorousmanner is now recognized as an essential part of the training of a mathematician. Itappears in the curriculum of nearly every university, and is taken by students as "AdvancedCalculus" in their last collegiate year, or as part of "Theory of Functions" in the firstyear of graduate work. This little volume is designed as a convenient reference book forsuch courses; the examples which may be considered necessary being supplied from othersources. The book may also be used as a basis for a rather short theoretical course on realfunctions, such as is now given from time to time in some of our universities.
