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.In each chapter the more abstract subjects and those which can be omitted on a firstreading are placed in the concluding sections. The last chapter of the book is more advancedin character than the other chapters and is intended as an introduction to the study of aspecial subject. The index at the end of the book contains references to the pages wheretechnical terms are first defined.
