A Course In Mathematical Analysis: Volume 1

by Édouard Goursat, Earle Raymond Hedrick (Translation)

Since mathematical analysis is essentially the science of the continuum, it would seem that every course in analysis should begin, logically, with the study of irrational numbers. I have supposed, however, that the student is already familiar with that subject. The theory of incommensurable numbers is treated in so many excellent well-known works f that I have thought it useless to enter upon such a discussion. As for the other fundamental notions which lie at the basis of analysis, such as the upper limit, the definite integral, the double integral, etc., I have endeavored to treat them with all desirable rigor, seeking to retain the elementary character of the work, and to avoid generalizations which would be superfluous in a book intended for purposes of instruction.

560 pages, Paperback

First published January 1, 2006

About the author

Édouard Jean-Baptiste Goursat was a French mathematician