Ebook: A Course of Mathematical Analysis, Volume I

The translation of this Course was undertaken at the suggestion
of Professor W. F. Osgood, whose review of the original appeared
in the July number of the Bulletin of the American Mathematical
Society in 1903. The lack of standard texts on mathematical subjects
in the English language is too well known to require insistence.
I earnestly hope that this book will help to fill the need so generally
felt throughout the American mathematical world. It may be used
conveniently in our system of instruction as a text for a second course
in calculus, and as a book of reference it will be found valuable to
an American student throughout his work.

Few alterations have been made from the French text. Slight
changes of notation have been introduced occasionally for convenience, and several changes and .additions have been made at the suggestion of Professor Goursat, who has very kindly interested himself
in the work of translation. To him is due all the additional matter
not to be found in the French text, except the footnotes which are
signed, and even these, though not of his initiative, were always
edited by him. I take this opportunity to express my gratitude to
the author for the permission to translate the work and for the
sympathetic attitude which he has consistently assumed. I am also
indebted to Professor Osgood for counsel as the work progressed
and for aid in doubtful matters pertaining to the translation.

The publishers, Messrs. Ginn & Company, have spared no pains to
make the typography excellent. Their spirit has been far from commercial in the whole enterprise, and it is their hope, as it is mine,
that the publication of this book will contribute to the advance of
mathematics in America.

E R HENDRICK