"All the modern higher mathematics is based on a calculus of operations, on laws of thought. All mathematics, from the…"

"The precision of statement and the facility of application which the rules of the calculus early afforded were in a m…"

"The most influential mathematics textbook of ancient times is easily named, for the Elements of Euclid has set the pa…"

"We think only through the medium of words.—Languages are true analytical methods.—Algebra, which is adapted to its pu…"

"As regards algebra, the early Arabs failed to adopt either the Diophantine or the Hindu notations. An examination of …"

"Admitting the Hindu and Alexandrian authors [such as Diophantus], to be nearly equally ancient, it must be conceded i…"

"al-Khwārizmī “not having taken algebra from the Greeks,. . . must have either invented it himself, or taken it from t…"

"My specific... object has been to contain, within the prescribed limits, the whole of the student's course, from the …"

"The following Treatise... has been endeavoured to make the theory of limits, or ultimate ratios... the sole foundatio…"

"I have decided first to consider the majority of the authors who up to now have written about [algebra], so that I ca…"