Differential and Integral Calculus

Excerpts

Differential and Integral Calculus
Differential and Integral Calculus, or, as it was formerly called in this country [England], the Doctrine of Fluxions, has always been supposed to present remarkable obstacles to the beginner.
Differential and Integral Calculus
The Differential and Integral Calculus, or, as it was formerly called in this country [England], the Doctrine of Fluxions, has always been supposed to present remarkable obstacles to the beginner.
Differential and Integral Calculus
It is matter of common observation, that any one who commences this study, even with the best elementary works, finds himself in the dark as to the real meaning of the processes which he learns, until, at a certain stage of his progress, depending upon his capacity, some accidental combination of his own ideas throws light upon the subject.
Differential and Integral Calculus
The reason of this may be, that it is usual to introduce him at the same time to new principles, processes, and symbols, thus preventing his attention from being exclusively directed to one new thing at a time.
Differential and Integral Calculus
We would not, nevertheless, that the student should imagine we can remove all obstacles; we must introduce notions, the consideration of which has not hitherto occupied his mind; and shall therefore consider our object as gained, if we can succeed in so placing the subject before him, that two independent difficulties shall never occupy his mind at once.

No exercises in this chapter.