This book offers both a theoretical and practical introduction to Differential Calculus of several real variables, tailored for students embarking on their first semester of study in the subject.

The Stieltjes derivative is a modification of the usual derivative through a nondecreasing and left-continuous map. This change in the definition allows us to study several differential problems under ...

If today's college students could find a way to get their hands on a copy of Facebook's latest neural network, they could cheat all the way through Calc 3. They could even solve the differential ...

NEARLY five years have passed since we noticed a small pamphlet by the authors of (ii.), together with treatises on the calculus of Messrs. Buckingham (Chicago) and Clark (Cincinnati), and we then ...

A satellite is dropping back to Earth. The distance it has fallen, \(D\) metres, since first spotted is given by \(D(t) = 100t + 5{t^2}\), where \(t\) is the length of time in seconds since first ...

THE introduction of the Calculus at an early stage in a course of elementary mathematics has rendered necessary the substitution of simplified methods of treatment for those occurring in the earlier ...