THE author of this little book writes as if it were the first of its kind, and in encouraging his readers he continually jeers at the professional mathematician in whatmight be regarded as reckless ...

THIS little volume has been designed as a first course in the calculus for Indian students. The treatment is the outcome of years of experiment and observation and the method followed is, as the ...

In the Idea of Limits video, we introduce the idea of limits and discuss how it underpins all of the major concepts in calculus. In the Limit Laws video, we introduce the limit laws and discuss how to ...

We're going to start off by introducing derivatives - the "instantaneous rate of change of a function" or (more graphically) the "slope of a curve". We'll start off by looking at how to calculate the ...

In this section, we're going to take a step back to learn some of the basics of the math that powers the most popular machine learning models. You may not need deep knowledge of linear algebra and ...

This textbook offers a concise yet rigorous introduction to calculus of variations and optimal control theory, and is a self-contained resource for graduate students in engineering, applied ...

The calculus of variations is one of the oldest subjects in mathematics, and it is very much alive and still evolving. Besides its mathematical importance and its links to other branches of ...