Unit I Lec 4 MIT Calculus Revisited Single Variable Calculus
GUEST SPEAKER: The following content is provided under a Creative Commons license. Your support will help MIT OpenCourseWare continue to offer high quality educational resources for free. To make a donation, or view additional materials from hundreds of MIT courses, visit MIT OpenCourseWare at ocw.mit.edu. HERBERT GROSS: Hi. Our lecture today involves the backbone of Calculus, namely the concept of limit, and perhaps no place in the history of mathematics is there a more subtle topic than this particular one. I'm reminded of the anecdote of the professor who was staring quite intently, philosophically, in his home, and his wife asked, what are you contemplating, and he said, that it's amazing how electricity works. And the wife said, well what's so amazing about that? All you have to do is flick the switch. And this somehow or other is exactly the predicament that the limit concept falls into. From the point of view of computation, it seems that what comes nat...