It's the old cliche of hindsight being better than foresight by a darn sight, or some such thing.īut at any rate, without further ado, let's actually look at the introduction to calculus of several real variables from a traditional point of view. Except for the fact that after you have a couple of hundred years of hindsight and can take a subject apart from a different point of view, then obviously it's no great surprise that you can find cleaner ways of really presenting the topic. That in fact, if we define new mathematics as meaningful mathematics, there really was no difference between the two approaches. That the role of logic in good, traditional mathematics was about the same as it is in good, modern mathematics. There may be a little bit of danger in the way I've been emphasizing the modern approach to mathematics: that one may actually believe that the traditional approach to mathematics left very, very much to be desired. And as I mentioned in our last lecture, I would like to begin it from the traditional point of view.Īnd I guess I'd like to make a little bit of a short speech even before we begin. Today, we would like to begin our study of calculus of several real variables. ![]() To make a donation, or view additional materials from hundreds of MIT courses, visit MIT OpenCourseWare at. ![]() Your support will help MIT OpenCourseWare continue to offer high quality educational resources for free. The following content is provided under a Creative Commons license.
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