Release the Internet infinitely small, and lay a foundation for calculus with super real numbers

 

A review of history, more than three hundred years ago, Newton and laveniz created calculus with an intuitive concept of Infinitely small. By the middle of the 19th century, the (ε, Delta) Extreme theory emerged, and mathematicians abandoned the infinitely small because they could not find a correct way to deal with the infinitely small. In June 4, 2011, J. Keisler said: "Since
Then generations of students have been taught that infinitesimals do not exist and shocould be avoided. "Since then, several generations of college students have been taught (brainstormed) and said:" infinitesimals
Do not exist and shocould be avoided. "(infinitely small does not exist. Avoid them as much as possible .)

In October June 18, in China, the infinitely small Internet release plan was officially launched. We have no campus, no classrooms, and no millions of teachers. What can we rely on to "Shake" the mountains of traditional power? We rely on the "Lever" of the Internet to use this "Lever" to shake the mountains. The Internet is an amplifier. In fact, the executor of the 6.18 release infinite small plan currently only has two little girls, one is a transcription Clerk (Shenzhen) and the other is an external contact (Beijing, who is responsible for connecting with J. keep in touch with Keisler ). Of course, there are still several non-name entrepreneurs behind the plan.

In June 4, 2011, J. Keisler wrote a tutorial book titled foundations for the electronic textbook basic calculus.
Of infinitesimal calculus, which is used by instructors. This tutorial has a high level of mathematical theory and can be used as a reference book for graduate students. This book uses super real numbers to lay the theoretical foundation of calculus and has high academic value.

In March, the new school year is about to begin. Tens of millions of college freshmen began to accept the ideological indoctrination: "infinitesimals
Do not exist and shoshould be avoided. "At this point, we will release an infinitely small number of new students on the Internet, so that they can find the infinitely small (pocket e-books) that we release by clicking the search engine ), it makes infinitely small full of the entire Internet, almost everywhere. We can do this, and we must do it!

We are confident that, as long as we do everything we need to do, we are not afraid of being tedious or hard-working. Victory will surely belong to us!

Note: The 6.18 infinitely small release Internet plan is an integral part of China's Calculus Teaching Reform.