Step 2 of pocket e-books

J. Keisler section 1.5 of basic calculus
In an infinitely small, finite, super real, and infinite (see the latest upload version), figure 1.5.1 describes an intuitive hyper-real image, as shown below:

Accordingly, J. Keisler provides the following definitions:

Definition

A hyperrdal number B is said to be:

Finite if B is between two real number.

Positive infinite if B is greater than every real number.

Negative infinite if B is less than every real number.

The figure shows that in the microscope field of view, there is no real number near the hyper-solid line origin, as if a blank line segment, all of which are infinitely small. This is an amazing thing. This is an infinitely small calculus's "sign Chart" and its "Statement book ".

In May June 30, our external liaison officer, Ms. Zhang Xiaofeng, will contact J. professor Keisler sent an email informing him that this hyper-reality line will be recommended to 6.84 million Chinese college students at the start of the new semester in March, asking for his opinion. We are confident that Professor J. Keisler will be able to understand the subtle meanings and give a friendly smile. This is the second step in the pocket e-book plan.

Some people say that this middle school student can understand it. We fully agree with this view. Our responsibility is to explain the truth. We are confident to do this. The show is still behind. Please watch it with patience.