Trad publishers are far better for this. How would you market and sell it yourself? How would you compete against vetted books by publishers if you are not a very famous name in the field already?
If your name is Einstein or Hawking then self publishing would make you more money. Charging less while still making more because you get a bigger slice ...
Usually "and" is indeed dispensable and the fact that you wrote it is a clue to check if it is. Using that sentence as an example, I can eliminate "and" with a semicolon, or a period.
Usually "and" is indeed dispensable; the fact that you wrote it is a clue to check if it is.
Usually "and" is indeed dispensable. The fact that you wrote it is a clue ...
If you think of yourself as reading a novel, rather than a scientific paper, it becomes very clear. If a novel started with 'In this novel, you will read..' you might find it awkward, or at least old-fashioned - I think there are Victorian novels which take this approach, but it is not the way of modern fiction. It removes the reader from being an active ...
There are reasons to repeat yourself, but they differ to what you imply.
Academic readers are usually skimming through hundreds of papers to find the results relevant to their current work, so
Try to tell them everything they need to know in the title
If that fails, try to tell them everything they need to know in the abstract, including results and ...
In this answer, I am going to explain to you why you shouldn't announce what you are about to write anyway.
It is boring and redundant and a waste of real estate on the page.
Start with a claim, or a key observation. Those can be interesting. Don't talk about your paper in your paper, get to your paper! A sentence saying "The goal of this work is XYZ." can ...
Within the figure description itself, just use (i), (ii), (iii), etc.or (A), (B), (C), (D) to save space.
In the text of your paper, refer to Figure 2(i), Figure 2(ii), or Figure 2(A), Figure 2(B).
As in (for figure description):
Figure 2: (A) reflex, (B) recoil
As in (for body text):
In Figure 2(A) we see the reflex action of the potential, while ...
Using the simple expression:
Figure 2(i) shows cycle C
is succinct and conveys the required meaning.
It is usually preferable to keep such references short and you will see many such examples in the literature.
The extraneous words used in your other suggestions add nothing to your intentions.