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Why making Mathematics complicated if they could be simpler?

As Transverse Mathematics is a relatively unusual approach, it should reveal new simple unexplored Mathematics topics quicker.

But where to start Transverse Mathematics as by definition, it can cover any topics?

- A first step is to develop Mathematics diagnostic skills.
- The purpose being both to detect mistakes, inaccuracies, inconsistencies and Mathematics built on top of these because of the silo effect which the Transverse Mathematics should help to untangle.

- Then join the dots.

What are Transverse Mathematics main expected outcomes?

- the truth: quarrels in mathematics can be a great source of knowledge, because if there is a quarrel between the best Mathematicians of their time, may be both sides have something right you can learn from. Trying to mitigate a quarrel for the sake of reenforcing Mathematics as a trusted science in every part of it but not only on analysis, linear algebra, geometry, probabilities….
- keep it simple with computing-friendly natural integers helping to find practical applications
- make Mathematics an easier tool to learn for students

How to develop Diagnostic Mathematics skills:

- In case there is a contradiction in a theorem or counter-intuitive impacts
- Try to identify parts of a statement hard to understand or to believe
- Detect an error in the proof, missing concept or inaccurate assumptions
- Detect a misleading conclusion
- Start your LaTeX 2e book from the first diagnostics

- Start to think how to make things simpler:
- Write the mathematics model and tools that will help to reveal the problem with tools for high school or undergraduate students whenever possible
- Find interesting unknown theorems from your new tools, to increase your chances of influencing your peers and turn them into allies

- In case there is something you need, but does not seem to exist yet:
- Just in case, double check as you can everywhere (books, web sites, Wikipedia or Youtube) to find out the missing Mathematics tools to use them.
- If there aren’t any tool to cover your need, start to create your own minimalist tools, in a bottom up way by aggregating existing tools, and improving them incrementally.
- It is only when you are stacked in a situation with your tools that you can start to seriously reshape them for improvement
- Avoid creating a new Theory just because there are few cons in the official Theory, try to find a work around to improve the official theory with your new tools.
- Write the mathematics model and tools that will help to reveal the problem with tools for high school or undergraduate students whenever possible

- Publish your LaTeX 2e book only when it is self-supporting and decent enough