This site aims to

**Rebuild mathematics**with (almost) no prerequisites.-
**Introduce the fundamental theories of physics**(Relativity and quantum physics)

It may be situated **in between undergraduate and graduate
levels**: by its way of rebuilding everything from the start,
it aims to fill the role of (a subset in progress of) an
undergraduate curriculum (1st university year), but the difficulty
level with the care for powerful methods and deep and complete
explanations, is comparable to graduate level (3rd year). Also, it
takes some of its inspiration and concepts from existing
graduate-level mathematics (in a simplified form).

It is thus mainly **targeted at **

**Clever undergraduate students**with genuine interests in mathematics or physics (rather than focused on preparing for exams): my precise ambition is to make this the best course of mathematics for geniuses (much better than Harvard, MIT or whatever);**Teachers**of mathematics or physics looking for deeper understandings of their subject;- Any people trying to learn science outside the academic system.

It does not aim (nor exclude) to bring new ideas, results or theories (with few exceptions : the set generation principle; the page "Time in set theory" - interpretations of quantum physics), but focuses on developing new optimized paths to already known fundamental theories of mathematics and physics : putting things in the right order, to make high concepts look as clear, simple and fast to learn as possible. It combines the following advantages:

- To be as rigorous as possible (everything is explained, all what is provable is proven from the beginning)
- To give powerful and general concepts and tools, avoiding any unnecessary lengths. Rigor will not dilute or obscure the meaning. Proofs are usually very short. Pages are very dense, with many ideas per page to explain everything. The right formalism will express the highest concentration of meaning.
- Original (cleaned up and restructured) approaches are given to most subjects
- Emphasis is placed on intuition, deep and "philosophical" explanations, the main foundational concepts and paradoxes, the mathematical world.

Also available in text version : Why learn physics by yourself

A shorter version (about 15 min) was done at Ukraine Crisis Media Center where I announced my offer of free physics courses in Ukraine for summer 2016. Full text version and video.

Students might eventually register to this group but it is always better to write me email anyway.

For a long time I wished to offer such free teaching, but could not find a chance to do it anywhere; even organizers of non-institutional science teaching are sticked to old methods; here is an anecdote about it.

Thanks for the link added by the author of this page, but I have offered to join and present my approach there and they refused... I wrote the below message in facebook:

I see that your program for this summer includes some introductions to Special and General relativity following the usual old unclarified approach. I had offered to come and present my approach to these subjects, but got the organizer's reply that you prefer to not invite me because of the inconvenience of making it in English. (...) I doubt that considering all aspects, you will make things any clearer in your way (...). Indeed the very title you give for that course, insists that things will appear paradoxical. That is, things will seem strange and hard to figure out. Indeed, the usual approach that you follow (because, all teachers follow each other as I explained in my video), has the inconvenience of making things appear obscure and more complicated than necessary, somehow feeling illogical (of course there is no contradiction but I speak about the impression it gives). My own view, on the other hand, focuses on the aspects of how things are simple and coherent according to the physical world's internal logic, and thus better understandable. (...) I will be available to independently offer my teaching (for free), I just do not know how to organize this (time and place). And without selecting students, so anyone interested can write me privately and we'll see if how we can organize.which was deleted, with the reaction that the author did not consider his approach as an "old and thoughtless repetition".. well, did I need to specify that I meant "old and thoughtless repetition" in a relative manner.... that is, lacking the harder work that would be needed by the teacher to make it more clearly and easily understandable for students.

A first version was written in French,
then partially corrected and translated to make the start of this
site, which then continued directly in English on other subjects.

Now over 50 pages ready from the start on mathematics (entirely
self-contained), plus more sections of maths and physics in bulk
or draft; still incomplete (some French pages should be corrected
before translation, and others are in plans to be directly written
here).

I cannot ensure the perfection of the English vocabulary as I'm
not native English speaker. Moreover I need to name some concepts
that have not always a standard name in the mathematical
literature; I know that my use of "functor" differs from (is more
general than) its standard meaning in category theory, and thus
breaks the standard convention, but I do not know any better word
for what I need.

As this site is relatively recent, it is not well-known yet. So if you see it worth, please help spreading the word about it (look here for how).

From Le Havre, France (and probably the one one from there)

PhD in Mathematics

(but I did not like the academic system; I learnt more mathematics and physics on my own since teenage, including General Relativity at 16).

I have the following other sites :

- First site in French (with a diversity of subjects): spoirier.lautre.net =
sylvainpoirier.fr - English entry page.
Includes
- Economic theory : infoliberalism
- A free software project for a global revolution : trust-forum.net - web programmers needed !

- Philosophy site: antispirituality.net (and a smaller one)

For many years I was upset. Here is why. Now things seem to be going a little better in the sense that I found a programmer to start the work but more will be needed.

Email : trustforum at gmail.com

A facebook account I sometimes
losed access to just because of their "security procedures"...
and where I give some news, though I keep the main interesting long-term content in my web sites

Back to entry page, or Part 1 : First foundations of mathematics.