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On the topic of free introductory physics books, Landau's Course of Theoretical Physics (https://en.wikipedia.org/wiki/Course_of_Theoretical_Physics) is available on archive.org, since the earliest editions are out of copyright by now: https://archive.org/search.php?query=creator%3A%22L.D.+Landa...

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These don't fall under "introductory" in any sense of the word. These are hard graduate level books.

They are introductory in the sense that they are more about the horizontal bar of the T than about going in depth in a particular topic. But I guess I have to admit it was a poor choice of words.

Indeed, anyone who can seriously grok all the material in the entire series will gain a very deep and wide understanding of theoretical physics that very few people possess.

I don't think they're introductory books - the Lagrangian is introduced on the second page! Perhaps for a mathematically sophisticated reader?

Depends on your definitions of "introductory" and "mathematically sophisticated reader". In the university I attended, the first physics course (Mechanics & Optics) introduced the concept of Lagrangian fairly early.

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