Are there any free manuals that are roughly on the level of Lamport, Mittelbach & Goossens, Kopka & Daly, etc.; more in-depth than the Not So Short Introduction to LaTeX, but not as daunting as source2e.pdf?
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texdoc texbytopic may be the level you are looking for.
CTAN: TeX by Topic
Explanation texdoc: TUG TeXdoc
As @lockstep notes this isn't about latex but about tex primitives mostly, however reading that first would go a long way to making the LaTeX sources (source2e) more readable.
David Carlisle
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I just remembered that Math mode is a comprehensive free guide to typesetting mathematics.
Ian Thompson
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texdoc texbytopicanyway. Some people reading this might not have any idea whattexdocis or do not have direct access to it (atm). – Martin Scharrer Apr 14 '12 at 12:16