Searching for textbooks that teach math differently from other textbooks about the same subject.

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Famous examples would be LADR (which to an extent eschews determinants) and Aluffi's Algebra (which involves some category theory). I would like more books in this vein, that either teach differently than other books written on the same subject, or books that present proofs, theorems, and methods which are also not commonly taught in other textbooks. Thank you!