There are classic textbooks for Calculus like Spivak, Courant, Apostol, etc that do a fantastic job at explaining the fundamental concepts and theory along with great problem sets. My question is the following:
Are there any classic textbooks for Algebra, Geometry, and Trigonometry that are equivalent to how Spivak, Courant, and Apostol are for Calculus?
When I say "Algebra" I mean elementary algebra not abstract algebra. I would like a book that explains concepts like polynomials, factoring, sequence and series, inequalities, absolute value, and other interesting algebraic structures with non trivial problem sets. Something like the algebra in the math olympiad.
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