Is My High School Math Education Complete with These Books?

[Prince1]

I am a high school student and I want to get the most rigorous math education available in algebra and geometry. I was thinking the SMSG books from yale univ, but that may be outdated (they use stuff like "truth sets"). How about this plan:
Starting of with basic math by lang
Algebra by gelfand
Lang's geometry/kiselev geometry
gelfand trigonometry
Gelfand and sullivan's precalculus/"graphs and functions"
Is this enough to give me the strongest, most rigorous background in algebra and geometry? Or should I consider the yale univ SMSG books as well? Thanks.

 

[IGU]

You might want to consider Art of Problem Solving books. They are a very good choice for the strongest math students. Classes to go with them if you like, but not at all necessary.