Studying Is My High School Math Education Complete with These Books?

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The discussion centers on a high school student's quest for a rigorous math education in algebra and geometry. The proposed plan includes starting with basic math using Lang's materials, followed by Gelfand's Algebra, Lang's Geometry or Kiselev's Geometry, Gelfand's Trigonometry, and Gelfand and Sullivan's Precalculus. There is a suggestion to consider the Art of Problem Solving (AoPS) books as an excellent resource for strong math students, emphasizing that while classes can complement these materials, they are not essential. The student also questions the relevance of the SMSG books from Yale University, which may be outdated. Overall, the focus is on building a solid and challenging foundation in mathematics.
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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 I was thinking the SMSG books from yale univ, but that may be outdated (they use stuff like "truth sets").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.
 
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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.
 

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