Is My High School Math Education Complete with These Books?

Click For Summary
SUMMARY

The discussion centers on the optimal resources for a rigorous high school math education, specifically in algebra and geometry. The recommended materials include "Basic Mathematics" by Richard Rusczyk, "Algebra" by I. M. Gelfand, "Geometry" by David Gelfand and Mark Saul, "Trigonometry" by I. M. Gelfand, and "Precalculus: Graphs and Functions" by Gelfand and Sullivan. The Art of Problem Solving (AoPS) books are also suggested as excellent resources for advanced students. The SMSG books from Yale University are considered outdated and not necessary for a strong foundation.

PREREQUISITES
  • Familiarity with basic mathematical concepts
  • Understanding of algebraic principles
  • Knowledge of geometric fundamentals
  • Ability to engage with problem-solving techniques
NEXT STEPS
  • Explore "Basic Mathematics" by Richard Rusczyk for foundational skills
  • Study "Algebra" by I. M. Gelfand for advanced algebra concepts
  • Investigate "Geometry" by Gelfand and Saul for rigorous geometric understanding
  • Consider the Art of Problem Solving series for challenging problem-solving practice
USEFUL FOR

High school students seeking a comprehensive and rigorous math education, educators looking for effective teaching resources, and anyone interested in strengthening their algebra and geometry skills.

Prince1
Messages
3
Reaction score
0
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 I was thinking the SMSG books from yale univ, but that may be outdated (they use stuff like "truth sets").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.
 
Physics news on Phys.org
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.
 

Similar threads

Re-Learn Math for Physics Olympiad
  • · Replies 1 ·
Replies
1
Views
3K
Studying Advice Needed: Seeking Help with Math & Physics for Engineering Studies
  • · Replies 16 ·
Replies
16
Views
3K
Reaching skill level for Mathematical Research
  • · Replies 2 ·
Replies
2
Views
2K
Other I need advice on preparations for studying calculus
  • · Replies 24 ·
Replies
24
Views
5K
Schools Can I get some guidance for math courses to take? (high school freshman)
  • · Replies 9 ·
Replies
9
Views
2K
Other Relearning Math: Comparing Resources for the Best Learning Experience
  • · Replies 38 ·
2
Replies
38
Views
12K
Studying Geometry- where to start, how far to go?
  • · Replies 23 ·
Replies
23
Views
3K
Intro Math Plan to revise my learned math & start learning pure math
  • · Replies 5 ·
Replies
5
Views
5K
Supplemental topics for precalculus
  • · Replies 8 ·
Replies
8
Views
3K
Studying What Should Be My Correct View on Math and Physics?
  • · Replies 10 ·
Replies
10
Views
2K