Intro Math "The art of problem solving" textbook series

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SUMMARY

The discussion centers on the "Art of Problem Solving" (AoPS) textbook series, specifically the books "Introduction to Algebra" and "Introduction to Geometry." Participants agree that purchasing the solution manual is essential for effective learning. The series is designed to build foundational knowledge before progressing to competition-level mathematics, such as MathCounts and AMC. Recommendations for additional rigorous resources include Kisselev's geometry books and Gelfand's texts for trigonometry.

PREREQUISITES
  • Familiarity with basic algebraic concepts
  • Understanding of geometry fundamentals
  • Knowledge of competition mathematics (MathCounts, AMC)
  • Experience with advanced algebra texts (e.g., SL Loney, Euclid's Elements)
NEXT STEPS
  • Research the "Art of Problem Solving" solution manuals for effective study
  • Explore Kisselev's "Planemetry" and "Stereometry" for advanced geometry
  • Study Gelfand's trigonometry textbooks for deeper understanding
  • Investigate other algebra resources beyond AoPS for broader knowledge
USEFUL FOR

High school students, math enthusiasts, and anyone preparing for mathematics competitions who seeks to strengthen their algebra and geometry skills.

parshyaa
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  • I am a 12th grade student. I am new to this series and i know that these are great books. i am going to buy 3 books.
  • the basics , introduction to algebra, introduction to geometry
  • is it necessary to buy solution manual.
  • is it ok to buy these three books for the beginners
  • what about concept content of these books.
 
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I done these books before. I recommend going in order because these books get harder and harder. I think what you have is in order.
It is necessary to buy the solution manual. The concept of these books is teaching the basics then going to the competition level like MathCounts or AMC.
 
MathWA said:
I done these books before. I recommend going in order because these books get harder and harder. I think what you have is in order.
It is necessary to buy the solution manual. The concept of these books is teaching the basics then going to the competition level like MathCounts or AMC.
What about delivery in India , I am planning to order aops books along with solution manual from aops site , is it possible to order it from india.
 
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I think it is possible.
 
Woooohoooo , thanks
MathWA said:
I think it is possible.
 
Your welcome.
 
I think it would be more beneficial to get rigorous books on the subjects you want to learn. Ie, for geometry start with Moise, then Planemetry and Stereometry, both of these books are by Kisselev.

For Trig. Learn it from a textbook aimed at college students supplemented with Gelfand. Then move onto Loney.
 
MidgetDwarf said:
I think it would be more beneficial to get rigorous books on the subjects you want to learn. Ie, for geometry start with Moise, then Planemetry and Stereometry, both of these books are by Kisselev.

For Trig. Learn it from a textbook aimed at college students supplemented with Gelfand. Then move onto Loney.
i have finished sl loney, euclids elements , i need a advance knowledge of algebra , therefore i was thinking of aops algebra textbook both introduction and intermediate
 
Do you mean finished by: doing every problem, understanding the big picture, and being able to prove on your own every theorem without looking?
 
  • #10
No solution manuals, ever.
 
  • #11
MidgetDwarf said:
Do you mean finished by: doing every problem, understanding the big picture, and being able to prove on your own every theorem without looking?
yes , i have finished sl loney 3 times and problem also, i am reading euclids element again
 
  • #12
parshyaa said:
i have finished sl loney, euclids elements , i need a advance knowledge of algebra , therefore i was thinking of aops algebra textbook both introduction and intermediate

Are you really interested in competitions? If you are, then the aops books are great. If you're not, then there are many better books that you can go through.
 
  • #13
I want to make my algebra stronger sorry strongest, so I want any book from basic too great advance and I think aops algebra will be good
micromass said:
Are you really interested in competitions? If you are, then the aops books are great. If you're not, then there are many better books that you can go through.
 

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