"The art of problem solving" textbook series

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Discussion Overview

The discussion revolves around the "The Art of Problem Solving" textbook series, focusing on its suitability for beginners, the necessity of solution manuals, and recommendations for additional resources. Participants share their experiences with the books and express varying opinions on the best approach to learning mathematics, particularly algebra and geometry.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Exploratory

Main Points Raised

  • One participant expresses interest in purchasing three specific books from the series and questions the necessity of a solution manual and the appropriateness of these books for beginners.
  • Another participant recommends following the order of the books as they progressively increase in difficulty and emphasizes the importance of the solution manual for understanding the concepts leading to competition levels.
  • Some participants suggest alternative rigorous books for geometry and trigonometry, indicating that there may be better resources depending on the learner's goals.
  • A participant questions the depth of understanding achieved with previous books, prompting a discussion about what it means to have "finished" a textbook.
  • There is a suggestion that the AOPS books are particularly beneficial for those interested in mathematics competitions, while others argue that there are superior options for learners not focused on competitions.

Areas of Agreement / Disagreement

Participants express differing views on the necessity of solution manuals, the appropriateness of the AOPS series for beginners, and the best resources for advancing mathematical knowledge. No consensus is reached on these points.

Contextual Notes

Some participants reference their prior experiences with other textbooks, which may influence their recommendations. The discussion includes varying levels of familiarity with the AOPS series and differing educational goals, which may affect the applicability of the suggestions made.

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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