Books to master pre college calculus

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SUMMARY

The discussion centers on mastering pre-college calculus, specifically for Olympiad-level problem-solving. A key recommendation is "Solving Mathematical Problems: A Personal Perspective" by Terence Tao, a renowned professor at UCLA, who authored the book at age 15. The book is noted for its effective approach to problem-solving, making it suitable for students looking to enhance their calculus skills beyond the high school curriculum. The user expresses a solid foundation in basic calculus concepts but seeks further mastery to tackle more challenging Olympiad questions.

PREREQUISITES
  • Understanding of basic calculus concepts including integration, differentiation, limits, and continuity.
  • Familiarity with problem-solving techniques in mathematics.
  • Knowledge of mathematical Olympiad formats and question types.
  • Ability to engage with advanced mathematical texts and problem sets.
NEXT STEPS
  • Read "Solving Mathematical Problems: A Personal Perspective" by Terence Tao to enhance problem-solving skills.
  • Practice Olympiad-level calculus problems from various mathematics competition resources.
  • Explore additional books on advanced calculus and mathematical analysis.
  • Join online forums or study groups focused on mathematics Olympiads for collaborative learning.
USEFUL FOR

This discussion is beneficial for high school students, aspiring mathematicians, and educators seeking to deepen their understanding of pre-college calculus and improve problem-solving abilities for mathematics competitions.

simpy
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suggest books to master olympiad level calculus
I have knowledge of all the basic integration,applications of derivatives, differentiation, limits continuity derivability & everything that a high school student should know but still I am having problems in solving olympiad level questions( can occasionally solve those olympiad problems). And Iwant to master in pre college calculus.
 
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simpy said:
suggest books to master olympiad level calculus
I have knowledge of all the basic integration,applications of derivatives, differentiation, limits continuity derivability & everything that a high school student should know but still I am having problems in solving olympiad level questions( can occasionally solve those olympiad problems). And Iwant to master in pre college calculus.

Hey simpy and welcome to the forums.

I think I have a good book for you.

It was written by Terrance Tao who is a professor at UCLA who went pretty well in this kind of environment (Math Olympiad). He wrote a book on problem solving that seems right up your alley:

https://www.amazon.com/dp/0199205604/?tag=pfamazon01-20
 
Last edited by a moderator:
I recommend reading Professor Tao's preface to the second edition at that link. It seems he wrote that book at the age of 15. Not that it isn't excellent for the OP's purpose, but he points out that it necessarily contains none of the insights of the mathematician he is now.
 

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