Books to master pre college calculus

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To master Olympiad-level calculus, it's essential to build on a solid foundation of high school mathematics, including integration, differentiation, limits, and continuity. Despite having this knowledge, many students find themselves struggling with advanced problem-solving. A highly recommended resource is the book by Terence Tao, a renowned professor at UCLA, known for his expertise in mathematics and success in Math Olympiads. His book on problem-solving is particularly suited for those looking to enhance their skills in tackling challenging calculus problems. The preface of the second edition offers valuable insights into the evolution of mathematical understanding, emphasizing the importance of continuous learning and practice in mastering complex concepts.
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
 
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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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