Recommend some good calculus book

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SUMMARY

The discussion centers on recommended precalculus and calculus books suitable for olympiad-level study. Key recommendations include "Differential and Integral Calculus" by Richard Courant, "Problems in Calculus of One Variable" by I.A. Maron, and "A Problem Book in Mathematical Analysis" by G.N. Berman. For a comprehensive overview, "Thomas' Calculus" and "Calculus" by Michael Stewart are also suggested. The consensus emphasizes the importance of foundational theory over advanced calculus for olympiad preparation.

PREREQUISITES
  • Understanding of basic calculus concepts
  • Familiarity with mathematical analysis
  • Knowledge of olympiad-level mathematics
  • Ability to solve mathematical problems
NEXT STEPS
  • Research "Differential and Integral Calculus" by Richard Courant
  • Explore "Problems in Calculus of One Variable" by I.A. Maron
  • Study "A Problem Book in Mathematical Analysis" by G.N. Berman
  • Investigate "Thomas' Calculus" for a broader understanding
USEFUL FOR

Students preparing for mathematics olympiads, high school learners seeking a solid foundation in calculus, and educators looking for effective teaching resources in precalculus and calculus.

simpy
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What is/are the best book/s in precalculus suitable to study theory (exercises may or may not be there) ?
Reply as soon as possible.
I Prefer you to refer some olympiad level book.
Is following worth doing for the same purpose?
Differential and Integral calculus by Richard courant
Single variable calculus books an also be referred.
Thanks...
 
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calculas book for olympiad level, there is no space for calculas in RMO to IMO syllabus and as given in status of IPhO you can't solve a problem using high/advance calculas. so just read textbook. and for further reading Problems in calculas of one variable by I A Maron it has theory,solved examples and problem.another book is A Problem book in mathematical analysis by G N Berman but it cotains only problems.If you want to go beyond yet then try thomas calculas.
 
I would recommend Spivak, and for problems try REA problems solvers in calculus. If you are still in high-school and want just an overview about calculus then try the standard texts suxh as Stewart.
 

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