Recommend some good calculus book

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The discussion focuses on identifying the best precalculus books for studying theory, particularly for those preparing for olympiad-level mathematics. Recommendations include "Differential and Integral Calculus" by Richard Courant, which is noted for its theoretical depth. However, participants emphasize that calculus is not a significant part of the RMO to IMO syllabus, suggesting that high school students should prioritize standard textbooks for foundational understanding. "Problems in Calculus of One Variable" by I.A. Maron is mentioned for its balance of theory and exercises, while "A Problem Book in Mathematical Analysis" by G.N. Berman is recognized for its problem-solving focus. For advanced study, "Thomas' Calculus" is suggested, along with Spivak for theoretical insights, and REA Problem Solvers for practical problem-solving. Standard texts like Stewart's are recommended for a general overview of calculus concepts.
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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