Recommend some good calculus book

In summary, there are several recommended books for studying precalculus theory at an olympiad level. It is suggested to refer to a book specifically for olympiad level, such as "A Problem Book in Mathematical Analysis" by G N Berman, or "Problems in Calculus of One Variable" by I A Maron. For further reading, "Thomas Calculus" and "Spivak" are recommended. However, if the reader is still in high school and wants an overview of calculus, standard texts like "Stewart" can be used. It is important to note that the use of advanced calculus may not be applicable in olympiad exams, as stated in the status of IPhO.
  • #1
simpy
18
0
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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  • #2
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.
 
  • #3
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.
 

What are the best calculus books for beginners?

Some popular options for beginners include "Calculus Made Easy" by Silvanus P. Thompson, "Calculus: Early Transcendentals" by James Stewart, and "Calculus: An Intuitive and Physical Approach" by Morris Kline.

What are the best calculus books for advanced learners?

For more advanced learners, some recommended books are "Advanced Calculus" by Patrick M. Fitzpatrick, "Calculus" by Michael Spivak, and "Calculus: Volume 1" by Tom M. Apostol.

Are there any online resources for learning calculus?

Yes, there are many online resources available for learning calculus, including video lectures on platforms like Khan Academy and Coursera, as well as interactive tutorials and practice problems on websites such as Wolfram Alpha and Calculus.org.

Can you recommend a calculus book with a focus on applications in engineering or physics?

Some books with a focus on applications in engineering and physics include "Calculus for Scientists and Engineers" by William L. Briggs, "Calculus for the Life Sciences" by Raymond N. Greenwell, and "Calculus for Biology and Medicine" by Claudia Neuhauser.

Is it better to use a textbook or a study guide for learning calculus?

It ultimately depends on the individual's learning style and preferences. Textbooks typically provide more in-depth explanations and examples, while study guides may offer more concise and focused review material. It may be helpful to use a combination of both for a well-rounded understanding of calculus.

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