Calculus book recommendation











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I am in the 11th grade in a country where single variable calculus is required in maths competitions starting from the 11th grade. I am currently looking for a good book that covers the following topics:




  • limits of sequences and functions (stuff like the squeeze theorem,Stolz-Cesaro lemma,L'Hôpital's rule etc);

  • continuous functions;

  • the intermediate value property,the mean value theorem,the intermediate value theorem and others like these;

  • differentiable functions,convexity,concavity etc.

    My problem is that most of the books I have found are targetted at undergraduate students and don't really focus so much on the topics I need.This is why I need your help to find a book suitable for me.










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  • Thank you very much for these great links! I am not really good at searching on this forum and this is why I was unaware that these topics already existed.
    – user69503
    Nov 18 at 13:38















up vote
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I am in the 11th grade in a country where single variable calculus is required in maths competitions starting from the 11th grade. I am currently looking for a good book that covers the following topics:




  • limits of sequences and functions (stuff like the squeeze theorem,Stolz-Cesaro lemma,L'Hôpital's rule etc);

  • continuous functions;

  • the intermediate value property,the mean value theorem,the intermediate value theorem and others like these;

  • differentiable functions,convexity,concavity etc.

    My problem is that most of the books I have found are targetted at undergraduate students and don't really focus so much on the topics I need.This is why I need your help to find a book suitable for me.










share|cite|improve this question






















  • Thank you very much for these great links! I am not really good at searching on this forum and this is why I was unaware that these topics already existed.
    – user69503
    Nov 18 at 13:38













up vote
0
down vote

favorite









up vote
0
down vote

favorite











I am in the 11th grade in a country where single variable calculus is required in maths competitions starting from the 11th grade. I am currently looking for a good book that covers the following topics:




  • limits of sequences and functions (stuff like the squeeze theorem,Stolz-Cesaro lemma,L'Hôpital's rule etc);

  • continuous functions;

  • the intermediate value property,the mean value theorem,the intermediate value theorem and others like these;

  • differentiable functions,convexity,concavity etc.

    My problem is that most of the books I have found are targetted at undergraduate students and don't really focus so much on the topics I need.This is why I need your help to find a book suitable for me.










share|cite|improve this question













I am in the 11th grade in a country where single variable calculus is required in maths competitions starting from the 11th grade. I am currently looking for a good book that covers the following topics:




  • limits of sequences and functions (stuff like the squeeze theorem,Stolz-Cesaro lemma,L'Hôpital's rule etc);

  • continuous functions;

  • the intermediate value property,the mean value theorem,the intermediate value theorem and others like these;

  • differentiable functions,convexity,concavity etc.

    My problem is that most of the books I have found are targetted at undergraduate students and don't really focus so much on the topics I need.This is why I need your help to find a book suitable for me.







book-recommendation






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asked Nov 18 at 13:09









user69503

546




546












  • Thank you very much for these great links! I am not really good at searching on this forum and this is why I was unaware that these topics already existed.
    – user69503
    Nov 18 at 13:38


















  • Thank you very much for these great links! I am not really good at searching on this forum and this is why I was unaware that these topics already existed.
    – user69503
    Nov 18 at 13:38
















Thank you very much for these great links! I am not really good at searching on this forum and this is why I was unaware that these topics already existed.
– user69503
Nov 18 at 13:38




Thank you very much for these great links! I am not really good at searching on this forum and this is why I was unaware that these topics already existed.
– user69503
Nov 18 at 13:38















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