Calculus book recommendation











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






















  • 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












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






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










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















active

oldest

votes











Your Answer





StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");

StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});

function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});


}
});














 

draft saved


draft discarded


















StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3003509%2fcalculus-book-recommendation%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown






























active

oldest

votes













active

oldest

votes









active

oldest

votes






active

oldest

votes
















 

draft saved


draft discarded



















































 


draft saved


draft discarded














StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3003509%2fcalculus-book-recommendation%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown





















































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown

































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown







Popular posts from this blog

Ellipse (mathématiques)

Quarter-circle Tiles

Mont Emei