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Suggest some books to cover the topics of calculus taught in first year of under graduation so that I can improve my problem solving skills in it ( I've knowledge of calculus and pre calculus of high school level). Also recommend books for real analysis and algebra of the same level (Mainly to improve problem solving skills but also to build a strong foundation of theory and applications and stuff).

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    You might try to have a look at similar questions - you can fine several such questions when you search for [calculus+problems](http://math.stackexchange.com/search?q=[reference-request]+calculus+problems) and [calculus+exercises](http://math.stackexchange.com/search?q=[reference-request]+calculus+exercises) among the question tagged (reference-request). And also related links which MSE tried to generate should be useful.2012-07-13
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    I recommend to activly participate here! I wonder if this will not improve your problem solving skills...2012-07-13

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