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What are the recommended textbooks for introductory calculus?
Hi, i am a software engg. and math was never my favourite. I somehow dragged thru the math i had to do in college to earn my degree. But my brother (7 years younger aged 15) does have an aptitude for math. i have seen him cruise thru his high school texts with little or no difficulty. He also says he wants to be a mechanical engineer (and backs up his claim by cleaning up and servicing my motorcycle incessantly) anyways he is 15 now and sadly his syllabus hasnt introduced to almost any calculus. I know he has to learn a lot of calculus if he is to excel in the Entrance exams for engg colleges in India.So what would you suggest is a good text to start with (in calculus) ? something that shall explain the basics but shall also take the reader to the more advanced and challenging places in calculus ?
TL; DR :
So what would you suggest is a good text to start with (in calculus) ? something that shall explain the basics but shall also take the reader to the more advanced and challenging places in calculus ?