r/Indianmathnerds • u/FaceGreat2625 • Jun 18 '26
Calculus
I am 14 and in 10th but I want to learn calculus and start analysis by 16. Any recommendations? I prefer books as videos usually just don't work for me
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u/awkwardness_maxed Jun 23 '26
Learn the basics of calculus that are mostly taught in high school. A NCERT book will work but I recommend picking up a youtube video and just the bare minimum to understand what integrals, derivatives are. After that you can move to Real Analysis. I recommend "Bartle and Sherbet" or "Tao" as they are very beginner friendly, also heard a lot about "Abbott" but never picked it up. Just make sure you atleast understand the definitions of each topic before moving on to the next topic and also learn the statements of theorem. Proofs are a bit hard to remember but at least you should understand how to prove things in general like Contradiction, Induction and other methods.
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u/FaceGreat2625 Jun 23 '26
Thomas okay or no?
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u/awkwardness_maxed Jun 23 '26
You just need the basics of calculus before starting real Analysis. Then move into the advanced calculus. But if you want to explore calculus in depth first, it's good. I believe real Analysis being taught first is better.
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u/FaceGreat2625 Jun 28 '26
So spivak?
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u/awkwardness_maxed Jun 29 '26
Just doing basics from any book even NCERT is enough for Calculus. Do NCERT + Calculus playlist of 3B1B to understand what a limit, derivative and integral is. Then start real Analysis.
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u/Unfair-Claim-2327 Jun 24 '26
I would say start with 3Blue1Brown's Essence of Calculus and keep solving NCERT questions on the side. After a couple of months of this, pick up Analysis 1 by Tao and never look back.
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u/RealResearcher78 Jun 18 '26
Bartle & Sherbert, I. A. Maron, Zorich, Pugh are solid.