[Math/Calculus] Which book to use first?

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Discussion Overview

The discussion revolves around which mathematics book to start with for summer study after completing A-Levels. The books in question are Spivak's Calculus and "A Course of Pure Mathematics" by G.H. Hardy. The focus is on the suitability and difficulty of each book for a beginner.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant suggests starting with "A Course of Pure Mathematics" by Hardy, citing Spivak's book as very difficult.
  • Another participant expresses skepticism about the quality of Hardy's book, recommending that if it does not meet expectations, one should consider looking for alternatives.
  • A third participant acknowledges the value of Spivak's book but advises not to take it too seriously and to be prepared to skip problems or seek additional resources if needed.

Areas of Agreement / Disagreement

Participants do not reach a consensus on which book is better to start with, with differing opinions on the difficulty and quality of both texts.

Contextual Notes

Some participants express uncertainty regarding the effectiveness of Hardy's book and the challenges posed by Spivak's book, indicating a need for personal assessment of each text's suitability.

NeoXx
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Hello,

I just finished A-Levels (high school) and I bought two maths books to study over summer.

I got Spivak's Calculus and "A Course of Pure Mathematics" by G.H.Hardy.

With which book should I start? Or should I learn from them simultaneously?


Regards,

NeoXx
 
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If you're set to choose between these two, I'd probably go for "A Course of Pure Mathematics" first. Spivak's book is considered to be a very hard book to go through.
 
TheAustrian said:
If you're set to choose between these two, I'd probably go for "A Course of Pure Mathematics" first. Spivak's book is considered to be a very hard book to go through.

Thanks.
 
I'm not convinced that Hardy's book is a good book. If you find it isn't so good, look for another. Spivak is good but don't take it too seriously, be prepared to skip a few problems or to read more about topics online (if you need to I mean).
 

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