Should Apostol's calculus be supplemented with Courant/Spivak

  • Thread starter capsicum
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  • #1
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Hello ,
I am currently studying from the book Calculus - Volume 1 by Apostol . I am doing it as a pre cursor to studying Real Analysis by Rudin.

I am currently on the second chapter of the book. I am solving the exercises as best as I can.
My question is , while I am doing this book is it necessary to supplement it with a book such as 'Introduction to calculus and Analysis' by Courant or Spivak's Calculus. I usually don't face any difficulties in understanding the material from Apostol.

What has happened is that there has been a 1 month gap since I studied it last. And I am unable to gain the flow which I initially had with the book. This has happened because sometimes I have to refresh some of the older concepts. Should I restart the book from the beginning to regain the flow or should I use Courant's book to do those parts ?

Is it possible to approach Rudin after doing Apostol's book or one should also attempt Spivak/Courant before doing so?
 

Answers and Replies

  • #2
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My opinion is that you should study straight from Spivak's Calculus.
 
  • #3
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Only doing Apostol should be enough. Spivak or Courant is on the same level as Apostol.
If you're stuck you should read previous chapters to refresh your memory.
 
  • #4
mathwonk
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I agree with micromass. If you master and complete Apostol, there is no need to read Spivak or Courant.
 

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