Deciding Between Apostol & Courant Books - Input Appreciated

  • Context: Calculus 
  • Thread starter Thread starter Ryan14159
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SUMMARY

The discussion centers on the decision between purchasing Apostol and Courant's multi-volume mathematics books. Participants suggest that if the individual has already read Spivak's "Calculus," they may not need either book, as they contain similar material. Apostol is recommended as the superior choice due to its practical problem sets, which are less theoretical than Spivak's yet still challenging. The conversation also highlights the importance of having a solid mathematical foundation before tackling these advanced texts.

PREREQUISITES
  • Familiarity with Spivak's "Calculus"
  • Basic understanding of advanced mathematics concepts
  • Knowledge of mathematical proofs and problem-solving techniques
  • Experience with multi-volume mathematical texts
NEXT STEPS
  • Research Apostol's "Mathematical Analysis" for practical problem sets
  • Explore Courant's "Differential and Integral Calculus" for theoretical insights
  • Study additional analysis books for new material beyond Spivak
  • Review foundational mathematics concepts to prepare for advanced texts
USEFUL FOR

Mathematics students, educators, and anyone seeking to deepen their understanding of advanced calculus and analysis through comprehensive texts.

Ryan14159
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Im really having a hard time on deciding which of the two multi-volume books to get. I haven't read either of the two, but I do have Spivak's "Calculus", great book, and I've been told both authors are somewhat similar to him. Any input would be much appreciated.

(And yes I have considered just getting both but I am a college student on a budget)
 
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You already read Spivak? No need getting Apostol or Courant then. Just get something with actual new material, like an actual analysis book.
 
Hah, I've tried to more than once, but I don't know if I want to just start laughing out loud or through it across the room, so I've found that its most useful as a reference book. A few people have told me to look up the two above mentioned mathematicians because they put a similar effort into their proofs and explanations. Its the attention to detail they use that gets me.
 
Ryan14159 said:
Hah, I've tried to more than once, but I don't know if I want to just start laughing out loud or through it across the room, so I've found that its most useful as a reference book. A few people have told me to look up the two above mentioned mathematicians because they put a similar effort into their proofs and explanations. Its the attention to detail they use that gets me.

OK. Anyway, I think Apostol is the better book here. The problems are not as theoretical as Spivak, but they are still as difficult.

May I ask you what knowledge of mathematics you have already? It is very likely you just don't have enough experience or knowledge to be able to tackle Spivak, or Apostol, or Courant.
 

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