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File: 1657367685.0.x.png (2.89 MB, 1887x2387)
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It's extremely tedious and I feel like I am wasting time. Would I have been off going with a simpler book and then straight to Abbott?
>>
Just read Foundations of Modern Analysis by Dieudonné instead of any of those meme books.
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>>17074775
real analysis is real homo
>>
>>17074775
If your end goal is mastering real analysis, you can reasonably skip the rest of Spivak's Calculus (3rd edition) and move to Abbott's Understanding Analysis.
- Spivak: Excellent for developing rigorous mathematical thinking, but its exercises can be extremely demanding. You don't need to complete the entire book to succeed in real analysis.
- Abbott: A more direct route to your goal. It focuses on real analysis: sequences, limits, continuity, differentiation, integration, and rigorous proofs.
Recommended approach:
1. Move to Abbott now if you already understand ordinary single-variable calculus reasonably well.
2. Work through Abbott's proofs and exercises seriously rather than just reading the material.
3. Return to Spivak or a simpler calculus textbook whenever you encounter gaps in your calculus knowledge.
One caveat: Abbott will still be challenging if you're unfamiliar with writing mathematical proofs. Skipping Spivak won't eliminate that difficulty, but it will let you focus more directly on real analysis.
Bottom line: Spivak is an excellent book, but completing it isn't a prerequisite for mastering real analysis. If it's slowing you down and making your studies unnecessarily tedious, switching to Abbott is a sensible decision, not a shortcut that compromises your education.
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>>17074787
>>17074775

Spivak is a meme book if you use it incorrectly, but Abbott isn't a meme book at all and is very good

Foundations of Modern Analysis by Dieudonné is a dogshit book from a pedagogical standpoint, and nobody has read it. Just look at the Amazon reviews for proof.



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