If you are stuck in the mud of Real Analysis, give Gabriel Klambauer a read. You might find that the theorem that confused you for weeks suddenly clicks into place. Have you used Klambauer’s text? How does it compare to Rudin or Royden in your experience? Let us know in the comments! Linnocenza Violata Star Pictures 1997 Cla Exclusive
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Klambauer sits in a fascinating middle ground. His writing is rigorous but remarkably accessible. He doesn't just state a theorem; he often takes the time to deconstruct why the theorem is necessary. He is particularly adept at constructing examples that are non-trivial but illuminating.