"Honest" introductory real analysis book

real-analysis big-list reference-request soft-question book-recommendation

Possibly Abbott, Understanding Analysis


A bit of self publicity, but the reason that A Primer on Hilbert Space Theory was written is precisely to give what you refer to as an 'honest' introduction to the foundations of analysis.

Edit: OP's comment below clarifies this book is not at the intended introductory level.


I have had the pleasure to teach introductory real analysis from couple of excellent texts, which I would also recommend.

  • Elementary Analysis: The Theory of Calculus by Kenneth A. Ross
  • Introduction to Real Analysis by Robert G. Bartle and Donald R. Sherbert

Bartle's Introduction to Real Analysis has a small number of "left to the reader" proofs, from I have seen so far.


Get two volumes of Zorich.$ $

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