Are there any errors or errata in Rudin's Principles of Mathematical Analysis?

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Discussion Overview

The discussion revolves around potential errors or errata in "Principles of Mathematical Analysis" by Walter Rudin, focusing on specific pages and definitions. Participants seek clarification on typographical issues and the accuracy of certain mathematical statements within the text.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant inquires about the existence of an errata for the book and expresses confusion over an exponent in front of a 2 on page 2.
  • Another participant mentions that George Bergman has posted an errata online and disputes the presence of the exponent, while confirming an error in definition 1.5(ii), suggesting it should read "y
  • A different participant reports a misprint in their version of the book regarding a mathematical expression in section 1.1 (4), indicating it should be "q^2 - 2".
  • Another participant notes that their recently purchased edition has corrected some typos but identifies a different issue on page 35 related to a proof in section 2.21(a). They suggest that the text should clarify that "p has a neighborhood which does not intersect \overline E".

Areas of Agreement / Disagreement

Participants express differing views on the presence of errors, with some confirming specific issues while others dispute them. There is no consensus on the overall accuracy of the text or the existence of errata.

Contextual Notes

Participants reference different editions of the book, which may contribute to discrepancies in reported errors. Specific assumptions about the text's content and the accuracy of definitions are not universally agreed upon.

Unassuming
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I have cracked open Baby Rudin for the first time and I would like to ask if anybody knows of an errata that is on the "web"? I cannot find one. I wanted to print one out before I get in too deep and hurt myself.

Also, on page 2 (that's right, only pg. 2) , (4) has an exponent in front of a 2. What is this?

Lastly, on pg 3. 1.5 definition, (ii), am I reading it correctly or am I missing something? I feel like there is an error in saying "if x<y and y<x, then x<z " ?

Please help, I will begin to contribute to these forums starting today. Thanks
 
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George Bergman has an errata posted on his webpage.

I don't see the exponent you mention on page 2, and apparently neither does Bergman. But there is an error in definition 1.5(ii): the y<x should be a y<z.
 
Morphism, thank you. Those notes will help me to understand the reading. Last night I got to pg 9 and understood everything except 1.1.

In 1.1 (4), my version has a misprint apparently. I got my version from my school library in compact storage. When I "looked inside" the book using the amazon dot com feature I see that it is supposed to be "q^2 - 2".

I have a feeling I won't understand how to construct the reals pretty soon. Appendix 1 !

thanks morphism
 
In my book (third edition/bought three days ago) I've found both typos corrected. But on page 35 in the proof to 2.21(a) it should read:
Hence [itex]p[/itex] has a neighborhood which does not intersect [itex]\overline E[/itex].
 

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