Interested in Introductory Non-Standard Analysis Books?

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Discussion Overview

The discussion revolves around recommendations for introductory books on non-standard analysis, aimed at individuals with a basic understanding of calculus. Participants explore various resources and clarify the focus of interest, whether theoretical or practical aspects of non-standard analysis.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant suggests starting with Jerome Keisler’s book, noting its availability for free online and in paperback.
  • Another participant asks for clarification on whether the original poster is more interested in the theoretical or practical applications of non-standard analysis.
  • A similar question about the focus on theory versus practical use is reiterated by a different participant.
  • A participant references another thread that may provide additional context or information related to the discussion.

Areas of Agreement / Disagreement

Participants have not reached a consensus on the specific focus of interest regarding non-standard analysis, as questions about theoretical versus practical applications remain open.

Contextual Notes

There is a lack of clarity regarding the original poster's specific interests in non-standard analysis, which may affect the relevance of the recommendations provided.

Who May Find This Useful

Individuals seeking introductory resources on non-standard analysis, particularly those with a foundational knowledge of calculus.

Q-1
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Hello,

I am interested in any introductory books to non-standard analysis. My highest level of mathematical education is Calculus II via community college. Any help appreciated.
 
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Are you interested in the more theoretical or more practical side, i.e., how to use non-standard analysis or the theory part? Or both?
 

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