The discussion centers around recommendations for books on non-standard analysis, with a focus on resources that are accessible and not overly complex. Participants share their suggestions and experiences with various texts related to this mathematical topic.
Participants generally agree on the usefulness of Keisler's works, but no consensus exists on a definitive list of recommended books beyond those mentioned.
Some limitations include the lack of detailed discussion on the content or quality of the suggested books, as well as the absence of alternative viewpoints on non-standard analysis literature.
Readers interested in non-standard analysis, particularly those seeking introductory materials or accessible texts in mathematics.
Q-1 said:I am looking for for some good books on non-standard analysis. Hoping for something simple and not too complex.
George Jones said:You might like to look at Keisler's book on first-year calculus from the point of view of non-standard analysis, and Keisler's background book "Foundations of Infinitesimal Calculus". These are freely available from the links at
https://www.math.wisc.edu/~keisler/