After studying ultraproducts in my model theory course, I have become rather fascinated by the nonstandard numbers. I asked my professor about books on the hyperreals and hyperintegers, but he couldn't come up with one. Is there a superior book on the subject? I am looking for one I can use to teach myself nonstandard analysis. I understand logic/model theory notation and theory best.
2026-03-25 13:54:51.1774446891
Books on Non-Standard Analysis from a model theory standpoint
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My personal favorite is Goldblatt's book Lectures on the hyperreals. But Kanovei's book Nonstandard analysis, axiomatically should also be kept in mind: Kanovei presents an entire set theory around nonstandard-ness, and is the natural conceptual development after Goldblatt for someone interested in set-theoretic foundations.