Interested in Introductory Non-Standard Analysis Books?

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Jerome Keisler's book on non-standard analysis is recommended as a starting point, available for free on his website and in a Dover paperback. The discussion emphasizes the importance of determining whether the interest lies in the theoretical or practical applications of non-standard analysis. Participants suggest exploring both aspects for a comprehensive understanding. Additional resources and threads are referenced for further exploration. Engaging with both theoretical and practical elements can enhance the learning experience in non-standard analysis.
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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?
 
i am self learning physics. have you ever worked your way backwards again after finishing most undergrad courses? i have textbooks for junior/senior physics courses in classical mechanics, electrodynamics, thermal physics, quantum mechanics, and mathematical methods for self learning. i have the Halliday Resnick sophomore book. working backwards, i checked out Conceptual Physics 11th edition by Hewitt and found this book very helpful. What i liked most was how stimulating the pictures...

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