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The book presents a compelling argument for the inclusion of nonstandard analysis in university curricula, emphasizing its role in enhancing the understanding of standard analysis and mathematics. By adopting an axiomatic framework that differentiates between various language levels, it naturally leads to a nonstandard theory. Historical insights from Leibniz provide additional motivation for this approach. The text offers a well-developed concept that serves as an excellent foundation for supplementary courses or lectures on the subject.
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Nonstandard Analysis, Karl Kuhlemann
- Language
- Released
- 2024
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- (Paperback)
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- Title
- Nonstandard Analysis
- Subtitle
- In Higher Education, Logic and Philosophy
- Language
- English
- Authors
- Karl Kuhlemann
- Publisher
- De Gruyter
- Released
- 2024
- Format
- Paperback
- Pages
- 260
- ISBN13
- 9783111428871
- Category
- Philosophy, Mathematics
- Description
- The book presents a compelling argument for the inclusion of nonstandard analysis in university curricula, emphasizing its role in enhancing the understanding of standard analysis and mathematics. By adopting an axiomatic framework that differentiates between various language levels, it naturally leads to a nonstandard theory. Historical insights from Leibniz provide additional motivation for this approach. The text offers a well-developed concept that serves as an excellent foundation for supplementary courses or lectures on the subject.