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Real Analysis through Modern Infinitesimals

By Nader Vakil
eBook
$228.00
By Nader Vakil
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Real Analysis Through Modern Infinitesimals provides a course on mathematical analysis based on Internal Set Theory (IST) introduced by Edward Nelson in 1977. After motivating IST through an ultrapower construction, the book provides a careful development of this theory representing each external class as a proper class. This foundational discussion, which is presented in the first two chapters, includes an account of the basic internal and external properties of the real number system as a...

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Science & TechnologyMathematicsMathematical AnalysisMathematical Analysis - General & Miscellaneous