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Increment Theorem: Increment Theorem, Nonstandard Analysis, Function (mathematics), Differentiable -

English
2026-03-15
€179.62 €224.53

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Non-standard analysis is a branch of mathematics that formulates analysis using a rigorous notion of an infinitesimal number.A non-zero element of an ordered field F is infinitesimal if and only if its absolute value is smaller than any element of F of the form 1/n, for n a standard natural number. Ordered fields that have infinitesimal elements are also called non-Archimedean. More generally, non-standard ... Full description

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Description

Non-standard analysis is a branch of mathematics that formulates analysis using a rigorous notion of an infinitesimal number.A non-zero element of an ordered field F is infinitesimal if and only if its absolute value is smaller than any element of F of the form 1/n, for n a standard natural number. Ordered fields that have infinitesimal elements are also called non-Archimedean. More generally, non-standard analysis is any form of mathematics that relies on non-standard models and the transfer principle. A field which satisfies the transfer principle for real numbers is a hyperreal field, and non-standard real analysis uses these fields as non-standard models of the real numbers.

More Information

Publisher OmniScriptum
Release year 2026
Cover type Softcover
EAN 9786131112478
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€179.62 €224.53