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.

Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.