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Introduction to Hyperreals and Analysis by Davi Magrin Vieira is a document available to read on EtoBox.

What is Introduction to Hyperreals and Analysis about?

This document discusses the construction of hyperreal numbers through equivalence classes of real number sequences indexed by the natural numbers. It introduces ultrafilters and defines an equivalence relation on real number sequences using an ultrafilter to capture sequences that agree at all but finitely many terms. This allows the definition of arithmetic operations on the resulting hyperreal number system.

Author

Davi Magrin Vieira

Language

EN