The Instructor's Guide to Real Induction
History and Overview
2012-08-07 v1
Abstract
We introduce real induction, a proof technique analogous to mathematical induction but applicable to statements indexed by an interval on the real line. More generally we give an inductive principle applicable in any Dedekind complete linearly ordered set. Real and ordered induction is then applied to give streamlined, conceptual proofs of basic results in honors calculus, elementary real analysis and topology.
Keywords
Cite
@article{arxiv.1208.0973,
title = {The Instructor's Guide to Real Induction},
author = {Pete L. Clark},
journal= {arXiv preprint arXiv:1208.0973},
year = {2012}
}
Comments
10 pages