# The Instructor's Guide to Real Induction

• Published in 2012
In the collections
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.

## Other information

key
TheInstructorsGuidetoRealInduction
type
article
2019-03-02
date_published
2012-02-02

### BibTeX entry

@article{TheInstructorsGuidetoRealInduction,
key = {TheInstructorsGuidetoRealInduction},
type = {article},
title = {The Instructor's Guide to Real Induction},
author = {Pete L. Clark},
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.},
comment = {},
}