The Instructor’s Guide to Real Induction
Author:
- 15 March 2019
- journal article
- research article
- Published by Taylor & Francis in Mathematics Magazine
- Vol. 92 (2) , 136-150
Abstract
We introduce real induction, a proof technique analogous to Mathematical Induction but applicable to statements indexed by an interval on the real line. We apply these principles to give streamlined, conceptual proofs of basic results in elementary real analysis and topology. Then we pursue inductive principles in arbitrary ordered sets. Applications are given, e.g., to “real analysis in reverse.”Keywords
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