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2004•Journal of computing sciences in collegesRequires access

Studying mathematical induction and recursive programming together

Keith Brandt, Margaret F. Richey

Open publisher page 3 citations

Abstract

Mathematical induction is a proof technique used throughout math-ematics, and recursion is a programming concept frequently used in computer science. This note will explore the parallel between induction proofs and recursive programs by providing several example problems that lead to an induction proof and a corresponding recursive program. We feel that students who are exposed to this parallel will gain a deeper understanding of both topics.

About this research paper

What this paper is about

Mathematical induction is a proof technique used throughout math-ematics, and recursion is a programming concept frequently used in computer science. This note will explore the parallel between induction proofs and recursive programs by providing several example problems that lead to an induction proof and a corresponding recursive program. We feel that students who are exposed to this parallel will gain a deeper understanding of both topics.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Mathematical induction is a proof technique used throughout math-ematics, and recursion is a programming concept frequently used in computer science. This note will explore the parallel between induction proofs and recursive programs by providing several example problems that lead to an induction proof and a corresponding recursive program. We feel that students who are exposed to this parallel will gain a deeper understanding of both topics.

Key concepts: Recursion (computer science), Mathematical induction, Mathematical proof, Computer science, Mutual recursion, Theoretical computer science, Programming language, Calculus (dental)

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