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A GEOMETRICAL APPROACH TO MATHEMATICAL INDUCTION: PROOFS THAT EXPLAIN

Alfínio Flores

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Abstract

Geometrical representations, of the type called “proofs without words” are used to prove formulas by mathematical induction. These proofs explain the formulas, and give insight into the process of mathematical induction, in addition to being valid proofs.

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What this paper is about

Geometrical representations, of the type called “proofs without words” are used to prove formulas by mathematical induction. These proofs explain the formulas, and give insight into the process of mathematical induction, in addition to being valid proofs.

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Available abstract

Geometrical representations, of the type called “proofs without words” are used to prove formulas by mathematical induction. These proofs explain the formulas, and give insight into the process of mathematical induction, in addition to being valid proofs.

Key concepts: Mathematical proof, Mathematical induction, Mathematics, Calculus (dental), Algebra over a field, Mathematical logic, Pure mathematics, Algorithm

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