Abstract
Mathematical induction is one of the most important methods for proving statements of the form “For all natural numbers . . . ”. At its heart it is another instance of the idea of recursion: reduce the problem to a smaller problem of the same kind. Mathematical induction implements this idea for proofs, while recurrence relations are used in problems where you want to determine some quantity.
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Grieser, D. (2018). Mathematical induction. In: Exploring Mathematics. Springer Undergraduate Mathematics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-90321-7_3
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DOI: https://doi.org/10.1007/978-3-319-90321-7_3
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