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Mathematical Induction

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A Readable Introduction to Real Mathematics

Abstract

Mathematical induction is a technique that is useful for proving many theorems. We describe this technique in detail, and give a number of applications of it. We also explain the well-ordering principle, and show that it implies the principle of mathematical induction.

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Rosenthal, D., Rosenthal, D., Rosenthal, P. (2018). Mathematical Induction. In: A Readable Introduction to Real Mathematics. Undergraduate Texts in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-00632-7_2

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