Abstract / Synopsis

Young learners of mathematics share a common experience with the greatest creators of mathematics: ``hitting a wall,'' meaning, first frustration, then struggle, and finally, enlightenment and elation. We tell two intertwined stories. One story is about children, first learning to add, then later learning about negative numbers, still later about complex numbers, and finally about quaternions. Intertwined is the history of the development of number systems -- from Galileo and Bombelli through D'Alembert, Euler and Gauss, up to Hamilton and Cayley.



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© Reuben Hersh

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Creative Commons Attribution 3.0 License
This work is licensed under a Creative Commons Attribution 3.0 License.