Abstract
tweedledee: I’ve started to educate myself, Alice, as you suggested. I found a little book in the Red Queen’s library by some chap called Fibonacci. They had very quaint ways of describing themselves in those days: this book was … ‘by Leonardo, the everlasting rabbit breeder of Pisa’.
‘Mathematicians are like lovers… grant a mathematician the least principle, and he will draw from it a consequence, which you must also grant him, and from this consequence another.’
Fontenelle
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Suggestions for Further Reading
C. Cooke, Exploring Graph Theory, Parts 1 and 2, Keele Mathematical Education Publications (1985). These graphs are the vertex, edge variety and not the y = x 2 type! A very good learning-by-doing introduction.
G. Polya, Mathematics and Plausible Reasoning. Volume 1: Induction and Analogy in Mathematics, Princeton University Press (1954). Contains more insight into the topic of this chapter—and much more. A fascinating anthology round the theme of how mathematicians think (or should think !)
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© 1988 John Baylis and Rod Haggarty
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Baylis, J., Haggarty, R. (1988). A Variety of Versions and Uses of Induction—in which another triviality plays the lead. In: Alice in Numberland. Palgrave, London. https://doi.org/10.1007/978-1-349-09532-2_5
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DOI: https://doi.org/10.1007/978-1-349-09532-2_5
Publisher Name: Palgrave, London
Print ISBN: 978-0-333-44242-5
Online ISBN: 978-1-349-09532-2
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