Abstract
Continued fractions are one of the most delightful and useful subjects of arithmetic, yet they have been continually neglected by our educational factions. Here we discuss their applications as approximating fractions for rational or irrational numbers and functions, their relations with measure theory (and deterministic chaos!), their use in electrical networks and in solving the “squared square;” and the Fibonacci and Lucas numbers and some of their endless applications.
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© 1984 Springer-Verlag Berlin Heidelberg
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Schroeder, M.R. (1984). Fractions: Continued, Egyptian and Farey. In: Number Theory in Science and Communication. Springer Series in Information Sciences, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02395-2_5
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DOI: https://doi.org/10.1007/978-3-662-02395-2_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-02397-6
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