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Matrices and Transformations

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Dynamics of Number Systems

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 59))

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Abstract

As we have seen in Chap. 1, the digits of a number system correspond to transformations which are in all cases Möbius transformations of the form \(M(x) = \frac{ax+b}{cx+d}\).

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References

  1. Coxeter, H.S.M.: Projective Geometry. Springer, Berlin (2003)

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  2. Silverman, R.A.: Introductory Complex Analysis. Dover Publications, New York (1972)

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  3. Beardon, A.F.: The Geometry of Discrete Groups. Springer, Berlin (1995)

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Correspondence to Petr Kůrka .

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Kůrka, P. (2016). Matrices and Transformations. In: Dynamics of Number Systems. Studies in Systems, Decision and Control, vol 59. Springer, Cham. https://doi.org/10.1007/978-3-319-33367-0_3

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  • DOI: https://doi.org/10.1007/978-3-319-33367-0_3

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  • Publisher Name: Springer, Cham

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