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Jones W.B., Thron W.J. Continued Fractions: Analytic Theory and Applications

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Jones W.B., Thron W.J. Continued Fractions: Analytic Theory and Applications
Cambridge University Press, 1984. — xxx, 428 p. — (Encyclopedia of Mathematics and its Applications. Vol. 11). — ISBN 978-0-521-30231-9, 978-0-521-10152-3.
This is an exposition of the analytic theory of continued fractions in the complex domain with emphasis on applications and computational methods.
The tendency toward a logical scholasticism in some circles of the contemporary mathematical world to which Henrici is addressing his analysis has a far more complex relation to mathematical history than these terms of opposition between algorithmic and dialectical allow. What seems certain is that the new phase of intensified involvement of mathematics in the sciences, natural and social, based in part on the role of electronic computers, promises a new revival of both algorithmic and conceptual mathematics based on the increasingly mathematical character of all spheres of human knowledge and practice in the world of the present and the future.
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