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Catalogue Information
Field name	Details
Dewey Class	518
Title	Continued Fractions and Signal Processing ([EBook] /) / by Tomas Sauer.
Author	Sauer, Tomas
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2021.
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2021.
Physical Details	XVII, 263 p. 12 illus., 3 illus. in color. : online resource.
Series	Springer Undergraduate Texts in Mathematics and Technology 1867-5514
ISBN	9783030843601
Summary Note	Besides their well-known value in number theory, continued fractions are also a useful tool in modern numerical applications and computer science. The goal of the book is to revisit the almost forgotten classical theory and to contextualize it for contemporary numerical applications and signal processing, thus enabling students and scientist to apply classical mathematics on recent problems. The books tries to be mostly self-contained and to make the material accessible for all interested readers. This provides a new view from an applied perspective, combining the classical recursive techniques of continued fractions with orthogonal problems, moment problems, Prony’s problem of sparse recovery and the design of stable rational filters, which are all connected by continued fractions.:
Contents note	1. Continued fractions and what can be done with them -- 2. Continued fractions of real numbers -- 3. Rational functions as continued fractions of polynomials -- 4.Continued Fractions and Gauss -- 5. Continued Fractions and Prony -- 6. Digital Signal processing -- 7.Contined Fractions, Hurwitz and Stieltjes.
Mode of acces to digital resource	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-030-84360-1
Links to Related Works	Subject References: Algebraic fields . Applications of Mathematics . Field Theory and Polynomials . Mathematics . Mathematics in Music . Music—Mathematics . Numerical Analysis . Polynomials . Authors: author . Sauer, Tomas . Corporate Authors: SpringerLink (Online service) . Series: Springer Undergraduate Texts in Mathematics and Technology . Classification: 518 .

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Continued Fractions and Signal Processing

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