Full account of Euler's work on continued fractions and orthogonal polynomials; illustrates the significance of his work on mathematics today.
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Sergey Khrushchev is a Professor in the Department of Mathematics at Atilim University, Turkey.
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XVI, 478 Seiten, Schönes Exemplar Sprache: Englisch 8°, roter OU mit Rückentitel, rotes O Ln. Bestandsnummer des Verkäufers 67232
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Zustand: New. Full account of Euler's work on continued fractions and orthogonal polynomials; illustrates the significance of his work on mathematics today. Series: Encyclopedia of Mathematics and Its Applications. Num Pages: 496 pages, 12 b/w illus. 180 exercises. BIC Classification: PBK. Category: (P) Professional & Vocational. Dimension: 228 x 152 x 27. Weight in Grams: 870. . 2008. hardcover. . . . . Bestandsnummer des Verkäufers V9780521854191
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Gebunden. Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book tells how continued fractions, studied even in Ancient Greece, only became a powerful tool in the hands of Euler, how he introduced the idea of orthogonal polynomials and combined the two subjects. The approach of Wallis, Brouncker and Euler is re. Bestandsnummer des Verkäufers 446950651
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Hardcover. Zustand: new. Hardcover. Continued fractions, studied since Ancient Greece, only became a powerful tool in the eighteenth century, in the hands of the great mathematician Euler. This book tells how Euler introduced the idea of orthogonal polynomials and combined the two subjects, and how Brouncker's formula of 1655 can be derived from Euler's efforts in Special Functions and Orthogonal Polynomials. The most interesting applications of this work are discussed, including the great Markoff's Theorem on the Lagrange spectrum, Abel's Theorem on integration in finite terms, Chebyshev's Theory of Orthogonal Polynomials, and very recent advances in Orthogonal Polynomials on the unit circle. As continued fractions become more important again, in part due to their use in finding algorithms in approximation theory, this timely book revives the approach of Wallis, Brouncker and Euler and illustrates the continuing significance of their influence. A translation of Euler's famous paper 'Continued Fractions, Observation' is included as an Addendum. This book tells how continued fractions, studied even in Ancient Greece, only became a powerful tool in the hands of Euler, how he introduced the idea of orthogonal polynomials and combined the two subjects. The approach of Wallis, Brouncker and Euler is revived to illustrate its continuing significance on mathematics today. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Bestandsnummer des Verkäufers 9780521854191
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Zustand: New. Full account of Euler's work on continued fractions and orthogonal polynomials; illustrates the significance of his work on mathematics today. Series: Encyclopedia of Mathematics and Its Applications. Num Pages: 496 pages, 12 b/w illus. 180 exercises. BIC Classification: PBK. Category: (P) Professional & Vocational. Dimension: 228 x 152 x 27. Weight in Grams: 870. . 2008. hardcover. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780521854191
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