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Orthogonal Polynomials and Continued Fractions: From Euler's Point of View (Encyclopedia of Mathematics and its Applications, Series Number 122) - Hardcover
Synopsis
This new and exciting historical book tells how Euler introduced the idea of orthogonal polynomials and how he combined them with continued fractions, as well as 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.
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Book Description
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.
About the Author
Sergey Khrushchev is a Professor in the Department of Mathematics at Atilim University, Turkey.
"About this title" may belong to another edition of this title.
- PublisherCambridge University Press
- Publication date2008
- ISBN 10 0521854199
- ISBN 13 9780521854191
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages496
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Orthogonal Polynomials and Continued Fractions : From Eulers Point of View (IN ENGLISCHER SPRACHE),
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Orthogonal Polynomials and Continued Fractions: From Euler's Point of View (Encyclopedia of Mathematics and its Applications, Series Number 122)
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ISBN 13: 9780521854191
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Orthogonal Polynomials and Continued Fractions: From Euler's Point of View (Encyclopedia of Mathematics and its Applications, Series Number 122)
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Orthogonal Polynomials and Continued Fractions: From Euler's Point of View
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Orthogonal Polynomials and Continued Fractions: From Euler's Point of View (Encyclopedia of Mathematics and its Applications, Series Number 122)
Published by
Cambridge University Press, 2008
ISBN 10: 0521854199
ISBN 13: 9780521854191
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Orthogonal Polynomials and Continued Fractions: From Euler's Point of View (Hardcover)
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ISBN 13: 9780521854191
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Hardcover. Condition: 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521854191
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Orthogonal Polynomials and Continued Fractions: From Euler's Point of View
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Orthogonal Polynomials and Continued Fractions
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Gebunden. Condition: 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. Seller Inventory # 446950651
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Orthogonal Polynomials and Continued Fractions : From Euler's Point of View
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Full account of Euler's work on continued fractions and orthogonal polynomials; illustrates the significance of his work on mathematics today. Seller Inventory # 9780521854191
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Orthogonal Polynomials and Continued Fractions (From Euler*s Point of View)
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