Orthogonal Polynomials and Continued Fractions (Hardcover)
Language: English
Published by Cambridge University Press, Cambridge, 2008
Series: Book 110 of 188 - Encyclopedia of Mathematics and its Applications
- Hardcover
- New
Seller: CitiRetail, Stevenage, United KingdomCitiRetail
AbeBooks seller since June 29, 2022
Condition: New
£ 173.49
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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. …
Seller Inventory # 9780521854191
- Title
- Orthogonal Polynomials and Continued Fractions (Hardcover)
- Author
- Sergey Khrushchev
- Publisher
- Cambridge University Press, Cambridge
- Publication year
- 2008
- Condition
- new
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0521854199
- ISBN 13
- 9780521854191
- Series
- Book 110 of 188: Encyclopedia of Mathematics and its Applications
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CitiRetail
Stevenage, United Kingdom
AbeBooks seller since June 29, 2022
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| Item | 7 to 14 business days | 7 to 60 business days |
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