Sergey Khrushchev - Böcker
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3 produkter
3 produkter
Del 122 - Encyclopedia of Mathematics and its Applications
Orthogonal Polynomials and Continued Fractions
From Euler's Point of View
Inbunden, Engelska, 2008
1 942 kr
Skickas inom 7-10 vardagar
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.
689 kr
Skickas inom 7-10 vardagar
This textbook is intended for students of Mathematical Economics and is based on my lectures on Linear Algebra delivered at Satbayev University in Almaty, Kazakhstan. The program closely aligns with that of the London School of Economics. This observation significantly clarifies many aspects of Linear Algebra.
1 057 kr
Skickas inom 7-10 vardagar
The book also explains the contrasting shapes of demand curves—why a product with many substitutes has a demand curve that is convex downward, whereas a monopoly’s demand curve is convex upward—and shows how the elasticity of demand can be used to achieve maximum revenue, among many other intriguing insights.