Selected Topics in Approximation and Computation addresses the relationship between modern approximation theory and computational methods. The text is a combination of expositions of basic classical methods of approximation leading to popular splines and new explicit tools of computation, including Sinc methods, elliptic function methods, and positive operator approximation methods. It also provides an excellent summary of worst case analysis in information based complexity. It relates optimal computational methods with the theory of s-numbers and n-widths. It can serve as a text for senior-graduate courses in computer science and applied mathematics, and also as a reference for professionals.
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Editorial Reviews
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". . .well written and well organized. . .It contains many exercises and can be used as a textbook in an advanced course on topics in approximation theory. . . .The book has a nice blend of theory and applications and should make a valuable reference book to researchers as well as teachers."--Mathematical Reviews
"The authors. . .do a fine job of combining their ideas into a coherent text that is a must for researchers and advanced students of the subject." --Computing Reviews
"This book covers basic results of approximation theory. It contains also new developments in the theory of moments and Sinc approximation, n-widths, s-numbers and the relationship of these to computational algorithms .... This important book can be of great interest to graduate students and researchers in approximation, constructive function theory and numerical methods." --Zentralblatt f�r Mathematik und ihre Grenzgebiete
About the Author
Marek Kowalski is at University of Warsaw.
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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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linear and spline algorithms, optimal linear algorithm, multivariate orthogonal polynomials, interpolatory polynomials, arbitrary linear functionals, spline element, trigonometric moment problem, classical moment problems, unitary spaces, uniform approximation, knot sequence, minimal radius, orthonormal polynomials, natural spline, linear information, classical approximation, linear algorithms Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Proof Let, Academic Press, Approximation Theory, Proof Indeed, Prove Corollary, Prove Lemma, Prove Theorem, Remark Let, Numerical Methods Based Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
linear and spline algorithms, optimal linear algorithm, multivariate orthogonal polynomials, interpolatory polynomials, arbitrary linear functionals, spline element, trigonometric moment problem, classical moment problems, unitary spaces, uniform approximation, knot sequence, minimal radius, orthonormal polynomials, natural spline, linear information, classical approximation, linear algorithms Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Proof Let, Academic Press, Approximation Theory, Proof Indeed, Prove Corollary, Prove Lemma, Prove Theorem, Remark Let, Numerical Methods Based Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
Citations (learn more)
5
books
cite this book:
- Optimal Solution of Nonlinear Equations by Krzysztof A. Sikorski on page 19
- Noisy Information and Computational Complexity by Leszek Plaskota in Back Matter
- Approximation Theory, Volume Volume 1 (Journal of Computational and Applied Mathematics, Volume 121, Numbers 1-2, 1 September 2000) by L. Wuytack on page 418
- Complexity and Information (Lezioni Lincee) by J. F. Traub in Back Matter
- Scientific and Engineering Computations for the 21st Century - Methodologies and Applications: Proceedings of the 15th Toyota Conference by M. Mori on page 250
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