Chebyshev polynomials : from approximation theory to algebra and number theory
著者
書誌事項
Chebyshev polynomials : from approximation theory to algebra and number theory
（Pure and applied mathematics）
J. Wiley, c1990
2nd ed
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注記
"A Wiley-Interscience publication"
Includes bibliographical references and index
内容説明・目次
内容説明
This text has been revised due to renewed interest in the topic because of its use as a tool in numerical analysis and to computer scientists working in approximation theory. The following new material is included: a chapter on algebraic and number-theoretic properties of the Chebyshev polynomials; a chapter describing the historical role of the Chebyshev polynomials in the design of linkages, properties of the graphs of the Chebyshev polynomials, and multivariate generalizations of the polynomials.
目次
- Definitions and Some Elementary Properties
- Extremal Properties
- Expansion of Functions in Series of Chebyshev Polynomials
- Iterative Properties and Some Remarks About the Graphs of the Tn
- Some Algebraic and Number Theoretic Properties of the Chebyshev Polynomials
- References
- Glossary of Symbols
- Index.
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