Chebyshev Polynomials : From Approximation Theory to Algebra and Number Theory (Pure and Applied Mathematics) （2 SUB）

Chebyshev Polynomials : From Approximation Theory to Algebra and Number Theory (Pure and Applied Mathematics) （2 SUB）

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  • 製本 Hardcover:ハードカバー版／ページ数 250 p.
  • 言語 ENG
  • 商品コード 9780471628965
  • DDC分類 515.55

Full Description


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.

Contents

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.