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Polynomials and Polynomial Inequalities

Peter Borwein, Tamas Erdelyi
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      After an introduction to the geometry of polynomials and a discussion of refinements of the Fundamental Theorem of Algebra, the book turns to a consideration of various special polynomials. Chebyshev and Descartes systems are then introduced, and Müntz systems and rational systems are examined in detail. Subsequent chapters discuss denseness questions and the inequalities satisfied by polynomials and rational functions. Appendices on algorithms and computational concerns, on the interpolation theorem, and on orthogonality and irrationality round off the text. The book is self-contained and assumes at most a senior-undergraduate familiarity with real and complex analysis.
      Format: CONTRIBUTORS: Peter Borwein, Tamas Erdelyi EAN: 9780387945095 COUNTRY: United States PAGES: WEIGHT: 1920 g HEIGHT: 235 cm
      PUBLISHED BY: Springer-Verlag New York Inc. DATE PUBLISHED: 1995-09-27 CITY: GENRE: MATHEMATICS / Algebra / General, MATHEMATICS / Mathematical Analysis WIDTH: 155 cm SPINE:

      Book Themes:

      Algebra, Calculus and mathematical analysis

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      After an introduction to the geometry of polynomials and a discussion of refinements of the Fundamental Theorem of Algebra, the book turns to a consideration of various special polynomials. Chebyshev and Descartes systems are then introduced, and Müntz systems and rational systems are examined in detail. Subsequent chapters discuss denseness questions and the inequalities satisfied by polynomials and rational functions. Appendices on algorithms and computational concerns, on the interpolation theorem, and on orthogonality and irrationality round off the text. The book is self-contained and assumes at most a senior-undergraduate familiarity with real and complex analysis.
      Format: CONTRIBUTORS: Peter Borwein, Tamas Erdelyi EAN: 9780387945095 COUNTRY: United States PAGES: WEIGHT: 1920 g HEIGHT: 235 cm
      PUBLISHED BY: Springer-Verlag New York Inc. DATE PUBLISHED: 1995-09-27 CITY: GENRE: MATHEMATICS / Algebra / General, MATHEMATICS / Mathematical Analysis WIDTH: 155 cm SPINE:

      Book Themes:

      Algebra, Calculus and mathematical analysis

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