Polynomials and Polynomial Inequalities

Released on by Peter Borwein
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  • Polynomials and Polynomial Inequalities Book Detail

  • Author : Peter Borwein
  • Release Date : 1995-09-27
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 508
  • ISBN 13 : 9780387945095
  • File Size : 48,48 MB
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Polynomials and Polynomial Inequalities by Peter Borwein PDF Summary

Book Description: 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.

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Polynomials and Polynomial Inequalities

Polynomials and Polynomial Inequalities

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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

Polynomials and Polynomial Inequalities

Polynomials and Polynomial Inequalities

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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

Positive Polynomials

Positive Polynomials

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Positivity is one of the most basic mathematical concepts, involved in many areas of mathematics (analysis, real algebraic geometry, functional analysis, etc.).