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Polynomials And Polynomial Inequalities 1995 Edition at Meripustak

Polynomials And Polynomial Inequalities 1995 Edition

Books from same Author: Peter Borwein Tamas Erdelyi

Books from same Publisher: Springer

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    • General Information  
    Author(s)Peter Borwein Tamas Erdelyi
    PublisherSpringer
    ISBN9780387945095
    Pages480
    BindingHardback
    LanguageEnglish
    Publish YearDecember 1995

    Description

    Springer Polynomials And Polynomial Inequalities 1995 Edition by Peter Borwein Tamas Erdelyi

    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 Muntz 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. Table of contents : Chaptern 1 Introduction and Basic Properties.- 2 Some Special Polynomials.- 3 Chebyshev and Descartes Systems.- 4 Denseness Questions.- 5 Basic Inequalities.- 6 Inequalities in Muntz Spaces.- Inequalities for Rational Function Spaces.- Appendix A1 Algorithms and Computational Concerns.- Appendix A2 Orthogonality and Irrationality.- Appendix A3 An Interpolation Theorem.- Appendix A5 Inequalities for Polynomials with Constraints.- Notation.