Peter Borwein,
Tamas Erdelyi
Polynomials and Polynomial Inequalities
Gebonden Engels 1995 1995e druk 9780387945095Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9780387945095
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:480
Uitgever:Springer New York
Druk:1995
Lezersrecensies
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Inhoudsopgave
Chaptern 1 Introduction and Basic Properties.- 2 Some Special Polynomials.- 3 Chebyshev and Descartes Systems.- 4 Denseness Questions.- 5 Basic Inequalities.- 6 Inequalities in Müntz 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.
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