Polynomials and Polynomial Inequalities: 161 (Graduate Texts in Mathematics, 161) - Hardcover

Borwein, Peter; Erdelyi, Tamas

 
9780387945095: Polynomials and Polynomial Inequalities: 161 (Graduate Texts in Mathematics, 161)
Hardcover
ISBN 10: 0387945091 ISBN 13: 9780387945095
Verlag: Springer, 1995

Inhaltsangabe

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.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Críticas

"This is a wonderful book which is strongly recommended for use in a class with students who are willing to work on the proofs, rather than to digest fully prepared and worked out proofs and examples." Jnl of Approximation Theory

Reseña del editor

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
1995
Sprache
Englisch
ISBN 10 
0387945091
ISBN 13 
9780387945095
Einband
Tapa dura
Anzahl der Seiten
496
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Hamburg
Deutschland

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Vorgestellte Ausgabe

ISBN 10:  1461269024 ISBN 13:  9781461269021
Verlag: Springer, 2012
Softcover