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

Borwein, Peter; Erdelyi, Tamas

 
9780387945095: Polynomials and Polynomial Inequalities: 161 (Graduate Texts in Mathematics, 161)

Sinopsis

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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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.

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Otras ediciones populares con el mismo título

9781461269021: Polynomials and Polynomial Inequalities: 161 (Graduate Texts in Mathematics)

Edición Destacada

ISBN 10:  1461269024 ISBN 13:  9781461269021
Editorial: Springer, 2012
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