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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 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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"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
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- PublisherSpringer
- Publication date1995
- ISBN 10 0387945091
- ISBN 13 9780387945095
- BindingHardcover
- Number of pages490
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Polynomials and Polynomial Inequalities (Graduate Texts in Mathematics (161)) by Borwein, Peter, Erdelyi, Tamas [Hardcover ]
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Polynomials and Polynomial Inequalities (Graduate Texts in Mathematics, 161)
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Polynomials and Polynomial Inequalities
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Book Description Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 496 pp. Englisch. Seller Inventory # 9780387945095
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Polynomials and Polynomial Inequalities
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