Polynomials and Polynomial Inequalities (Graduate Texts in Mathematics) - Borwein, Peter

Polynomials and Polynomial Inequalities (Graduate Texts in Mathematics)

Peter Borwein

Yayınevi: Springer

Yayın tarihi: 10/1995

ISBN: 9780387945095

Ciltli | İngilizce | 496 Sayfa | 15,49x23,62x3,3 cm.

Tür: Matematik-İstatistik

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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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