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 conclude the book.
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 conclude the book.
Polynomials and Polynomial Inequalities
480
Polynomials and Polynomial Inequalities
480Paperback(Softcover reprint of the original 1st ed. 1995)
Product Details
| ISBN-13: | 9781461269021 |
|---|---|
| Publisher: | Springer New York |
| Publication date: | 09/28/2012 |
| Series: | Graduate Texts in Mathematics , #161 |
| Edition description: | Softcover reprint of the original 1st ed. 1995 |
| Pages: | 480 |
| Product dimensions: | 6.10(w) x 9.25(h) x 0.04(d) |