ENGLISH

Polynomials and Polynomial Inequalities

By Peter Borwein , Tamas Erdelyi

Book information

Publisher
Springer
Year
1995
ISBN
0387945091, 9780387945095
LCC
QA241 .B775 1995
Language
english
Format
PDF
Filesize
2 MB (2507073 bytes)
Series
Graduate Texts in Mathematics, 161
Edition
1
Pages
487\487
Time added
2011-06-04 13:46:07

Description

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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