num_pages: 0
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 Mntz 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.
language: English
title: Polynomials and Polynomial Inequalities
publisher: Springer