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Table of contents (7 chapters)
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Front Matter
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Back Matter
About this 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.
Reviews
Authors and Affiliations
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Department of Mathematics and Statistics, Simon Fraser University, Burnaby, Canada
Peter Borwein
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Department of Mathematics, Texas A&M University, College Station, USA
Tamás Erdélyi
Bibliographic Information
Book Title: Polynomials and Polynomial Inequalities
Authors: Peter Borwein, Tamás Erdélyi
Series Title: Graduate Texts in Mathematics
DOI: https://doi.org/10.1007/978-1-4612-0793-1
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag New York, Inc. 1995
Hardcover ISBN: 978-0-387-94509-5Published: 27 September 1995
Softcover ISBN: 978-1-4612-6902-1Published: 28 September 2012
eBook ISBN: 978-1-4612-0793-1Published: 06 December 2012
Series ISSN: 0072-5285
Series E-ISSN: 2197-5612
Edition Number: 1
Number of Pages: X, 480