George M. Phillips

Interpolation and Approximation by Polynomials (eBook, PDF)

• Format: PDF

Produktbeschreibung

This book is aimed at advanced undergraduate students and graduate students and is intended for a course in numerical analysis and approximation theory. The author covers topics such as multivariate interpolation, Peano kernel theory, and the applications of q-integers to approximation theory, the latter of which have never been fully examined in book form before.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 312
• Erscheinungstermin: 6. April 2006
• Englisch
• ISBN-13: 9780387216829
• Artikelnr.: 44177961

Autorenporträt

George Phillips has lectured and researched in mathematics at the University of St. Andrews, Scotland. His most recent book, Two Millenia of Mathematics: From Archimedes to Gauss (Springer 2000), received enthusiastic reviews in the USA, Britain and Canada. He is well known for his clarity of writing and his many contributions as a researcher in approximation theory.

Inhaltsangabe

Univariate Interpolation.- Best Approximation.- Numerical Integration.- Peano's Theorem and Applications.- Multivariate Interpolation.- Splines.- Bernstein Polynomials.- Properties of the q-Integers.

Rezensionen

From the reviews: G.M. Phillips Interpolation and Approximation by Polynomials "A very nicely written textbook to learn about polynomial interpolation and approximation." -ZENTRALBLATT MATH "This book contains selected topics from approximation theory. The author discusses one of 'the most' classic part of approximation theory, the interpolation theory and two related fields ... . The selection of the areas, the lot of worked examples, the exercises and problems at the end of each section and the algorithms included and detailed ... makes this book perfect for everyone's approximation book." (Béla Nagy, Acta Scientiarum Mathematicarum, Vol. 69, 2003) "This is a very nicely written textbook to learn about polynomial interpolation and approximation. ... Throughout the book nice sets of 'Problems' are placed ... ." (Marcel G. de Bruin, Zentralblatt MATH, Vol. 1023, 2003)