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Interpolation and approximation by polynomials

紀錄類型:	書目-電子資源 : 單行本
正題名/作者:	Interpolation and approximation by polynomials/ George M. Phillips.
作者:	Phillips, G. M.
出版者:	New York :Springer,2003.
面頁冊數:	1 online resource (xi, 312 pages) :illustrations.
標題:	Numerical analysis. -
電子資源:	Click here for online access to this book (查閱全文) (EBSCO eBook)
ISBN:	0387216820 (electronic bk.)
ISBN:	9780387216829 (electronic bk.)

Interpolation and approximation by polynomials
Phillips, G. M.

Interpolation and approximation by polynomials[electronic resource] /George M. Phillips. - New York :Springer,2003. - 1 online resource (xi, 312 pages) :illustrations. - CMS books in mathematics ;14. - CMS books in mathematics ;14..

Includes bibliographical references (p. [305]-308) and index.

Cover -- Preface -- Table of Contents -- 1. Univariate Interpolation -- 2. Best Approximation -- 3. Numerical Integration -- 4. Peano's Theorem and Applications -- 5. Multivariate Interpolation -- 6. Splines -- 7. Bernstein Polynomials -- 8. Properties of the q-Integers -- References.

This book covers the main topics concerned with interpolation and approximation by polynomials. This subject can be traced back to the precalculus era but has enjoyed most of its growth and development since the end of the nineteenth century and is still a lively and flourishing part of mathematics. In addition to coverage of univariate interpolation and approximation, the text includes material on multivariate interpolation and multivariate numerical integration, a generalization of the Bernstein polynomials that has not previously appeared in book form, and a greater coverage of Peano kernel theory than is found in most textbooks. There are many worked examples and each section ends with a number of carefully selected problems that extend the student's understanding of the text. 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.

ISBN: 0387216820 (electronic bk.)

Source: EBL219471eBook Libraryhttp://www.eblib.comSubjects--Topical Terms:

147049
Numerical analysis.
Index Terms--Genre/Form:

172687
Electronic books.

LC Class. No.: QA297 / .P518 2003eb

Dewey Class. No.: 519.4

Interpolation and approximation by polynomials
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