Mathematics of Approximation: 1 (Mathematics Textbooks for Science and Engineering) - Softcover

De Villiers, Johan

 
9789462390461: Mathematics of Approximation: 1 (Mathematics Textbooks for Science and Engineering)
Softcover
ISBN 10: 9462390460 ISBN 13: 9789462390461
Verlag: Atlantis Press, 2015

Inhaltsangabe

The approximation of a continuous function by either an algebraic polynomial, a trigonometric polynomial, or a spline, is an important issue in application areas like computer-aided geometric design and signal analysis. This book is an introduction to the mathematical analysis of such approximation, and, with the prerequisites of only calculus and linear algebra, the material is targeted at senior undergraduate level, with a treatment that is both rigorous and self-contained. The topics include polynomial interpolation; Bernstein polynomials and the Weierstrass theorem; best approximations in the general setting of normed linear spaces and inner product spaces; best uniform polynomial approximation; orthogonal polynomials; Newton-Cotes , Gauss and Clenshaw-Curtis quadrature; the Euler-Maclaurin formula ; approximation of periodic functions; the uniform convergence of Fourier series; spline approximation,with an extensive treatment of local spline interpolation,and its application in quadrature. Exercises are provided at the end of each chapter

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Críticas

From the reviews:

“The current book presents a compilation of lecture notes delivered by Professor Johan de Villiers at Stellen Bosch University, South Africa. This hardbound treatise titled Mathematics of approximation is a reader-friendly volume spanning over 425 pages. ... The content is self-contained and can be used for both classroom teaching and self-study. ... The theory is illustrated by a number of solved examples. This is one of the many graces of the book.” (Sarjoo Prasad Yadav, Mathematical Reviews, February, 2013)

Reseña del editor

The approximation of a continuous function by either an algebraic polynomial, a trigonometric polynomial, or a spline, is an important issue in application areas like computer-aided geometric design and signal analysis. This book is an introduction to the mathematical analysis of such approximation, and, with the prerequisites of only calculus and linear algebra, the material is targeted at senior undergraduate level, with a treatment that is both rigorous and self-contained. The topics include polynomial interpolation; Bernstein polynomials and the Weierstrass theorem; best approximations in the general setting of normed linear spaces and inner product spaces; best uniform polynomial approximation; orthogonal polynomials; Newton-Cotes , Gauss and Clenshaw-Curtis quadrature; the Euler-Maclaurin formula ; approximation of periodic functions; the uniform convergence of Fourier series; spline approximation,with an extensive treatment of local spline interpolation,and its application in quadrature. Exercises are provided at the end of each chapter

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Atlantis Press
Erscheinungsdatum
2015
Sprache
Englisch
ISBN 10 
9462390460
ISBN 13 
9789462390461
Einband
Tapa blanda
Anzahl der Seiten
428
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
CMN Printpool Inh. Mathis Neumann
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

Friedrich-Karl-Str. 9
Hamburg
Deutschland

Weitere beliebte Ausgaben desselben Titels

9789491216497: Mathematics of Approximation: 1 (Mathematics Textbooks for Science and Engineering)

Vorgestellte Ausgabe

ISBN 10:  949121649X ISBN 13:  9789491216497
Verlag: Atlantis Press, 2012
Hardcover