Mathematics of Approximation (inbunden)
Format
Inbunden (Hardback)
Språk
Engelska
Antal sidor
406
Utgivningsdatum
2012-07-01
Upplaga
2012 ed.
Förlag
Atlantis Press (Zeger Karssen)
Illustratör/Fotograf
20 schwarz-weiße Tabellen 2 schwarz-weiße Abbildungen
Illustrationer
20 Tables, black and white; XXI, 406 p.
Dimensioner
231 x 155 x 28 mm
Vikt
704 g
Antal komponenter
1
Komponenter
1 Hardback
ISBN
9789491216497
Mathematics of Approximation (inbunden)

Mathematics of Approximation

Inbunden Engelska, 2012-07-01
769
  • Skickas inom 3-6 vardagar.
  • Gratis frakt inom Sverige över 159 kr för privatpersoner.
Finns även som
Visa alla 2 format & utgåvor
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
Visa hela texten

Passar bra ihop

  1. Mathematics of Approximation
  2. +
  3. The Shaping of Ambient Intelligence and the Internet of Things

De som köpt den här boken har ofta också köpt The Shaping of Ambient Intelligence and the Int... av Simon Elias Bibri (inbunden).

Köp båda 2 för 1768 kr

Kundrecensioner

Har du läst boken? Sätt ditt betyg »

Fler böcker av Johan De Villiers

  • Wavelet Subdivision Methods

    Charles Chui, Johan De Villiers

    Prevalent in animation movies and interactive games, subdivision methods allow users to design and implement simple but efficient schemes for rendering curves and surfaces. Adding to the current subdivision toolbox, Wavelet Subdivision Methods: GE...

  • Once Upon a Chicken Pie and Other Food Tales

    Johan De Villiers

    Definitely a cookbook with a difference, Once Upon a Chicken Pie and Other Food Tales comprises a collection of stories centred around the food, personalities and occasions that inspired the featured recipes. It is based on the travels and experie...

Recensioner i media

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)

Innehållsförteckning

Polynomial Interpolation Formulas.- Error Analysis For Polynomial Interpolation.- Polynomial Uniform Convergence.- Best Approximation.- Approximation Operators.- Best Uniform Polynomial Approximation.- Orthogonality.- Interpolatory Quadrature.- Approximation of Periodic Functions.- Spline Approximation.