عنوان

Approximation theory and algorithms for data analysis /

(Number (ISBN

3030052273

(Number (ISBN

3030052281

(Number (ISBN

9783030052270

(Number (ISBN

9783030052287

Erroneous ISBN

9783030052270

Title Proper

Approximation theory and algorithms for data analysis /

General Material Designation

[Book]

First Statement of Responsibility

Armin Iske.

Place of Publication, Distribution, etc.

Cham, Switzerland :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

2018.

Specific Material Designation and Extent of Item

1 online resource (x, 358 pages) :

Other Physical Details

illustrations (some color)

Series Title

Texts in applied mathematics,

Volume Designation

volume 68

ISSN of Series

0939-2475 ;

Text of Note

Includes bibliographical references and indexes.

Text of Note

1 Introduction -- 2 Basic Methods and Numerical Analysis -- 3 Best Approximations -- 4 Euclidean Approximations -- 5 Chebyshev Approximations -- 6 Asymptotic Results -- 7 Basic Concepts of Signal Approximation -- 8 Kernel-Based Approximation -- 9 Computational Topology -- References -- Subject Index -- Name Index.

0

Text of Note

This textbook offers an accessible introduction to the theory and numerics of approximation methods, combining classical topics of approximation with recent advances in mathematical signal processing, and adopting a constructive approach, in which the development of numerical algorithms for data analysis plays an important role. The following topics are covered: * least-squares approximation and regularization methods * interpolation by algebraic and trigonometric polynomials * basic results on best approximations * Euclidean approximation * Chebyshev approximation * asymptotic concepts: error estimates and convergence rates * signal approximation by Fourier and wavelet methods * kernel-based multivariate approximation * approximation methods in computerized tomography Providing numerous supporting examples, graphical illustrations, and carefully selected exercises, this textbook is suitable for introductory courses, seminars, and distance learning programs on approximation for undergraduate students.--

International Standard Book Number

9783030052270

International Standard Book Number

9783030052294

Approximation theory.

Approximation theory.

MAT034000

PBKJ

PBKJ

Number

Edition

Class number

Iske, Armin

Date of Transaction

20200823081342.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y