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.
General
Imprint: |
Springer Nature Switzerland AG
|
Country of origin: |
Switzerland |
Series: |
Texts in Applied Mathematics, 68 |
Release date: |
2019 |
First published: |
2018 |
Authors: |
Armin Iske
|
Dimensions: |
235 x 155 x 22mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
358 |
Edition: |
1st ed. 2018 |
ISBN-13: |
978-3-03-005227-0 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Numerical analysis
|
LSN: |
3-03-005227-3 |
Barcode: |
9783030052270 |
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