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Approximation Theory
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Approximation Theory Papeback - - 6th Edition

by Ole Christensen Khadija Laghrida Christensen

  • New

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Springer , pp. 172 . Papeback. New.
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Details

  • Title Approximation Theory
  • Author Ole Christensen Khadija Laghrida Christensen
  • Binding Papeback
  • Edition number 6th
  • Edition 6
  • Condition New
  • Pages 156
  • Volumes 1
  • Language ENG
  • Publisher Springer
  • Date pp. 172
  • Illustrated Yes
  • Features Bibliography, Illustrated, Index
  • Bookseller's Inventory # 6303743
  • ISBN 9780817636005 / 0817636005
  • Weight 0.66 lbs (0.30 kg)
  • Dimensions 9.14 x 6.26 x 0.43 in (23.22 x 15.90 x 1.09 cm)
  • Library of Congress subjects Approximation theory
  • Library of Congress Catalog Number 2004043741
  • Dewey Decimal Code 511.4

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From the publisher

This concisely written book gives an elementary introduction to a classical area of mathematics--approximation theory--in a way that naturally leads to the modern field of wavelets. The exposition, driven by ideas rather than technical details and proofs, demonstrates the dynamic nature of mathematics and the influence of classical disciplines on many areas of modern mathematics and applications. Included are classical, illustrative examples and constructions, exercises, and a discussion of the role of wavelets to areas such as digital signal processing and data compression.

One of the few books to describe wavelets in words rather than mathematical symbols, the work will be an excellent textbook or self-study reference for advanced undergraduate/beginning graduate students and instructors in pure and applied mathematics, mathematical physics, and engineering. Readers will find motivation and background material pointing toward advanced literature and research topics in pure and applied harmonic analysis and related areas.

First line

In many applications of mathematics, we face functions which are far more complicated than the standard functions from classical analysis.

From the rear cover

This concisely written book gives an elementary introduction to a classical area of mathematics--approximation theory--in a way that naturally leads to the modern field of wavelets. The exposition, driven by ideas rather than technical details and proofs, demonstrates the dynamic nature of mathematics and the influence of classical disciplines on many areas of modern mathematics and applications.

Key features and topics:

* Description of wavelets in words rather than mathematical symbols

* Elementary introduction to approximation using polynomials (Weierstrass' and Taylor's theorems)

* Introduction to infinite series, with emphasis on approximation-theoretic aspects

* Introduction to Fourier analysis

* Numerous classical, illustrative examples and constructions

* Discussion of the role of wavelets in digital signal processing and data compression, such as the FBI's use of wavelets to store fingerprints

* Minimal prerequisites: elementary calculus

* Exercises that may be used in undergraduate and graduate courses on infinite series and Fourier series

Approximation Theory: From Taylor Polynomials to Wavelets will be an excellent textbook or self-study reference for students and instructors in pure and applied mathematics, mathematical physics, and engineering. Readers will find motivation and background material pointing toward advanced literature and research topics in pure and applied harmonic analysis and related areas.

About the author

Ole Christensen is the author of An Introduction to Frames and Riesz Bases (0-8176-4295-1).

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