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Approximation Theory From Taylor Polynom

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Approximation Theory From Taylor Polynom Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

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.  Featuring classical, illustrative examples and constructions, exercises, and a discussion of the role of wavelets to areas such as digital signal processing and data compression, the book is one of the few to describe wavelets in words rather than mathematical symbols.

Synopsis:

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.
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).

Table of Contents

Preface.- Approximation with Polynomials.- Infinite Series.- Fourier Analysis.- Wavelets and Applications.- Wavelets and their Mathematical Properties.- Appendix A.- Appendix B.- Appendix C.- Appendix D.- References.- Index

Product Details

ISBN:
9780817636005
Author:
Christensen, Ole
Publisher:
Birkhauser
Author:
Christensen, Khadija L.
Author:
Christensen, O.
Author:
Christensen, OLE
Author:
Christensen, Khadija Laghrida
Location:
Boston, MA
Subject:
Engineering - Electrical & Electronic
Subject:
Mathematical Analysis
Subject:
Applied
Subject:
Approximation theory
Subject:
Electricity
Subject:
Mathematics-Applied
Subject:
Approximations and Expansions
Subject:
abstract harmonic analysis
Subject:
Fourier analysis
Subject:
Functional Analysis
Subject:
APPLICATIONS OF MATHEMATICS
Subject:
Signal, Image and Speech Processing
Subject:
Mathematics
Subject:
The Arts
Subject:
mathematics and statistics
Subject:
Harmonic analysis
Copyright:
Edition Number:
6
Edition Description:
2004., Corr. 2n
Series:
Applied and numerical harmonic analysis
Series Volume:
3224
Publication Date:
September 2005
Binding:
TRADE PAPER
Language:
English
Illustrations:
Y
Pages:
167
Dimensions:
235 x 155 mm 260 gr

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Approximation Theory From Taylor Polynom New Trade Paper
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Product details 167 pages Birkhauser - English 9780817636005 Reviews:
"Synopsis" by , 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.  Featuring classical, illustrative examples and constructions, exercises, and a discussion of the role of wavelets to areas such as digital signal processing and data compression, the book is one of the few to describe wavelets in words rather than mathematical symbols.
"Synopsis" by , 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.
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.
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