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Graduate Texts in Mathematics

Analysis and Probability

Wavelets, Signals, Fractals

Authors: Jorgensen, Palle E.T.

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  • ISBN 978-0-387-33082-2
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Hardcover $84.99
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Softcover $54.95
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About this Textbook

This book, combining analysis and tools from mathematical probability, focuses on a systematic and novel presentation of recent trends in pure and applied mathematics: the emergence of three fields, wavelets, signals and fractals. The unity of basis constructions and their expansions is emphasized as the starting point for the development of bases that are computationally efficient for use in several areas from wavelets to fractals.

The book brings together tools from engineering and math, especially from signal- and image processing, and from harmonic analysis and operator theory. The presentation is aimed at graduate students, as well as users from a diverse spectrum of applications.

Key features:

 • A hands-on approach for students, including tutorials and numerous exercises;

 • Excellent motivation throughout;

 • New pedagogical features: glossary of terms, their use in mathematics and in engineering, help for cross-audiences, image processing, visual presentation of key algorithms, structure and geometry of big matrix computations, explanation of uses of the theory in applications outside of mathematics;

 • Includes more than 50 figures with captions, illustrating the main ideas, plus engineering diagrams, graphic renditions of algorithms, and separate illustrations;

 • Separate sections in the book explain engineering terms to mathematicians, and operator theory to engineers;

 • Each chapter concludes with a helpful guide to the literature allowing students to follow up on the topics in the book.

Palle E.T. Jorgensen is a Professor of Mathematics at the University of Iowa. This book is based in part on interdisciplinary courses that he has taught over the last several years, and on his work with his current and former students. His most recent book was written jointly with Ola Bratteli and is entitled Wavelets through a Looking Glass, ©2002 Birkhäuser Boston.

Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook $39.99
price for USA in USD
  • ISBN 978-0-387-33082-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $84.99
price for USA in USD
Softcover $54.95
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Analysis and Probability
Book Subtitle
Wavelets, Signals, Fractals
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
234
Copyright
2006
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-33082-2
DOI
10.1007/978-0-387-33082-2
Hardcover ISBN
978-0-387-29519-0
Softcover ISBN
978-1-4419-2126-0
Series ISSN
0072-5285
Edition Number
1
Number of Pages
XLVIII, 280
Topics