An Introduction to Wavelets Through Linear Algebra

  • Michael W. Frazier

Part of the Undergraduate Texts in Mathematics book series (UTM)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Michael W. Frazier
    Pages 7-100
  3. Michael W. Frazier
    Pages 101-164
  4. Michael W. Frazier
    Pages 165-263
  5. Michael W. Frazier
    Pages 265-348
  6. Michael W. Frazier
    Pages 349-450
  7. Michael W. Frazier
    Pages 451-483
  8. Back Matter
    Pages 484-503

About this book


Mathematics majors at Michigan State University take a "Capstone" course near the end of their undergraduate careers. The content of this course varies with each offering. Its purpose is to bring together different topics from the undergraduate curriculum and introduce students to a developing area in mathematics. This text was originally written for a Capstone course. Basic wavelet theory is a natural topic for such a course. By name, wavelets date back only to the 1980s. On the boundary between mathematics and engineering, wavelet theory shows students that mathematics research is still thriving, with important applications in areas such as image compression and the numerical solution of differential equations. The author believes that the essentials of wavelet theory are sufficiently elementary to be taught successfully to advanced undergraduates. This text is intended for undergraduates, so only a basic background in linear algebra and analysis is assumed. We do not require familiarity with complex numbers and the roots of unity.


algebra differential equation linear algebra

Authors and affiliations

  • Michael W. Frazier
    • 1
  1. 1.Department of MathematicsMichigan State UniversityEast LansingUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1999
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-85572-6
  • Online ISBN 978-3-642-85570-2
  • Series Print ISSN 0172-6056
  • Series Online ISSN 2197-5604
  • Buy this book on publisher's site
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