ENGLISH

An Introduction to Wavelets Through Linear Algebra

By Michael W. Frazier (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2000
ISBN
978-3-642-85572-6, 978-3-642-85570-2
DOI
10.1007/978-3-642-85570-2
Language
english
Format
PDF
Filesize
19 MB (20012666 bytes)
Series
Undergraduate Texts in Mathematics
Edition
1
Pages
503\517
Time added
2014-01-18 08:00:00
Analysis; Numerical Analysis

Description

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.

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