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- catalog abstract "This text was originally written for a "Capstone" course at Michigan State University. A Capstone course is intended for undergraduate mathematics majors, as one of the final courses taken in their undergraduate curriculum. Its purpose is to bring together different topics covered in the undergraduate curriculum and introduce students to current developments in mathematics and their applications. Basic wavelet theory seems to be a perfect topic for such a course. As a subject, it dates back only to 1985. Since then there has been an explosion of wavelet research, both pure and applied. Wavelet theory is on the boundary between mathematics and engineering. In particular it is a good topic for demonstrating to students that mathematics research is thriving in the modern day: Students can see non-trivial mathematics ideas leading to natural and important applications, such as video compression and the numerical solution of differential equations. The only prerequisites assumed are a basic linear algebra background and a bit of analysis background. This text is intended to be as elementary an introduction to wavelet theory as possible. It is not intended as a thorough or authoritative reference on wavelet theory.".
- catalog contributor b11695765.
- catalog created "c1999.".
- catalog date "1999".
- catalog date "c1999.".
- catalog dateCopyrighted "c1999.".
- catalog description "Includes bibliographical references (p. 484-490) and index.".
- catalog description "Preface -- Acknowledgements -- Prologue: Compression of the FBI Fingerprint Files -- Background: Complex Numbers and Linear Algebra -- The Discrete Fourier Transform -- Wavelets on ZN -- Wavelets on R -- Wavelets and Differential Equations -- Bibliography -- Index.".
- catalog description "This text was originally written for a "Capstone" course at Michigan State University. A Capstone course is intended for undergraduate mathematics majors, as one of the final courses taken in their undergraduate curriculum. Its purpose is to bring together different topics covered in the undergraduate curriculum and introduce students to current developments in mathematics and their applications. Basic wavelet theory seems to be a perfect topic for such a course. As a subject, it dates back only to 1985. Since then there has been an explosion of wavelet research, both pure and applied. Wavelet theory is on the boundary between mathematics and engineering. In particular it is a good topic for demonstrating to students that mathematics research is thriving in the modern day: Students can see non-trivial mathematics ideas leading to natural and important applications, such as video compression and the numerical solution of differential equations. The only prerequisites assumed are a basic linear algebra background and a bit of analysis background. This text is intended to be as elementary an introduction to wavelet theory as possible. It is not intended as a thorough or authoritative reference on wavelet theory.".
- catalog extent "xvi, 501 p. ;".
- catalog identifier "0387986391 (hardcover)".
- catalog isPartOf "Undergraduate texts in mathematics".
- catalog issued "1999".
- catalog issued "c1999.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "515/.2433 21".
- catalog subject "Algebras, Linear.".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Mathematics.".
- catalog subject "Numerical analysis.".
- catalog subject "QA403.3 .F73 1999".
- catalog subject "Wavelets (Mathematics)".
- catalog tableOfContents "Preface -- Acknowledgements -- Prologue: Compression of the FBI Fingerprint Files -- Background: Complex Numbers and Linear Algebra -- The Discrete Fourier Transform -- Wavelets on ZN -- Wavelets on R -- Wavelets and Differential Equations -- Bibliography -- Index.".
- catalog title "An introduction to wavelets through linear algebra / Michael W. Frazier.".
- catalog type "text".