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Synopsis
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. Basicwavelettheoryisanaturaltopicforsuchacourse. Byname, 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 suf?ciently 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. These are introduced in the ?rst two sections of chapter 1. In the remainder of chapter 1 we review linear algebra. Students should be familiar with the basic de?nitions in sections 1. 3 and 1. 4. From our viewpoint, linear transformations are the primary object of study; v Preface vi a matrix arises as a realization of a linear transformation. Many students may have been exposed to the material on change of basis in section 1. 4, but may bene?t from seeing it again. In section 1.
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- PublisherSpringer
- Publication date1999
- ISBN 10 0387986391
- ISBN 13 9780387986395
- BindingHardcover
- LanguageEnglish
- Number of pages519
- Rating
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An Introduction to Wavelets Through Linear Algebra (Undergraduate Texts in Mathematics)
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Springer (edition Corrected), 1999
ISBN 10: 0387986391
ISBN 13: 9780387986395
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An Introduction to Wavelets Through Linear Algebra (Undergraduate Texts in Mathematics)
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An Introduction to Wavelets Through Linear Algebra (Undergraduate Texts in Mathematics)
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An introduction to wavelets through linear algebra. Undergraduate texts in mathematics
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New York ; Berlin ; Heidelberg ; Barcelona ; Hong Kong ; London ; Milan ; Paris ; Singapore ; Tokyo : Springer, 1999
ISBN 10: 0387986391
ISBN 13: 9780387986395
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An Introduction to Wavelets Through Linear Algebra (Undergraduate Texts in Mathematics)
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Condition: Very Good. [ No Hassle 30 Day Returns ][ Ships Daily ] [ Underlining/Highlighting: NONE ] [ Writing: NONE ] [ Edition: First ] Publisher: Springer Pub Date: 8/17/2001 Binding: Hardcover Pages: 501 First edition. Seller Inventory # 6890990
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An Introduction to Wavelets Through Linear Algebra (Undergraduate Texts in Mathematics)
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An introduction to wavelets through linear algebra.
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An Introduction to Wavelets Through Linear Algebra (Undergraduate Texts in Mathematics)
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An Introduction to Wavelets Through Linear Algebra (Undergraduate Texts in Mathematics)
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AN INTRODUCTION TO WAVELETS THROUGH LINEAR ALGEBRA
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Dura. Condition: New. Dust Jacket Condition: Nuevo. No Aplica (illustrator). 0. The mathematical theory of wavelets is less than 15 years old, yet already wavelets have become a fundamental tool in many areas of applied mathematics and engineering. This introduction to wavelets assumes a basic background in linear algebra (reviewed in Chapter 1) and real analysis at the undergraduate level. Fourier and wavelet analyses are first presented in the finite-dimensional context, using only linear algebra. Then Fourier series are introduced in order to develop wavelets in the infinite-dimensional, but discrete context. Finally, the text discusses Fourier transform and wavelet theoru on the real line. The computation of the wavelet transform via filter banks is emphasized, and applications to signal compression and numerical differential equations are given. This text is ideal for a topic course for mathematics majors, because it exhibits an emerging mathematical theory with many applications. It also allows engineering students without graduate mathematics prerequisites to gain a practical knoledge of wavelets. 860 gr. Libro. Seller Inventory # 9780387986395LEA19664
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