LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	515
Title	An Introduction to Wavelets Through Linear Algebra ([EBook] /) / by Michael W. Frazier.
Author	Frazier, Michael W.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : : Springer New York, , 1999.
Physical Details	XVI, 503 p. : online resource.
Series	Undergraduate texts in mathematics 0172-6056
ISBN	9780387226538
Summary Note	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.:
Contents note	Prologue: Compression of the FBI Fingerprint Files -- Background: Complex Numbers and Linear Algebra -- The Discrete Fourier Transform -- Wavelets on ZN -- Wavelets on Z -- Wavelets on R -- Wavelets and Differential Equations.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/b97841
Links to Related Works	Subject References: Algebra . Analysis . Analysis (Mathematics) . Mathematical analysis . Mathematics . Numerical Analysis . Authors: Frazier, Michael W. . Corporate Authors: SpringerLink (Online service) . Series: Undergraduate texts in mathematics . Classification: 515 .

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An Introduction to Wavelets Through Linear Algebra

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