Michael W. Frazier An Introduction to Wavelets Through Linear Algebra 9781475772999

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Автор: Michael W. Frazier
Название: An Introduction to Wavelets Through Linear Algebra
ISBN: 9781475772999
Издательство: Springer
Классификация:

Алгебра

Основы высшей математики и математический анализ

ISBN-10: 1475772998
Обложка/Формат: Paperback
Страницы: 503
Вес: 0.73 кг.
Дата издания: 23.03.2013
Серия: Undergraduate Texts in Mathematics
Язык: English
Размер: 234 x 156 x 27
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: 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 benet from seeing it again. In section 1.

An Introduction to Wavelets Through Linear Algebra, Michael W. Frazier