期刊全称 | An Introduction to Wavelets Through Linear Algebra | 影响因子2023 | Michael W. Frazier | 视频video | | 发行地址 | This introduction to wavelets thoroughly covers the basics of the theory Shows non-trivial mathematics leading to natural and important applications, such as video compression and numerical solution o | 学科分类 | Undergraduate Texts in Mathematics | 图书封面 |  | 影响因子 | 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? | Pindex | Textbook 1999 |
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