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Title: Ten Lectures on Wavelets (CBMS-NSF Regional Conference Series in Applied Mathematics)
ISBN: 0898712742
Author: Ingrid Daubechies
Paperback: 377 pages;

Publisher: SIAM: Society for Industrial and Applied Mathematics; 1 edition (June 1, 1992)

Summary:
Wavelets are a mathematical development that may revolutionize the world of information storage and retrieval according to many experts. They are a fairly simple mathematical tool now being applied to the compression of data–such as fingerprints, weather satellite photographs, and medical x-rays–that were previously thought to be impossible to condense without losing crucial details.
This monograph contains 10 lectures presented by Dr. Daubechies as the principal speaker at the 1990 CBMS-NSF Conference on Wavelets and Applications. The author has worked on several aspects of the wavelet transform and has developed a collection of wavelets that are remarkably efficient.
The opening chapter provides an overview of the main problems presented in the book. Following chapters discuss the theoretical and practical aspects of wavelet theory, including wavelet transforms, orthonormal bases of wavelets, and characterization of functional spaces by means of wavelets. The last chapter presents several topics under active research, as multidimensional wavelets, wavelet packet bases, and a construction of wavelets tailored to decompose functions defined in a finite interval. Because of their interdisciplinary origins, wavelets appeal to scientists and engineers of many different backgrounds.

[美]Ingrid Daubechies 原著《小波十讲》因杰出贡献和优美风格 荣获1994年Leroy P．Steele奖。该书印数超过15000册，风行全世界， 这在学术著作中是极为罕见的。 “该书原作者Daubechies是小波分析理论的主要创始人之一，书中用精辟的语言描述了小波分析的主要原理和方法，可作为小波课程的精读教材；该书读 起来极为有趣，如同阅读一本优秀的俄罗斯长篇小说：Daubechies十分巧妙地组织素材，在许多地方给出说明和注释，有效化解难点：本书可满足个人阅 读及大学生、研究生、大学教师、科研人员等多方面的需求，并将成为经典读物。” F.Alberto Grtinbaum，Science，August 7，1992 “本书既是一本关于小波分析的导论性教材，又是一本全面总结和反映该领域最新研究成果的学术专著。书中给出了大量实践例题，描述了小波分析的许多应用，如 信号处理、图像编码、数值分析等。” Albert Cohen(Pal*IS)，Mathematical Reviews，Issue93e “这是一本由小波理论主要创始人撰写的优秀读物，书中内容是小波分析之物理原理、数学方法、工程分析的重要组成部分。该书文笔犀利、推理严谨、由浅人深、 应用广泛，对数学家、物理学家、工程技术人员和一切对小波分析应用感兴趣的人员均具有重要的参考价值。” Nieolae Popa，Romanian Journal of Pure and Applied Mathematics， V01．16,Nos．1-2,1996 Ingrid Daubechies是普林斯顿大学(Princeton University)数学系和应用数学与计算数学研究中心教授。她曾在布鲁塞尔(Brussels)的佛雷大学(Free University)理论物理系工作，后任著名的AT&T贝尔实验室高级技术员，是卢特格大学(Rutgers University)数学系的教授(Full Professor)。她曾获得1997年Ruth Lyttle Satter数学奖。她频繁应邀到世界各地作学术报告，发表了大量学术论文，出版了许多学术著作.

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