作者:佚名
| 发表日期:2007-10-01
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新书介绍: Analysis and Probability: Wavelets, Signals, Fractals.
Date: Mon, 21 Nov 2005 09:41:18 -0500 (EST)
Subject: Re: book news
From: "A. X. Shen"
Title: Analysis and Probability: Wavelets, Signals, Fractals.
Series: Graduate Texts in Mathematics, Vol. 234.
Author: Jorgensen, Palle E.T.
2006, Approx. 320 p. 42 illus., Hardcover.
ISBN: 0-387-29519-4.
Release Due: February 2006
Details can be found at the publisher’s webpage:
http://www.springer.com/sgw/cda/frontpage/0,11855,1-40011-22-87689592-0,00.html
The book is available at Amazon.com:
http://www.amazon.com/gp/product/0387295194/102-7761987-5405718?
This text, combining analysis and tools from mathematical probability, focuses
on a systematic and novel exposition of a recent trend in pure and applied
mathematics. The emphasis is on the unity of basis constructions and their
expansions (bases which are computationally efficient), and on their use in
several areas: from wavelets to fractals. The aim of this book is to demonstrate
the use processes from probability, random walks on trees, and their path-space
measures in the study of convergence questions from harmonic analysis, with
particular emphasis on the infinite products arising in analysis of wavelets
and of fractals. In doing this, the book brings together tools from engineering
(especially signal/image processing) and mathematics (harmonic analysis and
operator theory).
Key features:
* Interdisciplinary focus addressed to a diverse audience of students and
workers in a variety of fields, meeting at the crossroads where they merge.
* Hands-on approach with generous motivation; lots of exercises!
* New pedagogical features to enhance teaching techniques and experience.
* Includes more than 40 figures with detailed captions, illustrating the main
ideas and visualizing the deeper connections in the subject.
* Separate sections explain engineering terms to mathematicians and operator
theory to engineers.
* Interdisciplinary presentation and approach, combining central ideas from
mathematical analysis (with a twist in the direction of operator theory and
harmonic analysis), probability, computation, physics, and engineering.
The presentation includes numerous exercises that are essential to reinforce
fundamental concepts by helping both students and applied users practice
sketching functions or iterative schemes, as well as to hone computational
skills. Graduate students, researchers, applied mathematicians, engineers and
physicists alike will benefit from this unique work in book form that fills a
gap in the literature.
Written for:
Graduate students, researchers, engineers, applied mathematicians, analysts,
probabilists, operator theorists, information theorists, communications
circuit designers, signal/image processing specialists.