Harmonic Analysis From Fourier to Wavelets pdf epub mobi txt 电子书 下载 2024


Harmonic Analysis From Fourier to Wavelets

简体网页||繁体网页
María Cristina Pereyra
American Mathematical Society
2012-6-13
411
USD 58.00
Student Mathematical Library
9780821875667

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发表于2024-11-23

Harmonic Analysis From Fourier to Wavelets epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

Harmonic Analysis From Fourier to Wavelets epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

Harmonic Analysis From Fourier to Wavelets pdf epub mobi txt 电子书 下载 2024



图书描述

In the last 200 years, harmonic analysis has been one of the most influential bodies of mathematical ideas, having been exceptionally significant both in its theoretical implications and in its enormous range of applicability throughout mathematics, science, and engineering.

In this book, the authors convey the remarkable beauty and applicability of the ideas that have grown from Fourier theory. They present for an advanced undergraduate and beginning graduate student audience the basics of harmonic analysis, from Fourier's study of the heat equation, and the decomposition of functions into sums of cosines and sines (frequency analysis), to dyadic harmonic analysis, and the decomposition of functions into a Haar basis (time localization). While concentrating on the Fourier and Haar cases, the book touches on aspects of the world that lies between these two different ways of decomposing functions: time–frequency analysis (wavelets). Both finite and continuous perspectives are presented, allowing for the introduction of discrete Fourier and Haar transforms and fast algorithms, such as the Fast Fourier Transform (FFT) and its wavelet analogues.

The approach combines rigorous proof, inviting motivation, and numerous applications. Over 250 exercises are included in the text. Each chapter ends with ideas for projects in harmonic analysis that students can work on independently.

Harmonic Analysis From Fourier to Wavelets 下载 mobi epub pdf txt 电子书

著者简介

María Cristina Pereyra: The University of New Mexico, Albuquerque, NM,

Lesley A. Ward: University of South Australia, Mawson Lakes Campus, Adelaide, Australia


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