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Fourier Analysis and Its Applications, Anders Vretblad


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Автор: Anders Vretblad
Название:  Fourier Analysis and Its Applications
ISBN: 9781441918413
Издательство: Springer
Классификация:


ISBN-10: 1441918418
Обложка/Формат: Paperback
Страницы: 272
Вес: 0.41 кг.
Дата издания: 29.11.2010
Серия: Graduate Texts in Mathematics
Язык: English
Размер: 234 x 156 x 15
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: TheclassicaltheoryofFourierseriesandintegrals, aswellasLaplacetra- forms, is of great importance for physical and technical applications, and its mathematical beauty makes it an interesting study for pure mathema- cians as well. I have taught courses on these subjects for decades to civil engineeringstudents, andalsomathematicsmajors, andthepresentvolume can be regarded as my collected experiences from this work. There is, of course, an unsurpassable book on Fourier analysis, the tr- tise by Katznelson from 1970. That book is, however, aimed at mathem- ically very mature students and can hardly be used in engineering courses. Ontheotherendofthescale, thereareanumberofmore-or-lesscookbo- styled books, where the emphasis is almost entirely on applications. I have felt the need for an alternative in between these extremes: a text for the ambitious and interested student, who on the other hand does not aspire to become an expert in the ?eld. There do exist a few texts that ful?ll these requirements (see the literature list at the end of the book), but they do not include all the topics I like to cover in my courses, such as Laplace transforms and the simplest facts about distributi


The Fourier Transform And Its Applications

Автор: Bracewell
Название: The Fourier Transform And Its Applications
ISBN: 0071160434 ISBN-13(EAN): 9780071160438
Издательство: McGraw-Hill
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Цена: 8063.00 р.
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Описание: Intended for use in a senior undergraduate or graduate level course in Fourier Transforms. This text applies mathematical concepts to the physical world, equipping students to think about the world and physics in terms of transforms. It includes such tools as the pictorial dictionary of transforms and bibliographic references.

An Introduction to Laplace transforms and Fourier series

Автор: Dyke, P. P. G.
Название: An Introduction to Laplace transforms and Fourier series
ISBN: 1852330155 ISBN-13(EAN): 9781852330156
Издательство: Springer
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Цена: 4884.00 р.
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Описание: This introduction to Laplace transforms and Fourier series is aimed at second year students in applied mathematics. Mathematics students do not usually meet this material until later in their degree course but applied mathematicians and engineers need an early introduction.

The Fourier Integral and Certain of its Applications

Автор: Wiener, Norbert
Название: The Fourier Integral and Certain of its Applications
ISBN: 0521358841 ISBN-13(EAN): 9780521358842
Издательство: Cambridge Academ
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Цена: 6019.00 р.
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Описание: The book was written from lectures given at the University of Cambridge and maintains throughout a high level of rigour whilst remaining a highly readable and lucid account. Topics covered include the Planchard theory of the existence of Fourier transforms of a function of L2 and Tauberian theorems.

Recent Advances in Fourier Analysis and Its Applications

Автор: J.S. Byrnes
Название: Recent Advances in Fourier Analysis and Its Applications
ISBN: 9401067848 ISBN-13(EAN): 9789401067843
Издательство: Springer
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Цена: 12157.00 р.
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Описание: Proceedings of the NATO Advanced Study Institute on Fourier Analysis and its Applications, Il Ciocco, Italy, July 16-29, 1989

Martingale Hardy Spaces and their Applications in Fourier Analysis

Автор: Ferenc Weisz
Название: Martingale Hardy Spaces and their Applications in Fourier Analysis
ISBN: 3540576231 ISBN-13(EAN): 9783540576235
Издательство: Springer
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Цена: 5583.00 р.
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Описание: This monograph deals with the theory of one-and two-parameter martingale Hardy spaces and their use in Fourier analysis. The atomic decomposition method is applied to both theories, and a new proof of Carleson`s convergence result, using martingale methods, is provided.

Discrete Fourier And Wavelet Transforms: An Introduction Through Linear Algebra With Applications To Signal Processing

Автор: Goodman Roe W
Название: Discrete Fourier And Wavelet Transforms: An Introduction Through Linear Algebra With Applications To Signal Processing
ISBN: 9814725765 ISBN-13(EAN): 9789814725767
Издательство: World Scientific Publishing
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Цена: 12830.00 р.
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Описание:

"This book is suitable as a textbook for an introductory undergraduate mathematics course on discrete Fourier and wavelet transforms for students with background in calculus and linear algebra. The particular strength of this book is its accessibility to students with no background in analysis. The exercises and computer explorations provide the reader with many opportunities for active learning. Studying from this text will also help students strengthen their background in linear algebra."

Mathematical Association of America

This textbook for undergraduate mathematics, science, and engineering students introduces the theory and applications of discrete Fourier and wavelet transforms using elementary linear algebra, without assuming prior knowledge of signal processing or advanced analysis.

It explains how to use the Fourier matrix to extract frequency information from a digital signal and how to use circulant matrices to emphasize selected frequency ranges. It introduces discrete wavelet transforms for digital signals through the lifting method and illustrates through examples and computer explorations how these transforms are used in signal and image processing. Then the general theory of discrete wavelet transforms is developed via the matrix algebra of two-channel filter banks. Finally, wavelet transforms for analog signals are constructed based on filter bank results already presented, and the mathematical framework of multiresolution analysis is examined.

Discrete Fourier And Wavelet Transforms: An Introduction Through Linear Algebra With Applications To Signal Processing

Автор: Goodman Roe W
Название: Discrete Fourier And Wavelet Transforms: An Introduction Through Linear Algebra With Applications To Signal Processing
ISBN: 9814725773 ISBN-13(EAN): 9789814725774
Издательство: World Scientific Publishing
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Цена: 6336.00 р.
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Описание:

"This book is suitable as a textbook for an introductory undergraduate mathematics course on discrete Fourier and wavelet transforms for students with background in calculus and linear algebra. The particular strength of this book is its accessibility to students with no background in analysis. The exercises and computer explorations provide the reader with many opportunities for active learning. Studying from this text will also help students strengthen their background in linear algebra."

Mathematical Association of America

This textbook for undergraduate mathematics, science, and engineering students introduces the theory and applications of discrete Fourier and wavelet transforms using elementary linear algebra, without assuming prior knowledge of signal processing or advanced analysis.

It explains how to use the Fourier matrix to extract frequency information from a digital signal and how to use circulant matrices to emphasize selected frequency ranges. It introduces discrete wavelet transforms for digital signals through the lifting method and illustrates through examples and computer explorations how these transforms are used in signal and image processing. Then the general theory of discrete wavelet transforms is developed via the matrix algebra of two-channel filter banks. Finally, wavelet transforms for analog signals are constructed based on filter bank results already presented, and the mathematical framework of multiresolution analysis is examined.

Fast Fourier Transform - Algorithms and Applications

Автор: K.R. Rao; Do Nyeon Kim; Jae Jeong Hwang
Название: Fast Fourier Transform - Algorithms and Applications
ISBN: 9400733593 ISBN-13(EAN): 9789400733596
Издательство: Springer
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Цена: 8384.00 р.
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Описание: This book covers FFTs, frequency domain filtering, and applications to video and audio signal processing.As fields like communications, speech and image processing, and related areas are rapidly developing, the FFT as one of essential parts in digital signal processing has been widely used.


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