Recent Advances in Fourier Analysis and Its Applications, J.S. Byrnes
Автор: Bracewell Название: The Fourier Transform And Its Applications ISBN: 0071160434 ISBN-13(EAN): 9780071160438 Издательство: McGraw-Hill Рейтинг: Цена: 8063.00 р. Наличие на складе: Поставка под заказ.
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.
"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.
"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.
Автор: Dyke, P. P. G. Название: An Introduction to Laplace transforms and Fourier series ISBN: 1852330155 ISBN-13(EAN): 9781852330156 Издательство: Springer Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Koldobsky, Alexander Название: Fourier analysis in convex geometry ISBN: 0821837877 ISBN-13(EAN): 9780821837870 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 7682.00 р. Наличие на складе: Нет в наличии.
Описание: Discusses Fourier analysis approach. This book expresses certain geometric properties of bodies in terms of Fourier analysis and uses harmonic analysis methods to solve geometric problems. It is suitable for graduate students and researchers interested in geometry, harmonic and functional analysis, and probability.
Автор: Wiener, Norbert Название: The Fourier Integral and Certain of its Applications ISBN: 0521358841 ISBN-13(EAN): 9780521358842 Издательство: Cambridge Academ Рейтинг: Цена: 6019.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Anders Vretblad Название: Fourier Analysis and Its Applications ISBN: 1441918418 ISBN-13(EAN): 9781441918413 Издательство: Springer Рейтинг: Цена: 7260.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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
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