Principles of fourier analysis/ Kenneth B Howell
Series: Textbooks in MathematicsPublication details: Boca Raton: CRC Press, 2017Edition: 2ndDescription: xvi, 788 pages, 26 cmISBN:- 9781498734097
- 23rd 515.2433 H859
Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
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Books | ISI Library, Kolkata | 515.2433 H859 (Browse shelf(Opens below)) | Available | 138658 |
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515.2433 H474 Topics in harmonic analysis on homogeneous spaces | 515.2433 H557 First course on wavelets | 515.2433 H557 First course on wavelets | 515.2433 H859 Principles of fourier analysis/ | 515.2433 H875 World according to wavelets | 515.2433 H875 World according to wavelets | 515.2433 In61 Harmonic analysis |
Includes index
I: Preliminaries -- II: Fourier Series -- III: Classical Fourier transforms -- IV: Generalized functions and Fourier transforms -- V Discrete theory
Principles of Fourier Analysis furnishes all this and more. It provides a comprehensive overview of the mathematical theory of Fourier analysis, including the development of Fourier series, "classical" Fourier transforms, generalized Fourier transforms and analysis, and the discrete theory. Much of the author's development is strikingly different from typical presentations. His approach to defining the classical Fourier transform results in a much cleaner, more coherent theory that leads naturally to a starting point for the generalized theory. He also introduces a new generalized theory based on the use of Gaussian test functions that yields an even more general -yet simpler -theory than usually presented.
This book stimulates the appreciation and understanding of the fundamental concepts and serves both beginning students who have seen little or no Fourier analysis as well as the more advanced students who need a deeper understanding. Insightful, non-rigorous derivations motivate much of the material, and thought-provoking examples illustrate what can go wrong when formulas are misused. With clear, engaging exposition, readers develop the ability to intelligently handle the more sophisticated mathematics that Fourier analysis ultimately requires.
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