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The Evolution of Applied Harmonic Analysis (E-Book, PDF) | Buchladen zur schwankenden Weltkugel

Featuring a wealth of illustrations, examples, and material not found in other harmonic analysis books, this unique monograph skillfully blends together historical narrative with scientific exposition to create a comprehensive yet accessible work. While only an understanding of calculus is required to appreciate it, there are more technical sections that will charm even specialists in harmonic analysis. From undergraduates to professional scientists, engineers, and mathematicians, there is something for everyone here. Praise for the first edition:"can be thoroughly recommended to any reader who is curious about the physical world and the intellectual underpinnings that have lead to our expanding understanding of our physical environment and to our halting steps to control it.

The evolution of applied harmonic analysis : models of the real world

Everyone who uses instruments that are based on harmonic analysis will benefit from the clear verbal descriptions that are supplied. Bracewell, Stanford UniversityThe book under review is a unique and splendid telling of the triumphs of the fast Fourier transform.

I can recommend it unconditionally Elena Prestini has taken one major mathematical idea, that of Fourier analysis, and chased down and described a half dozen varied areas in which Fourier analysis and the FFT are now in place. Her book is much to be applauded. Society for Industrial and Applied MathematicsThis is not simply a book about mathematics, or even the history of mathematics; it is a story about how the discipline has been applied to borrow Fouriers expression to the public good and the explanation of natural phenomena.

The Evolution of Applied Harmonic Analysis: Models of the Real World

Sampling theory and shift-invariant spaces: Periodic nonuniform sampling in shift-invariant spaces -- Sampling on unions of shifted lattices in one dimension -- Learning the right model from the data -- Redundancy in the frequency domain -- Density results for frames of exponentials. Benedetto, John.

Harmonic analysis. Time-series analysis.

Frames Vector analysis Frames Vector analysis Harmonic analysis. Heil, Christopher [editor] Benedetto, John.


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Aston University Library.