E-Book Overview
"…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. Everyone who uses instruments that are based on harmonic analysis will benefit from the clear verbal descriptions that are supplied." — R.N. Bracewell, Stanford University A sweeping exploration of essential concepts and applications in modern mathematics and science through the unifying framework of Fourier analysis! This unique, extensively illustrated book describes the evolution of harmonic analysis, integrating theory and applications in a way that requires only some general mathematical sophistication and knowledge of calculus in certain sections. Key features: Historical sections interwoven with key scientific developments showing how, when, where, and why harmonic analysis evolved Exposition driven by more than 150 illustrations and numerous examples Concrete applications of harmonic analysis to signal processing, computerized music, Fourier optics, radio astronomy, crystallography, CT scanning, nuclear magnetic resonance imaging and spectroscopy Includes a great deal of material not found elsewhere in harmonic analysis books Accessible to specialists and non-specialists "The Evolution of Applied Harmonic Analysis" will engage graduate and advanced undergraduate students, researchers, and practitioners in the physical and life sciences, engineering, and mathematics. Content Level » Graduate Keywords » Harmonic analysis - fourier analysis - signal processing
E-Book Content
THE EVOLUTION OF ed Harmonic Analysis MODELS OF THE REAL WORLD Elena Prestini FOREWORD BY RONALD N. BRACEWELL Applied and Numerical Harmonic Analysis Published titles J.M. Cooper: Introduction to Parlial Differential Equations with MATLAB (ISBN 0-81 76-3967-5) G.E. D'Attellis and E.M. Fernández-Berdaguer: Wavelet Theory and Harmonic Analysis in Applied Sciences (ISBN 0-81 76-3953-5) H.G. Feichtinger and T. Strohmer: GaborAnalysis and Algorithms (ISBN 0-81 76-3959-4) T.M. Peters, J.H.T. Bates, G.B. Pike, P. Munger, and J.C. Williams: Fourier Transforms and Biomedical Engineering (ISBN 0-81 76-394 1 -1) Al. Saichev and W.A. (ISBN 0-81 76-3924-1) Distributions in the Physical and Engineering Sciences R. Tolimierei and M. An: Time-Frequency Representations (ISBN 0-81 76-391 8-7) G.T. Herman: Geometry of Digital Spaces (ISBN 0-81 76-3897-0) A. Procházka, J. PJ. W. Rayner, and N.G. Kingsbury: Signal Analysis and Prediction (ISBN 0-81 76-4042-8) J. Ramanathan: Methods of Applied FourierAnalysis (ISBN 0-81 76-3963-2) A. Teolis: Computational Signal Processing with Wavelets (ISBN 0-8176-3909-8) W.O. Bray and CV. Analysis of Divergence (ISBN 0-81 76-4058-4) G.T. Herman and A. Kuba: Discrete Tomography (ISBN 0-81 76-4101 -7) J.J. Benedetto and P.J.S.G. Ferreira: Modern Sampling Theory (ISBN 0-8176-4023-1) A. Abbate, G.M. DeCusatis, and P.K. Das: Wavelets and Subbands (ISBN 0-81 76-41 L. Debnath: Wavelet Transforms and Time-Frequency Signal Analynis (ISBN 0-81 76-4104-1) K. GrOchenig: Foundations of Time-FrequencyAnalysis (ISBN 0-81 76-4022-3) D.F. Walnut: An Introduction to Wavelet Analysis (ISBN 0-81 76-3962-4) 0. Bratelli and P. Jorgensen: Wavelets through a Looking Glass (ISBN 0-81 76-4280-3) H. Feichtinger and T. Strohmer: Advances in GaborAnalysis (ISBN 0-81 76-4239-0) 0. Christensen: An Introduction to Frames and Riesz Bases (ISBN 0-81 76-4295-1) L. Debnath: Wavelets and Signal Processing (ISBN 0-81 76-4235-8) J. Davrv Methods of Applied Mathematics with a MATLAB Overview (ISBN 0-81 76-4331 -1) G.