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AuthorPrestini, Elena. author
TitleThe Evolution of Applied Harmonic Analysis [electronic resource] : Models of the Real World / by Elena Prestini
ImprintBoston, MA : Birkhรคuser Boston : Imprint: Birkhรคuser, 2004
Connect tohttp://dx.doi.org/10.1007/978-0-8176-8140-1
Descript XXI, 351 p. 65 illus. online resource

SUMMARY

"โ{128}ฆcan 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." โ{128}{148} 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

Foreword (R. Bracewell) -- Preface -- Joseph Fourier: The Man and the Mathematician -- Introduction to Harmonic Analysis -- Telecommunications and Space Exploration -- Sound, Music and Computers -- Fourier Optics and the Synchrotron Light -- X-ray Crystallography: Proteins and DNA Structure -- The Radon Transform and Computerized Tomography -- Nuclear Magnetic Resonance: Imaging and Spectroscopy -- Radioastronomy and Modern Cosmology -- Bibliography -- Index


Mathematics Fourier analysis Applied mathematics Engineering mathematics History Observations Astronomical Astronomy -- Observations Popular works Mathematics Fourier Analysis Applications of Mathematics History of Mathematical Sciences Astronomy Observations and Techniques Popular Science general Signal Image and Speech Processing



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