Elena Prestini

The Evolution of Applied Harmonic Analysis (eBook, PDF)

Models of the Real World

• Format: PDF

Produktbeschreibung

"...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.

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Produktdetails

• Verlag: Birkhäuser Boston
• Seitenzahl: 351
• Erscheinungstermin: 22. November 2013
• Englisch
• ISBN-13: 9780817681401
• Artikelnr.: 44197947

Inhaltsangabe

Foreword.- Preface.- Joseph Fourier: The Man and the Mathematician.- Introduction to Harmonic Analysis.- Telecommunications and Space Exploration.- Fourier Optics and the Synchrotron Light.- Sound, Music and Computers.- Crystallography: Proteins and DNA Structure.- Nuclear Magnetic Resonance: Imaging and Spectroscopy.- Computerized Tomography and the Radon Transform.- Radioastronomy and Modern Cosmology.- Our Friendly Atmosphere: Methods of Remote Sensing and Climate.- Bibliography.- Index.