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Birkhäuser - Birkhäuser Mathematics | The Evolution of Applied Harmonic Analysis - Models of the Real World

The Evolution of Applied Harmonic Analysis

Models of the Real World

Prestini, Elena

2004, XXI, 351 p.

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"…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 » Fourier analysis - calculus - evolution - harmonic analysis - instruments - mathematics - scanning - signal processing

Related subjects » Birkhäuser Engineering - Birkhäuser History of Science - Birkhäuser Mathematics - Birkhäuser Physics

Table of contents 

Foreword (R. Bracewell)

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

Bibliography

Index

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