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, accessible to specialists and non-specialists, 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. Historical sections interwoven with key scientific developments show how, when, where, and why harmonic analysis evolved

"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.

Inhalt

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