2nd Edition. — Springer Science+Business Media LLC, 2016. — 377 p. — (Applied and Numerical Harmonic Analysis) — ISBN: 978-1-4899-7987-2.
The major contribution to this second edition is the addition of chapter ten which emphasizes applications to atmospheric science including measurements and probing instruments. As in the previous chapters the common thread is the Fourier method. The pinnacle of this chapter is that the most definite quantitative achievement in turbulence theory advanced by Kolmogorov is rooted in the statistical Fourier decomposition. The physical explanations and mathematics have enough details to be self-sufficient. The chapter will be of particular interest to atmospheric scientists and engineers.
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: Protein Structure and DNA
The Radon Transform and Computerized Tomography
Nuclear Magnetic Resonance: Imaging and Spectroscopy
Radioastronomy and Modern Cosmology
Our Friendly Atmosphere: Methods of Remote Sensing and Climate