Spectral Methods in Geodesy and Geophysics

Christopher Jekeli

September 28, 2017 by CRC Press
Reference - 416 Pages - 97 B/W Illustrations
ISBN 9781482245257 - CAT# K23528

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Features

  • Conceptual development with enough mathematical detail to make it self-contained, but not overwhelmingly so in order to offer greater accessibility to non-mathematics majors and students in applied fields.
  • Emphasis on 2-D applications on the plane and on the sphere, rather than on the time axis (much of Fourier analysis originated and still has its major application in the time domain – communications and signal transmission). My text is oriented to geodesists, geographers, and geophysicists who work with data on the plane and sphere.
  • A large part of the applications is geared toward a stochastic interpretation of fields.
  • Examples are based on real data, where possible.
  • Problems/solutions are included (depending on available time to prepare).

Summary

The text develops the principal aspects of applied Fourier analysis and methodology with the main goal to inculcate a different way of perceiving global and regional geodetic and geophysical data, namely from the perspective of the frequency, or spectral, domain rather than the spatial domain. The word "methods" in the title is meant to convey that the transformation of a geophysical signal into the spectral domain can be applied for purposes of analysis as well as rapid computation. The text is written for graduate students; however, Chapters 1 through 4 and parts of 5 can also benefit undergraduates who have a solid and fluent knowledge of integral and differential calculus, have some statistical background, and are not uncomfortable with complex numbers. Concepts are developed by starting from the one-dimensional domain and working up to the spherical domain, which is part of every chapter. Many concepts are illustrated graphically with actual geophysical data primarily from signals of gravity, magnetism, and topography.

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