The first textbook covering spectral analysis and geophysical data inversion for undergraduate and graduate students.This is the first textbook to cover both spectral analysis and inversion of geophysical data at a level appropriate for undergraduate and graduate students. It introduces the necessary theory and techniques and goes on to show how these may be practically applied in order to interpret various types of geophysical signal including seismic, magnetic and gravity data. Featuring summary boxes, extensive mathematical and computing exercises (solutions and software available on the Internet), and a set of mathematical appendices, this textbook will prove invaluable to all geophysics students and tutors.This is the first textbook to cover both spectral analysis and inversion of geophysical data at a level appropriate for undergraduate and graduate students. It introduces the necessary theory and techniques and goes on to show how these may be practically applied in order to interpret various types of geophysical signal including seismic, magnetic and gravity data. Featuring summary boxes, extensive mathematical and computing exercises (solutions and software available on the Internet), and a set of mathematical appendices, this textbook will prove invaluable to all geophysics students and tutors.Covering spectral analysis as well as inversion of geophysical data, David Gubbins introduces the necessary theory and techniques and then demonstrates how they may be practically applied to interpret various types of geophysical signals, including seismic, magnetic and gravity data. Featuring summary boxes, extensive mathematical and computing exercises (solutions and software available on the Internet), and a set of mathematical appendices, this textbook will prove invaluable to geophysics students and instructors.1. Introduction; Part I. Processing: 2. Mathematical preliminaries; 3. Practical estimation of spectra; 4. Filtering; 5. Processing two-dimensional data;lC(