Time Series Analysis and Inverse Theory for Geophysicists

1. Introduction; Part I. Processing: 2. Mathematical preliminaries; 3. Practical estimation of spectra; 4. Filtering; 5. Processing two-dimensional data; Part II. Inversion: 6. Linear parameter estimation; 7. The underdetermined problem; 8. Nonlinear inverse problems; 9. Continuous inverse theory; Part III. Applications: 10. Fourier analysis as an inverse problem; 11. Seismic travel times and tomography; 12. Geomagnetism; Appendix 1. Fourier series; Appendix 2. The Fourier integral transform; Appendix 3. Shannon's sampling theorem; Appendix 4. Linear algebra; Appendix 5. Vector spaces and the function space; Appendix 6. Lagrange multipliers and penalty parameters; Appendix 7. Files for the computer exercises; References; Index.

'... this excellent textbook fills a much neglected gap ... the group that will benefit most from its guidance will be future generations of geophysics students ...' Journal of Geological Magazine 'For the student, this is an excellent text well suited for its intended level of instruction with many exercises following each chapter, some requiring computer programs obtainable from various web sites. ... I suggest that any instructor planning to teach time series and inverse theory examine this book as a potential text . ... In summary, this book has more than adequately filled the role for which it was written, namely as a text for introductory courses in time series analysis and inverse theory.' The Leading Edge "Any body with an interest in geophysical time series and inverse problems is truly well served with this beautifully written volume.' The Leading Edge