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Time Series Analysis and Inverse Theory for Geophysicists

Time Series Analysis and Inverse Theory for Geophysicists


  • Date Published: March 2004
  • availability: Available
  • format: Paperback
  • isbn: 9780521525695

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About the Authors
  • This unique textbook provides the foundation for understanding and applying techniques commonly used in geophysics to process and interpret modern digital data. The geophysicist's toolkit contains a range of techniques which may be divided into two main groups: processing, which concerns time series analysis and is used to separate the signal of interest from background noise; and inversion, which involves generating some map or physical model from the data. These two groups of techniques are normally taught separately, but are here presented together as parts I and II of the book. Part III describes some real applications and includes case studies in seismology, geomagnetism, and gravity. This textbook gives students and practitioners the theoretical background and practical experience, through case studies, computer examples and exercises, to understand and apply new processing methods to modern geophysical datasets. Solutions to the exercises are available on a website at

    • Was the first textbook on this topic aimed at undergraduate and graduate students
    • Features summary boxes for specific results and techniques
    • Includes numerous paper and computer exercises for which the necessary software and solutions are available on the Internet
    • Contains appendices explaining key mathematical derivations and results
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    Reviews & endorsements

    '… 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

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    Product details

    • Date Published: March 2004
    • format: Paperback
    • isbn: 9780521525695
    • length: 272 pages
    • dimensions: 244 x 170 x 15 mm
    • weight: 0.44kg
    • contains: 49 b/w illus. 7 tables 71 exercises
    • availability: Available
  • Table of Contents

    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

  • Resources for

    Time Series Analysis and Inverse Theory for Geophysicists

    David Gubbins

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  • Author

    David Gubbins, University of Leeds

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