A primer on fourier analysis for the geosciences
By: Crockett, Robin.
Publisher: Cambridge Cambridge University Press 2019Description: xiv, 176p.ISBN: 9781316600245.Subject(s): Fourier analysis | Earth sciences -- MathematicsDDC classification: 515.24330155 | C872p Summary: Time-series analysis is used to identify and quantify periodic features in datasets and has many applications across the geosciences, from analysing weather data, to solid-Earth geophysical modelling. This intuitive introduction provides a practical 'how-to' guide to basic Fourier theory, with a particular focus on Earth system applications. The book starts with a discussion of statistical correlation, before introducing Fourier series and building to the fast Fourier transform (FFT) and related periodogram techniques. The theory is illustrated with numerous worked examples using R datasets, from Milankovitch orbital-forcing cycles to tidal harmonics and exoplanet orbital periods. These examples highlight the key concepts and encourage readers to investigate more advanced time-series techniques. The book concludes with a consideration of statistical effect size and significance. This useful book is ideal for graduate students and researchers in the Earth system sciences who are looking for an accessible introduction to time-series analysis.Item type | Current location | Collection | Call number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|---|
![]() |
PK Kelkar Library, IIT Kanpur | General Stacks | 515.24330155 C872p (Browse shelf) | Available | A184869 |
Browsing PK Kelkar Library, IIT Kanpur Shelves , Collection code: General Stacks Close shelf browser
515.2433 W636P PRACTICAL FOURIER ANALYSIS FOR MULTIGRID METHODS | 515.2433 W831H HARMONIC ANALYSIS ON COMMUTATIVE SPACES | 515.2433 Z99T3 TRIGONOMETRIC SERIES | 515.24330155 C872p A primer on fourier analysis for the geosciences | 515.26 Al78w When less is more | 515.26 C335m Mathematical inequalities | 515.26 In31 Inequalities and extremal problems in probability and statistics: selected topics |
Time-series analysis is used to identify and quantify periodic features in datasets and has many applications across the geosciences, from analysing weather data, to solid-Earth geophysical modelling. This intuitive introduction provides a practical 'how-to' guide to basic Fourier theory, with a particular focus on Earth system applications. The book starts with a discussion of statistical correlation, before introducing Fourier series and building to the fast Fourier transform (FFT) and related periodogram techniques. The theory is illustrated with numerous worked examples using R datasets, from Milankovitch orbital-forcing cycles to tidal harmonics and exoplanet orbital periods. These examples highlight the key concepts and encourage readers to investigate more advanced time-series techniques. The book concludes with a consideration of statistical effect size and significance. This useful book is ideal for graduate students and researchers in the Earth system sciences who are looking for an accessible introduction to time-series analysis.
There are no comments for this item.