A self-contained text presenting the mathematics, statistics, and computer programming that students need to master for further coursework and research in climate science, meteorology, and oceanography. Mathematical techniques are illustrated with climate applications, supported by exercises, solutions, sample code, datasets, and animations.
A self-contained text presenting the mathematics, statistics, and computer programming that students need to master for further coursework and research in climate science, meteorology, and oceanography. Mathematical techniques are illustrated with climate applications, supported by exercises, solutions, sample code, datasets, and animations.
Samuel S. P. Shen is Distinguished Professor of Mathematics and Statistics at San Diego State University, and Visiting Research Mathematician at the Scripps Institution of Oceanography, University of California, San Diego. Formerly, he was McCalla Professor of Mathematical and Statistical Sciences at the University of Alberta, Canada, and President of the Canadian Applied and Industrial Mathematics Society. He has held a variety of visiting positions at the NASA Goddard Space Flight Center, the US Climate Prediction Center, and the University of Tokyo.
Inhaltsangabe
1. Dimensional analysis for climate science; 2. Basics of R programming; 3. Basic statistical methods for climate data analysis; 4. Climate data matrices and linear algebra; 5. Energy balance models for climate; 6. Calculus applications to climate science I: derivatives; 7. Calculus applications to climate science II: integrals; 8. Conservation laws in climate dynamics; 9. R graphics for climate science; 10. Advanced R analysis and plotting EOFs, trends, and global data; 11. R analysis of incomplete climate data; Appendix A. Dot product of two vectors; Appendix B. Cross product of two vectors; Appendix C. Spherical coordinates; Appendix D. Calculus concepts and methods; Appendix E. Sample solutions to the climate mathematics exercises.
1. Dimensional analysis for climate science; 2. Basics of R programming; 3. Basic statistical methods for climate data analysis; 4. Climate data matrices and linear algebra; 5. Energy balance models for climate; 6. Calculus applications to climate science I: derivatives; 7. Calculus applications to climate science II: integrals; 8. Conservation laws in climate dynamics; 9. R graphics for climate science; 10. Advanced R analysis and plotting EOFs, trends, and global data; 11. R analysis of incomplete climate data; Appendix A. Dot product of two vectors; Appendix B. Cross product of two vectors; Appendix C. Spherical coordinates; Appendix D. Calculus concepts and methods; Appendix E. Sample solutions to the climate mathematics exercises.
Rezensionen
'Climate Mathematics is an engaging work that provides students of climate science with the most essential mathematical and computational tools of the trade. This may well prove the most useful text they will encounter on the road to becoming climate scientists.' Kerry A. Emanuel, Massachusetts Institute of Technology
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