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.
Presents the core mathematics, statistics, and programming skills needed for modern climate science courses, with online teaching materials.
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. Richard C. J. Somerville is Distinguished Professor Emeritus at the Scripps Institution of Oceanography, University of California, San Diego. His is a Fellow of the American Association for the Advancement of Science (AAAS), the American Geophysical Union (AGU), and the American Meteorological Society (AMS). His awards include the Climate Communication Prize (2015) and the Ambassador Award (2017) from AGU. He is a leading authority on the prospects for climate change in coming decades and is a coordinating lead author of the Intergovernmental Panel on Climate Change.
'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
'Combining traditional techniques with the judicious use of
computer codes, Shen and Somerville show how mathematics is
intimately connected with the science, and how it can be used to
address climate problems occurring in the real world. The book is
user-friendly for the beginner, but pays due attention to detail
for the more advanced student. Taken with the extensive online
resources, it brings a fresh new perspective to our curriculum that
students and instructors will surely value.' Geoffrey Vallis,
University of Exeter
'This book provides a timely introduction to the mathematical
approaches and statistical techniques that students will need to
understand climate change and how to respond to its impacts. I
especially like how it gets students into using the important
programming capabilities of R and Python to do such analyses.
Climate Mathematics is a wonderful resource - one I will use myself
and recommend to all of our students.' Donald J. Wuebbles,
University of Illinois, Urbana-Champaign
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