Climate Mathematics
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気候数学:理論と応用 Theory and Applications Author: Shen, Samuel S. P. (San Diego State University) / Somerville, Richard C. J. (Scripps Institution of Oceanography, University of California, San Diego) Publisher: Cambridge University Press ISBN: 9781108476874 Cover: HARDCOVER Date: 2019年09月 こちらの商品は学校・法人様向け(機関契約)のオンラインブック版がございます。 オンラインブックの価格、納期につきましては弊社営業員または当ECサイトよりお問い合わせください。 DESCRIPTION This unique text provides a thorough, yet accessible, grounding in the mathematics, statistics, and programming that students need to master for coursework and research in climate science, meteorology, and oceanography. Assuming only high school mathematics, it presents carefully selected concepts and techniques in linear algebra, statistics, computing, calculus and differential equations within the context of real climate science examples. Computational techniques are integrated to demonstrate how to visualize, analyze, and apply climate data, with R code featured in the book and both R and Python code available online. Exercises are provided at the end of each chapter with selected solutions available to students to aid self-study and further solutions provided online for instructors only. Additional online supplements to aid classroom teaching include datasets, images, and animations. Guidance is provided on how the book can support a variety of courses at different levels, making it a highly flexible text for undergraduate and graduate students, as well as researchers and professional climate scientists who need to refresh or modernize their quantitative skills. * Tailored specifically to the needs of climate science, combining all the relevant math topics into a single resource * Accessible and self-contained, assuming only high school mathematical knowledge * Presents each formula alongside relevant climate science examples to demonstrate the physical meaning and context * Uses R and Python code to integrate computational techniques with mathematical methods - training students in the key skills of data analysis and visualization Table of Contents 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.
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