Relational mathematics is to operations research and informatics what numerical mathematics is to engineering: it is intended to help modelling, reasoning, and computing. Its applications are therefore diverse, ranging from psychology, linguistics, decision aid, and ranking to machine learning and spatial reasoning. Although many developments have been made in recent years, they have rarely been shared amongst this broad community of researchers. This first comprehensive overview begins with an easy introduction to the topic, assuming a minimum of prerequisites; but it is nevertheless theoretically sound and up to date. It is suitable for applied scientists, explaining all the necessary mathematics from scratch using a multitude of visualised examples, via matrices and graphs. It ends with tangible results on the research level. The author illustrates the theory and demonstrates practical tasks in operations research, social sciences and the humanities.
Author(s): Günther Schmidt
Series: Encyclopedia of Mathematics and its Applications
Edition: Hardcover
Publisher: Cambridge University Press
Year: 2010
Language: English
Pages: 582
Introduction
Credits
1. Historical notes
2. Internal structure of the Earth
3. Basic equations
4. Heat conduction
5. Heat transport by convection
6. Thermal structure of the oceanic lithosphere
7. Thermal structure of the continental lithosphere
8. Global energy budget
9. Mantle convection
10. Thermal evolution of the Earth
11. Magmatic and volcanic systems
12. Environmental problems
13. New and old challenges
Appendix A. A primer on Fourier and Laplace transforms
Appendix B. Green's functions
Appendix C. About measurements
Appendix D. Physical properties
Appendix E. Heat production
List of symbols
References
Index
