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In 2013 several scientific activities have been devoted to mathematical researches for the study of planet Earth. The current volume presents a selection of the highly topical issues presented at the workshop “Mathematical Models and Methods for Planet Earth”, held in Roma (Italy), in May 2013. The fields of interest span from impacts of dangerous asteroids to the safeguard from space debris, from climatic changes to monitoring geological events, from the study of tumor growth to sociological problems. In all these fields the mathematical studies play a relevant role as a tool for the analysis of specific topics and as an ingredient of multidisciplinary problems. To investigate these problems we will see many different mathematical tools at work: just to mention some, stochastic processes, PDE, normal forms, chaos theory.

Astronomy --- Mathematical models. --- Mathematics. --- Models, Mathematical --- Simulation methods --- Astronomical mathematics --- Environmental sciences. --- Geography. --- Mathematical physics. --- Math. Appl. in Environmental Science. --- Earth Sciences, general. --- Climate Change/Climate Change Impacts. --- Climate, general. --- Mathematical Methods in Physics. --- Physical mathematics --- Physics --- Cosmography --- Earth sciences --- World history --- Environmental science --- Science --- Mathematics --- Earth sciences. --- Climate change. --- Climate. --- Physics. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Changes, Climatic --- Changes in climate --- Climate change --- Climate change science --- Climate changes --- Climate variations --- Climatic change --- Climatic changes --- Climatic fluctuations --- Climatic variations --- Global climate changes --- Global climatic changes --- Climatology --- Climate change mitigation --- Teleconnections (Climatology) --- Geosciences --- Environmental sciences --- Environmental aspects --- Earth (Planet) --- Earth --- Global environmental change