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Science --- Mathematics --- Celestial mechanics --- Space research --- Cosmology --- Astrophysics --- Theory of relativity. Unified field theory --- astrofysica --- popularisering wetenschap --- toegepaste wiskunde --- wetenschappen --- relativiteitstheorie --- ruimte (astronomie) --- astronomie --- kosmologie

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I was delighted to be invited by my colleagues Alessandra Celletti and Ettore Perozzi to provide a foreword to their book, Celestial Mechanics: The Waltz of the Planets. Having known them for many years and long admired their work in the subject so many of us love and are fascinated by, 1 read with great attention and pleasure the text when it arrived. It is a formidable task they have set themselves, to provide a book that describes attempts by successive generations of astronomers from the dawn of history five millennia ago to observe, record and understand the phenomena of the heavens, particularly the intricate and perplexing behaviour of the planets. Sun and Moon. As naked eye astronomy became aided by the telescope and the photographic plate, and since the middle of the twentieth century, by instruments launched on spacecraft into circum- Earth orbit or to the Moon and planets and beyond, the discovery of new satellites, scores of them, and ring systems displaying new and initially perplexing behaviour also demanded explanations for that behaviour. It is also the inspiring story of science itself with special reference to how lonely individuals, impelled by curiosity and dedicated to seeking the truth, and nothing but the truth, about the fascinating phenomena of nature, ultimately became accepted as scientists, those players in the most successful endeavour ever engaged in by the human race.

Science --- Mathematics --- Celestial mechanics --- Space research --- Cosmology --- Astrophysics --- Theory of relativity. Unified field theory --- astrofysica --- popularisering wetenschap --- toegepaste wiskunde --- wetenschappen --- relativiteitstheorie --- ruimte (astronomie) --- astronomie --- kosmologie

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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