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To make the matter clearer Rational Mechanics, especially for students of the second year of their course of study, the author has achieved this by implementing and changing the previous "Notes of Theoretical Mechanics", dividing it into two groups. In a first set there are the basic ideas, the ones needed to master the topic and know their main facilities. In a second set there are (some of) those necessary to connect with each other, to each other, the various basic ideas, and to justify the methods by which they are developed and implemented. In the second part the author has added some examples and exercises that go "beyond" what is necessary for adequate preparation for the college course of Mathematical Models for the Mechanics, but that form a useful overview of the next immediate step that comes after the basic ideas, and prepares their natural continuation. In short: the first part of this book describes the fundamental structures of rational mechanics, knowledge of which is essential for a sufficient continuation in the studies; the second part, whose name is vaguely "Appendixes", illustrates and discusses topics that, for the first infrastructure, are needed to complete the correct preparation to matter. The arguments of the second part, however, required for a real learning of matter, they were in practice disjoined from the first only to make it less hostile, and are therefore specifically referring to the particular point of that in which they arise, and in which it is appropriate to re-enter, perhaps in a second reading.
Mauro Lo Schiavo graduated in Physics in Rome in 1974. Since 1976 Assistant to the Chair of Theoretical Mechanics and Associate Professor since 1987 in the group MAT / 07 (Mathematical Physics), he teaches, since 1987, several courses related to such grouping at Faculty of Engineering of the Sapienza University of Rome: Theoretical Mechanics, Principles of Mathematical Physics, Dynamical Systems, Applied Mathematics. Of the same scientific environment, but more wide-ranging, they were the subjects of his research: from Information Theory and Measure Theory, the manipulation of images, from classical topics of dynamical systems, models of statistical and kinetic. In particular, in recent times it is busy application of kinetic models generalized to advanced and complex systems such as those that describe populations of individuals, social systems, hospitals, taking care of both the theoretical aspect is the numerical simulations and their consequent validations with the experimental data.