This volume brings together four lecture courses on modern aspects of water waves. The intention, through the lectures, is to present quite a range of mathematical ideas, primarily to show what is possible and what, currently, is of particular interest. Water waves of large amplitude can only be fully understood in terms of nonlinear effects, linear theory being not adequate for their description. Taking advantage of insights from physical observation, experimental evidence and numerical simulations, classical and modern mathematical approaches can be used to gain insight into their dynamics. The book presents several avenues and offers a wide range of material of current interest. The lectures provide a useful source for those who want to begin to investigate how mathematics can be used to improve our understanding of water wave phenomena. In addition, some of the material can be used by those who are already familiar with one branch of the study of water waves, to learn more about other areas.
This volume brings together four lecture courses on modern aspects of water waves. The intention, through the lectures, is to present quite a range of mathematical ideas, primarily to show what is possible and what, currently, is of particular interest. Water waves of large amplitude can only be fully understood in terms of nonlinear effects, linear theory being not adequate for their description. Taking advantage of insights from physical observation, experimental evidence and numerical simulations, classical and modern mathematical approaches can be used to gain insight into their dynamics. The book presents several avenues and offers a wide range of material of current interest. The lectures provide a useful source for those who want to begin to investigate how mathematics can be used to improve our understanding of water wave phenomena. In addition, some of the material can be used by those who are already familiar with one branch of the study of water waves, to learn more about other areas.
The Social Republic had its own Public Security structure, the Republican Police Corps, formed by a kind of dual soul: one territorial, engaged in the institutional tasks of the Police, and one more distinctly a child of the tremendous period that was being experienced, devoted mainly to the persecution of the political opponents of fascism, the partisans, and the hunting of jews. At times these two souls interpenetrated, although the division remained very sharp. Until now very little has been written about the events of the Republican Police, research has focused, for different and sometimes opposing reasons, mainly on those para-police units, often known as "gangs," devoted to the most violent and cruel activities, which operated mostly in close dependence with the Germanic commands. What has been left out, however, is the more institutional aspect of the Republican police, in whose ranks militated a great many honest and probable men, who, in many cases, also worked to save Jews or secretly militated in the Resistance. Far from having made a systematic and exhaustive study, an attempt has been made in these pages to summarize all aspects characterizing the structure of the police during the period of the Italian Social Republic.
Among the theses that for centuries have ensured Niccolò Machiavelli an ambiguous fame, a special place goes to his extremely positive opinion of social conflicts, and, more in particular, to the claim that in ancient Rome 'the disunion between the plebs and the Roman senate made that republic free and powerful' (Discourses on Livy I.4). Contrary to a long tradition that had always highly valued civic concord, Machiavelli thought that - at least under certain conditions - internecine discord could be a source of strength and not of weakness, and built upon this daring proposition an original vision of political order. Machiavelli in Tumult (originally published in Italian in 2011) is the first book-length study entirely devoted to analyzing this idea, its ancient roots (never before identified), its enduring (but often invisible) influence up until the American and the French Revolution (and beyond), and its relevance for contemporary political theory.
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