This book challenges the views put forward by Pierre Cartier, one of the anchors of the famous Bourbaki group, and Cédric Villani, one of the most brilliant mathematicians of his generation, who received the Fields Medal in 2010. Jean Dhombres, mathematician and science historian, and Gerhard Heinzmann, philosopher of science and also a specialist in mathematics engage in a fruitful dialogue with the two mathematicians, prompting readers to reflect on mathematical activity and its social consequences in history as well as in the modern world. Cédric Villani's popular success proves once again that a common awareness has developed, albeit in a very confused way, of the major role of mathematics in the construction and efficiency of natural sciences, which are at the origin of our technologies. Despite this, the idea that mathematics cannot be shared remains firmly entrenched, a perceived failing that has even been branded a lack of culture by vocal forces in the media as well as cultural and political establishment. The authors explore three major directions in their dialogue: the highly complex relationship between mathematics and reality, the subject of many debates and opposing viewpoints; the freedom that the construction of mathematics has given humankind by enabling them to develop the natural sciences as well as mathematical research; and the responsibility with which the scientific community and governments should address the role of mathematics in research and education policies.
Evangelista Torricelli exemplifies the use the moderns made of the ancients' mathematical methods. Celebrating Evangelista Torricelli's monumental Opera geometrica, this book marks 380 years since its publication (1644-2024). This homage to Torricelli introduces the magnificent major work in Mechanics and Mathematics of a brilliant Archimedean-and-Galilean scientist to modern readers.Opera geometrica deals with Motion & Mechanics and Geometry & Infinitesimals. In quibus Archimedis doctrina Torricelli also presents his mechanical principle of equilibrium - the foundation of the modern Principle of Virtual Work/Static.
This outstanding source and research book spotlights the relevance and originality of Torricelli's Mechanics, and is the first and most profound analysis of the Opera geometrica to date. The historical study is achieved in extensive Introduction, 5 Essays and an accurate Transcription of Opera geometrica with parallel side-by-side text, including substantive explicative notes. The book is an accessible avenue to understanding this work by leading authorities who offer much-needed insights into the relationship Physics-Mathematics, Mechanics and Fundamentals. It appeals to historians, epistemologists and scientists.
This open-access volume accompanies the microdata release of the EU Loneliness Survey.
Loneliness, often referred to as the `epidemic of the 21st century', has emerged as a grave public health concern. For years, a lack of comprehensive European cross-national data hindered a thorough examination of this issue. In 2022, the European Commission's Joint Research Centre conducted the inaugural EU Loneliness Survey, covering around 30,000 individuals in 27 European nations. The book sheds light on who is most affected by loneliness, identifies contributing experiences and behaviours, addresses the stigmatisation of loneliness and discusses its societal impact. Furthermore, it emphasises the importance of interventions to combat loneliness. Finally, the book discusses the challenges of survey design and offers valuable insights for the monitoring of loneliness in Europe in the future. This makes the book a must-read for scholars and academics interested in population economics, public health and social well-being.
