This book explores the topic of proximity and its relations in the design of contemporary urban fabrics and public spaces. The effects of the COVID-19 pandemic and reflections on the future of cities have lately shed light on the concept of proximity, which is intended as the relationship between communities and urban functions and as relations among people, built spaces, and open spaces. The proximity is a historic and fertile field of interest for American and Northern European urban studies; it is a spatial and social program seemingly surpassed by the styles and rhythms of contemporary city life, but today it is back in vogue with different purposes. Meanwhile, the action research developed by the Department of Architecture and Urban Studies at the Politecnico di Milano for the Municipality of Milan reached its conclusion (2018–2020). The research work focused on contextualizing the new M4 Metro line stations under construction, and jointed mobility flows and places, long-range networks and local ones, boosting the idea of metro stations as regenerative urban thresholds and urban platforms for enabling environmental, sustainable settlement, and active mobility systems. In other words, the action research for Milan shows how to achieve the concept of proximity in the urban design practice in a dense, stratified, and complex urban context.
1. Philosophy of Mathematics and Mathematical Practice in the Early Seventeenth Century p. 8 1.1 The Quaestio de Certitudine Mathematicarum p. 10 1.2 The Quaestio in the Seventeenth Century p. 15 1.3 The Quaestio and Mathematical Practice p. 24 2. Cavalieri's Geometry of Indivisibles and Guldin's Centers of Gravity p. 34 2.1 Magnitudes, Ratios, and the Method of Exhaustion p. 35 2.2 Cavalieri's Two Methods of Indivisibles p. 38 2.3 Guldin's Objections to Cavalieri's Geometry of Indivisibles p. 50 2.4 Guldin's Centrobaryca and Cavalieri's Objections p. 56 3. Descartes' Geometrie p. 65 3.1 Descartes' Geometrie p. 65 3.2 The Algebraization of Mathematics p. 84 4. The Problem of Continuity p. 92 4.1 Motion and Genetic Definitions p. 94 4.2 The "Causal" Theories in Arnauld and Bolzano p. 100 4.3 Proofs by Contradiction from Kant to the Present p. 105 5. Paradoxes of the Infinite p. 118 5.1 Indivisibles and Infinitely Small Quantities p. 119 5.2 The Infinitely Large p. 129 6. Leibniz's Differential Calculus and Its Opponents p. 150 6.1 Leibniz's Nova Methodus and L'Hopital's Analyse des Infiniment Petits p. 151 6.2 Early Debates with Cluver and Nieuwentijt p. 156 6.3 The Foundational Debate in the Paris Academy of Sciences p. 165 Appendix Giuseppe Biancani's De Mathematicarum Natura p. 178 Notes p. 213 References p. 249 Index p. 267.
The main objective of this book is to present a thorough update on stem cell research and the potential therapeutic applications of stem cells. The text is structured following a path that starts from the molecular basics and the biological properties of pluripotent, embryonic or reprogrammed stem cells, and it compares the different degrees of stemness, while describing the adult stem populations residing in the various tissues and organs of the human body. Starting from basic research, the book discusses examples of regenerative medicine that translate the experimental findings into clinical applications of cell therapy. Finally, the book reviews how stem cells represent a model to understand not only the physiological mechanisms that control their fate, but also the pathological mechanisms involved in the aberrant biology of cancer stem cells. Each chapter has been conceived by distinguished researchers in the field who provide detailed and updated contributions that distill knowledge in a very readable text.
This book explores the topic of proximity and its relations in the design of contemporary urban fabrics and public spaces. The effects of the COVID-19 pandemic and reflections on the future of cities have lately shed light on the concept of proximity, which is intended as the relationship between communities and urban functions and as relations among people, built spaces, and open spaces. The proximity is a historic and fertile field of interest for American and Northern European urban studies; it is a spatial and social program seemingly surpassed by the styles and rhythms of contemporary city life, but today it is back in vogue with different purposes. Meanwhile, the action research developed by the Department of Architecture and Urban Studies at the Politecnico di Milano for the Municipality of Milan reached its conclusion (2018–2020). The research work focused on contextualizing the new M4 Metro line stations under construction, and jointed mobility flows and places, long-range networks and local ones, boosting the idea of metro stations as regenerative urban thresholds and urban platforms for enabling environmental, sustainable settlement, and active mobility systems. In other words, the action research for Milan shows how to achieve the concept of proximity in the urban design practice in a dense, stratified, and complex urban context.
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