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Mathematics and Culture I
A fascinating and insightful collection of papers on the strong links between mathematics and culture. The contributions range from cinema and theatre directors to musicians, architects, historians, physicians, graphic designers and writers. The text highlights the cultural and formative character of mathematics, its educational value, and imaginative dimension. These articles are highly interesting, sometimes amusing, and make excellent starting points for researching the strong connection between scientific and literary culture.
The World as a Mathematical Game
Galileo and Newton’s work towards the mathematisation of the physical world; Leibniz’s universal logical calculus; the Enlightenment’s mathématique sociale. John von Neumann inherited all these aims and philosophical intuitions, together with an idea that grew up around the Vienna Circle of an ethics in the form of an exact science capable of guiding individuals to make correct decisions. With the help of his boundless mathematical capacity, von Neumann developed a conception of the world as a mathematical game, a world globally governed by a universal logic in which individual consciousness moved following different strategies: his vision guided him from set theory to quantum mechanics, to economics and to his theory of automata (anticipating artificial intelligence and cognitive science). This book provides the first comprehensive scientific and intellectual biography of John von Neumann, a man who perhaps more than any other is representative of twentieth century science.
Determinism, Holism, and Complexity
Determinism, holism and complexity: three epistemological attitudes that have easily identifiable historical origins and developments. Galileo believed that it was necessary to "prune the impediments" to extract the mathematical essence of physical phenomena, to identify the math ematical structures representing the underlying laws. This Galilean method was the key element in the development of Physics, with its extraordinary successes. Nevertheless the method was later criticized because it led to a view of nature as essentially "simple and orderly", and thus by choosing not to investigate several charac teristics considered as an "impediment", several essential aspects of the phenomenon un...
Technological Concepts and Mathematical Models in the Evolution of Modern Engineering Systems
This collection of historical research studies covers the evolution of technology as knowledge, the emergence of an autonomous engineering science in the Industrial Age, the idea of scientific managment of production and operation systems, and the interaction between mathematical models and technological concepts. The book is published with the support of the UNESCO Venice Office - Regional Office for Science & Technology in Europe as an activity of the Project: The evolution of events, concepts and models in engineering systems.
How Economics Became a Mathematical Science
DIVDiscusses the history of 20th century economics, and how it has become dominated by mathematical approaches./div
The Invisible Hand
This study of the fundamental theoretical underpinnings of modern economies examines how economists define and categorize the market. It suggests that modeling a social science such as economics on the physical/mathematical sciences has created intractable problems, and that the basic structure of the theory needs rethinking.A meticulously researched work in the field of mathematical economics and pure theory, The Invisible Hand traces the evolution of general economic equilibrium theory in its rich interaction with the physical sciences over a period of more than 150 years. The authors discuss how the "invisible hand" that balances physical processes was inspiration and model for the creati...
The Biology of Numbers
Foreword The modern developments in mathematical biology took place roughly between 1920 and 1940, a period now referred to as the "Golden Age of Theoretical Biology". The eminent Italian mathematician Vito Volterra played a decisive and widely acknowledged role in these developments. Volterra's interest in the application of mathematics to the non physical sciences, and to biology and economics in particular, dates back to the turn of the century and was expressed in his inaugural address at the University of Rome for the academic year 1900/01 (VOLTERRA 1901). Nevertheless, it was only in the mid-twenties that Volterra entered the field in person, at the instigation of his son in law, Umber...
The Application of Mathematics to the Sciences of Nature
The Application of Mathematics to the Natural Sciences brings together scientists and historians of science to discuss how, in an increasingly interdisciplinary manner, mathematics and mathematical models are used in the natural sciences.
Virginio Gayda, the Yugoslav Question and the Italian Irredenta
This is a study of the early writings of Virginio Gayda (1885-1944), a talented but amoral Italian journalist whose career spanned two world wars. A keen observer, prolific writer and propagandist during his stint as the newspaper La Stampa’s special correspondent in Habsburg Vienna, Gayda lent his considerable skills to promote an aggressive foreign policy. No one did more than he to poison relations between the Italian and Yugoslav peoples. His is the story of a respected journalist who chose an ultranationalist path to fascism and international fame. Not uninfluenced by rank careerism and material reward he forsook his roots to embrace the antisemitic “race” laws of 1938 and Italy’s disastrous partnership with Nazi Germany.
