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Pierre-Francois Verhulst, with his seminal work using the logistic map to describe population growth and saturation, paved the way for the many applications of this tool in modern mathematics, physics, chemistry, biology, economics and sociology. Indeed nowadays the logistic map is considered a useful and paradigmatic showcase for the route leading to chaos. This volume gathers contributions from some of the leading specialists in the field to present a state-of-the art view of the many ramifications of the developments initiated by Verhulst over a century ago.
Both the special sciences and ordinary experience suggest that there are metaphysically emergent entities and features: macroscopic goings-on (including mountains, trees, humans, and sculptures, and their characteristic properties) which depend on, yet are distinct from and distinctively efficacious with respect to, lower-level physical configurations and features. These appearances give rise to two key questions. First, what is metaphysical emergence, more precisely? Second, is there any metaphysical emergence, in principle and moreover in fact? Metaphysical Emergence provides clear and systematic answers to these questions. Wilson argues that there are two, and only two, forms of metaphysi...
Magneto-Optical Imaging has developed rapidly over the last decade to emerge as a leading technique to directly visualise the static and dynamic magnetic behaviour of materials, capable of following magnetic processes on the scale of centimeters to sub-microns and at timescales from hours to nanoseconds. The images are direct, real-time, and give space-resolved information, such as ultrafast magnetic processes and revealing the motion of individual vortices in superconductors. The book is a fully up-to-date report of the present status of the technique.
Eschewing the often standard dry and static writing style of traditional textbooks, Discrete Encounters provides a refreshing approach to discrete mathematics. The author blends traditional course topics and applications with historical context, pop culture references, and open problems. This book focuses on the historical development of the subject and provides fascinating details of the people behind the mathematics, along with their motivations, deepening readers’ appreciation of mathematics. This unique book covers many of the same topics found in traditional textbooks, but does so in an alternative, entertaining style that better captures readers’ attention. In addition to standard ...
Y a-t-il des lois en économie ? Cette question fait l'objet d'une interrogation à travers tout cet ouvrage. S'il n'y a pas de lois, alors en quoi l'économie peut-elle être l'objet d'une science ou d'un art ? S'il y a des lois, quelles sont-elles et comment la science économique se constitue-t-elle en les mettant au jour, en éprouvant leur validité empirique et en leur donnant un fondement rationnel ? Ces questions sont étudiées selon plusieurs directions : épistémologique, historique, analytique et philosophique.