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Author: Judith R. Goodstein
Publisher:
ISBN: 9781470438982
Category : Italy
Languages : en
Pages : 310
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Book Description
The life of Vito Volterra, one of the finest scientists and mathematicians Italy ever produced, spans the period from the unification of the Italian peninsula in 1860 to the onset of the Second World War-an era of unparalleled progress and unprecedented turmoil in the history of Europe. Born into an Italian Jewish family in the year of the liberation of Italy's Jewish ghettos, Volterra was barely in his twenties when he made his name as a mathematician and took his place as a leading light in Italy's modern scientific renaissance. By his early forties, he was a world-renowned mathematician, a.
Author: Judith R. Goodstein
Publisher:
ISBN: 9781470438982
Category : Italy
Languages : en
Pages : 310
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Book Description
The life of Vito Volterra, one of the finest scientists and mathematicians Italy ever produced, spans the period from the unification of the Italian peninsula in 1860 to the onset of the Second World War-an era of unparalleled progress and unprecedented turmoil in the history of Europe. Born into an Italian Jewish family in the year of the liberation of Italy's Jewish ghettos, Volterra was barely in his twenties when he made his name as a mathematician and took his place as a leading light in Italy's modern scientific renaissance. By his early forties, he was a world-renowned mathematician, a.
Author: Paul Humphreys
Publisher: Routledge
ISBN: 1136668497
Category : Philosophy
Languages : en
Pages : 330
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Book Description
Although scientific models and simulations differ in numerous ways, they are similar in so far as they are posing essentially philosophical problems about the nature of representation. This collection is designed to bring together some of the best work on the nature of representation being done by both established senior philosophers of science and younger researchers. Most of the pieces, while appealing to existing traditions of scientific representation, explore new types of questions, such as: how understanding can be developed within computational science; how the format of representations matters for their use, be it for the purpose of research or education; how the concepts of emergence and supervenience can be further analyzed by taking into account computational science; or how the emphasis upon tractability--a particularly important issue in computational science--sheds new light on the philosophical analysis of scientific reasoning.
Author: Benedetto Bongiorno
Publisher: Springer
ISBN: 3319786679
Category : Mathematics
Languages : en
Pages : 317
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Book Description
This book examines the life and work of mathematician Giovanni Battista Guccia, founder of the Circolo Matematico di Palermo and its renowned journal, the Rendiconti del Circolo matematico di Palermo. The authors describe how Guccia, an Italian geometer, was able to establish a mathematical society in Sicily in the late nineteenth century, which by 1914 would grow to become the largest and most international in the world, with one of the most influential journals of the time. The book highlights the challenges faced by Guccia in creating an international society in isolated Palermo, and places Guccia’s activities in the wider European context through comparisons with the formation of the London Mathematical Society and the creation of Mittag-Leffler’s Acta Mathematica in Stockholm. Based on extensive searches in European archives, this scholarly work follows both historical and scientific treads, and will appeal to those interested in the history of mathematics and science in general.
Author: Eckart Menzler-Trott
Publisher: American Mathematical Soc.
ISBN: 1470428121
Category : Mathematics
Languages : en
Pages : 466
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Book Description
Gerhard Gentzen (1909–1945) is the founder of modern structural proof theory. His lasting methods, rules, and structures resulted not only in the technical mathematical discipline called “proof theory” but also in verification programs that are essential in computer science. The appearance, clarity, and elegance of Gentzen's work on natural deduction, the sequent calculus, and ordinal proof theory continue to be impressive even today. The present book gives the first comprehensive, detailed, accurate scientific biography expounding the life and work of Gerhard Gentzen, one of our greatest logicians, until his arrest and death in Prague in 1945. Particular emphasis in the book is put on the conditions of scientific research, in this case mathematical logic, in National Socialist Germany, the ideological fight for “German logic”, and their mutual protagonists. Numerous hitherto unpublished sources, family documents, archival material, interviews, and letters, as well as Gentzen's lectures for the mathematical public, make this book an indispensable source of information on this important mathematician, his work, and his time. The volume is completed by two deep substantial essays by Jan von Plato and Craig Smoryński on Gentzen's proof theory; its relation to the ideas of Hilbert, Brouwer, Weyl, and Gödel; and its development up to the present day. Smoryński explains the Hilbert program in more than the usual slogan form and shows why consistency is important. Von Plato shows in detail the benefits of Gentzen's program. This important book is a self-contained starting point for any work on Gentzen and his logic. The book is accessible to a wide audience with different backgrounds and is suitable for general readers, researchers, students, and teachers.
Author: Ian Billick
Publisher: University of Chicago Press
ISBN: 0226050440
Category : Science
Languages : en
Pages : 479
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Book Description
Ecologists can spend a lifetime researching a small patch of the earth, studying the interactions between organisms and the environment, and exploring the roles those interactions play in determining distribution, abundance, and evolutionary change. With so few ecologists and so many systems to study, generalizations are essential. But how do you extrapolate knowledge about a well-studied area and apply it elsewhere? Through a range of original essays written by eminent ecologists and naturalists, The Ecology of Place explores how place-focused research yields exportable general knowledge as well as practical local knowledge, and how society can facilitate ecological understanding by investing in field sites, place-centered databases, interdisciplinary collaborations, and field-oriented education programs that emphasize natural history. This unique patchwork of case-study narratives, philosophical musings, and historical analyses is tied together with commentaries from editors Ian Billick and Mary Price that develop and synthesize common threads. The result is a unique volume rich with all-too-rare insights into how science is actually done, as told by scientists themselves.
Author: Tilman Sauer
Publisher: Springer
ISBN: 3319302299
Category : Science
Languages : en
Pages : 294
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Book Description
This volume collects reflections on the role of philosophy in case studies in the history of science. Case studies have played a prominent role in recent history and philosophy of science. They have been used to illustrate, question, explore, or explicate philosophical points of view. Even if not explicitly so, historical narratives are always guided by philosophical background assumptions. But what happens if different philosophies lead to different narratives of the same historical episodes? Can historical case studies decide between competing philosophical viewpoints? What are the criteria that a case study has to fulfill in order to be philosophically relevant? Bringing together leading practitioners in the fields of history and philosophy of the physical and the life sciences, this volume addresses this methodological problem and proposes ways of rendering explicit philosophical assumptions of historical work.
Author: Stamatia Portanova
Publisher: MIT Press
ISBN: 0262551179
Category : Art
Languages : en
Pages : 194
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Book Description
A radically empirical exploration of movement and technology and the transformations of choreography in a digital realm. Digital technologies offer the possibility of capturing, storing, and manipulating movement, abstracting it from the body and transforming it into numerical information. In Moving without a Body, Stamatia Portanova considers what really happens when the physicality of movement is translated into a numerical code by a technological system. Drawing on the radical empiricism of Gilles Deleuze and Alfred North Whitehead, she argues that this does not amount to a technical assessment of software's capacity to record motion but requires a philosophical rethinking of what movement itself is, or can become. Discussing the development of different audiovisual tools and the shift from analog to digital, she focuses on some choreographic realizations of this evolution, including works by Loie Fuller and Merce Cunningham. Throughout, Portanova considers these technologies and dances as ways to think—rather than just perform or perceive—movement. She distinguishes the choreographic thought from the performance: a body performs a movement, and a mind thinks or choreographs a dance. Similarly, she sees the move from analog to digital as a shift in conception rather than simply in technical realization. Analyzing choreographic technologies for their capacity to redesign the way movement is thought, Moving without a Body offers an ambitiously conceived reflection on the ontological implications of the encounter between movement and technological systems.
Author:
Publisher:
ISBN:
Category : English essays
Languages : en
Pages : 900
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Book Description
Author: Edward Lee Stuart Horsburgh
Publisher:
ISBN:
Category : Florence (Italy)
Languages : en
Pages : 604
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Book Description
Author: Thomas Sonar
Publisher: Springer Nature
ISBN: 303058223X
Category : Mathematics
Languages : en
Pages : 717
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Book Description
What exactly is analysis? What are infinitely small or infinitely large quantities? What are indivisibles and infinitesimals? What are real numbers, continuity, the continuum, differentials, and integrals? You’ll find the answers to these and other questions in this unique book! It explains in detail the origins and evolution of this important branch of mathematics, which Euler dubbed the “analysis of the infinite.” A wealth of diagrams, tables, color images and figures serve to illustrate the fascinating history of analysis from Antiquity to the present. Further, the content is presented in connection with the historical and cultural events of the respective epochs, the lives of the scholars seeking knowledge, and insights into the subfields of analysis they created and shaped, as well as the applications in virtually every aspect of modern life that were made possible by analysis.
