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The Path to Post-Galilean Epistemology
  • Language: en
  • Pages: 542

The Path to Post-Galilean Epistemology

  • Type: Book
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  • Published: 2017-07-08
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  • Publisher: Springer

This book casts new light on the process that in the sixteenth and seventeenth centuries led to a profound transformation in the study of nature with the emergence of mechanistic philosophy, the new mixed mathematics, and the establishment of the experimental approach. It is argued that modern European science originated from Hellenistic mathematics not so much because of rediscovery of the latter but rather because its “applied” components, namely mechanics, optics, harmonics, and astronomy, and their methodologies continued to be transmitted throughout the Middle Ages without serious interruption. Furthermore, it is proposed that these “applied” components played a role in their en...

History of Virtual Work Laws
  • Language: en
  • Pages: 491

History of Virtual Work Laws

The book presents a history of classical mechanics by focusing on issues of equilibrium. The historical point of view adopted here restricts attention to cases where the effectiveness of forces is assessed on the basis of the virtual motion of their points of application. For completeness, hints of the alternative approach are also referred, the Archimedean for ancient mechanics and the Newtonian for modern mechanics. The laws resulting from consideration of virtual motions are named laws of virtual work. The modern formulations of the principle of virtual work are only a particular form of them. The book begins with the first documented formulations of laws of virtual work in the IV century...

The Dialectic Relation Between Physics and Mathematics in the XIXth Century
  • Language: en
  • Pages: 193

The Dialectic Relation Between Physics and Mathematics in the XIXth Century

The aim of this book is to analyse historical problems related to the use of mathematics in physics as well as to the use of physics in mathematics and to investigate Mathematical Physics as precisely the new discipline which is concerned with this dialectical link itself. So the main question is: When and why did the tension between mathematics and physics, explicitly practised at least since Galileo, evolve into such a new scientific theory? The authors explain the various ways in which this science allowed an advanced mathematical modelling in physics on the one hand, and the invention of new mathematical ideas on the other hand. Of course this problem is related to the links between inst...

Epistemology and Natural Philosophy in the 18th Century
  • Language: en
  • Pages: 567

Epistemology and Natural Philosophy in the 18th Century

This book documents the process of transformation from natural philosophy, which was considered the most important of the sciences until the early modern era, into modern disciplines such as mathematics, physics, natural history, chemistry, medicine and engineering. It focuses on the 18th century, which has often been considered uninteresting for the history of science, representing the transition from the age of genius and the birth of modern science (the 17th century) to the age of prodigious development in the 19th century. Yet the 18th century, the century of Enlightenment, as will be demonstrated here, was in fact characterized by substantial ferment and novelty. To make the text more a...

Strength of Materials and Theory of Elasticity in 19th Century Italy
  • Language: en
  • Pages: 402

Strength of Materials and Theory of Elasticity in 19th Century Italy

  • Type: Book
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  • Published: 2014-11-20
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  • Publisher: Springer

This book examines the theoretical foundations underpinning the field of strength of materials/theory of elasticity, beginning from the origins of the modern theory of elasticity. While the focus is on the advances made within Italy during the nineteenth century, these achievements are framed within the overall European context. The vital contributions of Italian mathematicians, mathematical physicists and engineers in respect of the theory of elasticity, continuum mechanics, structural mechanics, the principle of least work and graphical methods in engineering are carefully explained and discussed. The book represents a work of historical research that primarily comprises original contributions and summaries of work published in journals. It is directed at those graduates in engineering, but also in architecture, who wish to achieve a more global and critical view of the discipline and will also be invaluable for all scholars of the history of mechanics.

Explorations in the History and Heritage of Machines and Mechanisms
  • Language: en
  • Pages: 392
Explorations in the History of Machines and Mechanisms
  • Language: en
  • Pages: 590

Explorations in the History of Machines and Mechanisms

This book contains the proceedings of HMM2012, the 4th International Symposium on Historical Developments in the field of Mechanism and Machine Science (MMS). These proceedings cover recent research concerning all aspects of the development of MMS from antiquity until the present and its historiography: machines, mechanisms, kinematics, dynamics, concepts and theories, design methods, collections of methods, collections of models, institutions and biographies.

The History of the Theory of Structures
  • Language: en
  • Pages: 1242

The History of the Theory of Structures

Zehn Jahre nach der 1. Auflage in englischer Sprache legt der Autor sein Buch The History of the Theory of Structures in wesentlich erweiterter Form vor, nunmehr mit dem Untertitel Searching for Equilibrium. Mit dem vorliegenden Buch lädt der Verfasser seine Leser zur Suche nach dem Gleichgewicht von Tragwerken auf Zeitreisen ein. Die Zeitreisen setzen mit der Entstehung der Statik und Festigkeitslehre eines Leonardo und Galilei ein und erreichen ihren ersten Höhepunkt mit den baustatischen Theorien über den Balken, Erddruck und das Gewölbe von Coulomb am Ende des 18. Jahrhunderts. Im folgenden Jahrhundert formiert sich die Baustatik mit Navier, Culmann, Maxwell, Rankine, Mohr, Castiglia...

Handbook of the History and Philosophy of Mathematical Practice
  • Language: en
  • Pages: 3221

Handbook of the History and Philosophy of Mathematical Practice

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The Genius of Archimedes -- 23 Centuries of Influence on Mathematics, Science and Engineering
  • Language: en
  • Pages: 499

The Genius of Archimedes -- 23 Centuries of Influence on Mathematics, Science and Engineering

Archimedes is held in high esteem by mathematicians, physicists and engineers as one of the most brilliant scientists of all time. These proceedings contain original, unpublished papers with the primary emphasis on the scientific work of Archimedes and his influence on the fields of mathematics, science, and engineering. There are also papers dealing with archaeological aspects and the myths and legends about Archimedes and about the Archimedes Palimpsest. Papers on the following subjects form part of the book: Hydrostatics (buoyancy, fluid pressure and density, stability of floating bodies); Mechanics (levers, pulleys, centers of gravity, laws of equilibrium); Pycnometry (measurement of vol...