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

1. Front Matter

   Pages i-x

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2. Legacy and Influence in Mathematics

   1. Front Matter

      Pages 1-1

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3. Legacy and influence in Mathematics

   1. An Archimedean Research Theme: The Calculation of the Volume of Cylindrical Groins

      • Nicla Palladino

      Pages 3-15

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   2. On Archimedean Roots in Torricelli’s Mechanics

      • Raffaele Pisano, Danilo Capecchi

      Pages 17-27

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   3. Rational Mechanics and Science Rationnelle Unique

      • Johan Gielis, Diego Caratelli, Stefan Haesen, Paolo E. Ricci

      Pages 29-43

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   4. Archimedes and Caustics: A Twofold Multimedia and Experimental Approach

      • Assunta Bonanno, Michele Camarca, Peppino Sapia, Annarosa Serpe

      Pages 45-56

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   5. Archimedes’ Quadratures

      • Jean Christianidis, Apostolos Demis

      Pages 57-68

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   6. On Archimedes’ Pursuit Concerning Geometrical Analysis

      • Philippos Fournarakis, Jean Christianidis

      Pages 69-81

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4. Legacy and Influence in Engineering and Mechanisms Design

   1. Front Matter

      Pages 84-84

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5. Legacy and influence in Engineering and Mechanisms Design

   1. Simon Stevin and the Rise of Archimedean Mechanics in the Renaissance

      • Teun Koetsier

      Pages 85-111

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   2. Archimedes’ Cannons Against the Roman Fleet?

      • Cesare Rossi

      Pages 113-131

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   3. V-Belt Winding Along Archimedean Spirals During the Variator Speed Ratio Shift

      • Francesco Sorge

      Pages 133-147

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   4. Ancient Motors for Siege Towers

      • C. Rossi, S. Pagano, F. Russo

      Pages 149-162

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   5. From Archimedean Spirals to Screw Mechanisms – A Short Historical Overview

      • Hanfried Kerle, Klaus Mauersberger

      Pages 163-176

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   6. The Mechanics of Archimedes Towards Modern Mechanism Design

      • Marco Ceccarelli

      Pages 177-187

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   7. Archimedean Mechanical Knowledge in 17th Century China

      • Zhang Baichun, Tian Miao

      Pages 189-205

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   8. Archimedes Arabicus. Assessing Archimedes’ Impact on Arabic Mechanics and Engineering

      • Constantin Canavas

      Pages 207-212

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6. Legacy and Influence in Hydrostatics

   1. Front Matter

      Pages 214-214

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7. Legacy and influence in Hydraulics

   1. The Golden Crown: A Discussion

      • Felice Costanti

      Pages 215-225

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   2. The Heritage of Archimedes in Ship Hydrostatics: 2000 Years from Theories to Applications

      • Horst Nowacki

      Pages 227-249

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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 volume and density); Integral Calculus (Archimedes as the father of the integral calculus, method of exhaustion, approximation of pi, determination of areas and volumes); Mathematical Physics (Archimedes as the father of mathematical physics, Law of the Lever, Law of Buoyancy, Axiomatization of Physics); History of Mathematics and Mechanics (Archimedes’ influence in antiquity, the middle ages, the Renaissance, and modern times; his influence on Leonado da Vinci, Galileo, Newton, and other giants of science and mathematics); Ancient Machines and Mechanisms (catapults, water screws, iron hands, compound pulleys, planetaria, water clocks, celestial globes, the Antikythera Mechanism); Archimedean Solids (their rediscovery in the Rennaisance and their applications in materials science and chemistry); Archimedean Legends (how stories of golden crowns, eureka moments, naked runs, burning mirrors, steam cannons, etc., have influenced us through the ages, whether true or not); The Cattle Problem (how its 18th century rediscovery inspired the study of equations with integer solutions); Teaching the Ideas of Archimedes (how his life and works have influenced the teaching of science, mathematics, and engineering).

• Archimedes
• Galileo Galilei
• History of Mathematics
• Isaac Newton
• Leonardo da Vinci
• Renaissance
• Scientific Revolution
• education
• engineering
• hydrostatics
• integral calculus
• inventions
• machinery
• mathematics
• mechanics

• School of Engineering, University of Patras, Patras, Greece

  S. A. Paipetis

• Dipto. Meccanica, Strutture,, Ambiente e Territorio (DiMSAT), Università Cassino, Cassino, Italy

  Marco Ceccarelli

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