November 24, 2020

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The Archimedes Palimpsest

The Archimedes Palimpsest
Author : Reviel Netz,William Noel,Nigel Wilson,Natalie Tchernetska
Publisher : Cambridge University Press
Release Date : 2011-11-24
Category : History
Total pages :352
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The Archimedes Palimpsest is the name given to a Byzantine prayer-book which was written over a number of earlier manuscripts. This volume provides colour images and transcriptions of three of the texts recovered from it. Pride of place goes to the treatises of Archimedes, including the only Greek version of Floating Bodies, and the unique copies of Method and Stomachion. This transcription provides many different readings from those made by Heiberg from what he termed Codex C in his edition of the works of Archimedes of 1910-1915. Secondly, fragments of two previously unattested speeches by the Athenian orator Hyperides, which are the only Hyperides texts ever to have been found in a codex. Thirdly, a fragment from an otherwise unknown commentary on Aristotle's Categories. In each case advanced image-processing techniques have been used to create the images, in order to make the text underneath legible.

Archimedes in the 21st Century

Archimedes in the 21st Century
Author : Chris Rorres
Publisher : Birkhäuser
Release Date : 2017-08-26
Category : Mathematics
Total pages :160
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​This book is a collection of papers presented at the “Archimedes in the 21st Century” world conference, held at the Courant Institute of Mathematical Sciences in 2013. This conference focused on the enduring and continuing influence of Archimedes in our modern world, celebrating his centuries of influence on mathematics, science, and engineering. Archimedes planted the seeds for a myriad of seminal ideas that would grow over the ages. Each chapter surveys the growth of one or more of these seeds, and the fruit that they continue to bear to this day. The conference speakers contributing to this book are actively involved in STEM fields whose origins trace back to Archimedes, many of whom have conducted and published research that extends Archimedes’ work into the 21st century. The speakers are not historians, so while historical context is provided, this book is uniquely focused on the works themselves as opposed to their history. The breadth and depth of Archimedes’ influence will inspire, delight, and even surprise readers from a variety of fields and interests including historians, mathematicians, scientists, and engineers. Only a modest background in math is required to read this book, making it accessible to curious readers of all ages.

The Social Integration of Science

The Social Integration of Science
Author : Gotthard Bechmann
Publisher : edition sigma
Release Date : 2009
Category : Information society
Total pages :311
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The Works of Archimedes

The Works of Archimedes
Author : Archimedes
Publisher : Unknown
Release Date : 1897
Category : Geometry
Total pages :326
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The Genius of Archimedes -- 23 Centuries of Influence on Mathematics, Science and Engineering

The Genius of Archimedes -- 23 Centuries of Influence on Mathematics, Science and Engineering
Author : S. A. Paipetis,Marco Ceccarelli
Publisher : Springer Science & Business Media
Release Date : 2010-05-25
Category : Technology & Engineering
Total pages :515
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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).

Discourse on Bodies in Water

Discourse on Bodies in Water
Author : Galileo Galilei
Publisher : Unknown
Release Date : 2013-04
Category :
Total pages :116
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The Metallurgy of Roman Silver Coinage

The Metallurgy of Roman Silver Coinage
Author : Kevin Butcher,Matthew Ponting
Publisher : Cambridge University Press
Release Date : 2015-04-02
Category : Antiques & Collectibles
Total pages :830
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"The fineness of Roman imperial and provincial coinage has been regarded as an indicator of the broader fiscal health of the Roman Empire, with the apparent gradual decline of the silver content being treated as evidence for worsening deficits and the contraction of the supply of natural resources from which the coins were made. This book explores the composition of Roman silver coinage of the first century AD, re-examining traditional interpretations in the light of an entirely new programme of analysesof the coins, which illustrates the inadequacy of many earlier analytical projects. In addition, minor and trace elements, and lead isotopes, provide evidence for the supply of materials and refining and minting technology. Sometimes this allows us to determine the origin of the metal, whether freshly mined, or recycled. It can even pinpoint likely episodes of recycling old coins and, when combined with the study of hoards, hint at possible strategies of stockpiling of metal. The creation of reserves hasa direct bearing on the question of the adequacy of revenues and fiscal health"--

Archimedes

Archimedes
Author : Sherman Stein
Publisher : MAA
Release Date : 1999-09-02
Category : Biography & Autobiography
Total pages :155
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This book looks carefully at Archimedes' fundamental advances in the fields of geometry, mechanics, and hydrostatics.

Archimedes, the Center of Gravity, and the First Law of Mechanics

Archimedes, the Center of Gravity, and the First Law of Mechanics
Author : André Koch Torres Assis
Publisher : Unknown
Release Date : 2008
Category : Biography & Autobiography
Total pages :187
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Archimedes, the Center of Gravity, and the First Law of Mechanics deals with the most fundamental aspects of physics. The book describes the main events in the life of Archimedes and the content of his works. It goes on to discuss a large number of experiments relating to the equilibrium of suspended bodies under the influence of Earth's gravitational force. All experiments are clearly described and performed with simple, inexpensive materials. These experiments lead to a clear conceptual definition of the center of gravity of material bodies and illustrate practical procedures for locating it precisely. The conditions of stable, neutral, and unstable equilibrium are analyzed. Many equilibrium toys and games are described and explained. Historical aspects of the concept are presented, together with the theoretical values of center of gravity obtained by Archimedes. The book also explains how to build and calibrate precise balances and levers. Several experiments are performed leading to a mathematical definition of the center of gravity and the first law of mechanics, also called the law of the lever. Consequences of this law and different explanations of it are described at the end of the book, together with an exhaustive analysis of the works of Euclid and Archimedes.

Archimedes in the Middle Ages

Archimedes in the Middle Ages
Author : Archimedes
Publisher : Unknown
Release Date : 1964
Category : Mathematics
Total pages :129
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An Introduction to Dynamical Systems

An Introduction to Dynamical Systems
Author : D. K. Arrowsmith,C. M. Place,C. H. Place,Arrowsmith/Place
Publisher : Cambridge University Press
Release Date : 1990-07-27
Category : Mathematics
Total pages :423
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Largely self-contained, this is an introduction to the mathematical structures underlying models of systems whose state changes with time, and which therefore may exhibit "chaotic behavior." The first portion of the book is based on lectures given at the University of London and covers the background to dynamical systems, the fundamental properties of such systems, the local bifurcation theory of flows and diffeomorphisms and the logistic map and area-preserving planar maps. The authors then go on to consider current research in this field such as the perturbation of area-preserving maps of the plane and the cylinder. The text contains many worked examples and exercises, many with hints. It will be a valuable first textbook for senior undergraduate and postgraduate students of mathematics, physics, and engineering.

The Archimedes Codex

The Archimedes Codex
Author : Reviel Netz,William Noel
Publisher : Weidenfeld & Nicolson
Release Date : 2011-10-13
Category : History
Total pages :320
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The story of the amazing discovery of Archimedes' lost works Drawings and writings by Archimedes, previously thought to have been destroyed, have been uncovered beneath the pages of a 13th-century monk's prayer book. These hidden texts, slowly being retrieved and deciphered by scientists, show that Archimedes' thinking (2,200 years ago) was even ahead of Isaac Newton in the 17th century. Archimedes discovered the value of Pi, he developed the theory of specific gravity and made steps towards the development of calculus. Everything we know about him comes from three manuscripts, two of which have disappeared. The third, currently in the Walters Art Museum, is a palimpsest - the text has been scraped off, the book taken apart and its parchment re-used, in this case as a prayer book. William Noel, the project director, and Reviel Netz, a historian of ancient mathematics, tell the enthralling story of the survival of that prayer book from 1229 to the present, and examine the process of recovering the invaluable text underneath as well as investigating into why that text is so important.

Dynamics and Bifurcations

Dynamics and Bifurcations
Author : Jack K. Hale,Hüseyin Kocak
Publisher : Springer Science & Business Media
Release Date : 2012-12-06
Category : Mathematics
Total pages :574
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In recent years, due primarily to the proliferation of computers, dynamical systems has again returned to its roots in applications. It is the aim of this book to provide undergraduate and beginning graduate students in mathematics or science and engineering with a modest foundation of knowledge. Equations in dimensions one and two constitute the majority of the text, and in particular it is demonstrated that the basic notion of stability and bifurcations of vector fields are easily explained for scalar autonomous equations. Further, the authors investigate the dynamics of planar autonomous equations where new dynamical behavior, such as periodic and homoclinic orbits appears.

Case Studies in Fluid Mechanics with Sensitivities to Governing Variables

Case Studies in Fluid Mechanics with Sensitivities to Governing Variables
Author : M. Kemal Atesmen
Publisher : Wiley-ASME Press Series
Release Date : 2019-01-14
Category : Technology & Engineering
Total pages :200
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Covers a wide range of practical fluid mechanics, heat transfer, and mass transfer problems This book covers the many issues that occur in practical fluid mechanics, heat transfer, and mass transfer, and examines the basic laws (the conservation of matter, conservation of momentum, conservation of energy, and the second law of thermodynamics) of these areas. It offers problem solutions that start with simplifying engineering assumptions and then identifies the governing equations and dependent and independent variables. When solutions to basic equations are not possible, the book utilizes historical experimental studies. It also looks at determining appropriate thermo-physical properties of the fluid under investigation, and covers solutions to governing equations with experimental studies. Case Studies in Fluid Mechanics with Sensitivities to Governing Variables offers chapters on: draining fluid from a tank; vertical rise of a weather balloon; wind drag forces on people; Venturi meter; fluid’s surface shape in a rotating cylindrical tank; range of an aircraft; designing a water clock; water turbine under a dam; centrifugal separation of particles; ideal gas flow in nozzles and diffusers; water supply from a lake to a factory; convection mass transfer through air-water interface; heating a room by natural convection; condensation on the surface of a vertical plate in laminar flow regime; bubble rise in a glass of beer; and more. Covers a broad spectrum of problems in practical fluid mechanics, heat transfer, and mass transfer Examines the basic laws of fluid mechanics, heat transfer and mass transfer Presents solutions to governing equations with experimental studies Case Studies in Fluid Mechanics with Sensitivities to Governing Variables will appeal to engineers working in thermo-physical sciences and graduate students in mechanical engineering.

Archimedis Opera omnia

Archimedis Opera omnia
Author : Archimedes,J.L. Heiberg
Publisher : Рипол Классик
Release Date : 1880
Category : History
Total pages :499
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