Author: Chris Rorres Publisher: Birkhäuser ISBN: 3319580590 Category : Mathematics Languages : en Pages : 160
Book Description
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.
Author: S. A. Paipetis Publisher: Springer Science & Business Media ISBN: 9048190916 Category : Technology & Engineering Languages : en Pages : 515
Book Description
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 These proceedings contain original, unpublished papers with the primary emphasis on the scientific work of Archimedes and his influence on the fields of mathematics, science, and engineering.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).
Author: C. Mammana Publisher: Springer Science & Business Media ISBN: 9401152268 Category : Education Languages : en Pages : 353
Book Description
In recent years geometry seems to have lost large parts of its former central position in mathematics teaching in most countries. However, new trends have begun to counteract this tendency. There is an increasing awareness that geometry plays a key role in mathematics and learning mathematics. Although geometry has been eclipsed in the mathematics curriculum, research in geometry has blossomed as new ideas have arisen from inside mathematics and other disciplines, including computer science. Due to reassessment of the role of geometry, mathematics educators and mathematicians face new challenges. In the present ICMI study, the whole spectrum of teaching and learning of geometry is analysed. Experts from all over the world took part in this study, which was conducted on the basis of recent international research, case studies, and reports on actual school practice. This book will be of particular interest to mathematics educators and mathematicians who are involved in the teaching of geometry at all educational levels, as well as to researchers in mathematics education.
Author: Andrey V. Korotayev Publisher: Springer Nature ISBN: 3030337308 Category : History Languages : en Pages : 619
Book Description
This book introduces a 'Big History' perspective to understand the acceleration of social, technological and economic trends towards a near-term singularity, marking a radical turning point in the evolution of our planet. It traces the emergence of accelerating innovation rates through global history and highlights major historical transformations throughout the evolution of life, humans, and civilization. The authors pursue an interdisciplinary approach, also drawing on concepts from physics and evolutionary biology, to offer potential models of the underlying mechanisms driving this acceleration, along with potential clues on how it might progress. The contributions gathered here are divided into five parts, the first of which studies historical mega-trends in relation to a variety of aspects including technology, population, energy, and information. The second part is dedicated to a variety of models that can help understand the potential mechanisms, and support extrapolation. In turn, the third part explores various potential future scenarios, along with the paths and decisions that are required. The fourth part presents philosophical perspectives on the potential deeper meaning and implications of the trend towards singularity, while the fifth and last part discusses the implications of the Search for Extraterrestrial Intelligence (SETI). Given its scope, the book will appeal to scholars from various disciplines interested in historical trends, technological change and evolutionary processes.
Author: S A Paipetis Publisher: Springer ISBN: 9789048190928 Category : Languages : en Pages : 528
Book Description
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).
Author: Claire O'Neal Publisher: Mitchell Lane Publishers, Inc. ISBN: 161228499X Category : Juvenile Nonfiction Languages : en Pages : 48
Book Description
Archimedes of Syracuse (287 BCE-212 BCE) was so ahead of his time that even now we take many of his discoveries for granted. He calculated properties of circles, spheres, cylinders, and cones, writing equations that we still use today. He calculated [p] and came very close to discovering calculus, nearly beating Sir Isaac Newton by 2,000 years. He discovered why things float or sink. He learned why levers work. This creative genius saw math everywhere, from seashells to the fearsome war machines—like the catapult, missiles, and even a mirrored laser—he made to defend his hometown from the Roman navy. In the mind of this master of thought, math truly held the secrets to the universe.
Author: Chris Caple Publisher: Taylor & Francis ISBN: 1000876764 Category : Art Languages : en Pages : 276
Book Description
Conservation Skills for the 21st Century provides a much-needed update to the original Conservation Skills volume, presenting an overview of current issues facing conservators of historic and artistic works. Beginning with the basics – why the past is important, as well as an overview of the nature and history of conservation – the book allows the reader to develop a holistic appreciation of the subject. As with the first edition, this volume assists with the development of judgement in conservation students and young professionals. A selection of new case studies representing issues conservators are likely to face in the 21st century illustrates the crucial considerations that must be made when proposing and executing a conservation treatment. Incorporating recent developments and use of new technologies in conservation processes, the book also covers topics such as conservation ethics; recording and documentation; investigating and cleaning objects; stabilisation and restoration; values, decision-making, and responsibilities; preventive conservation; approaches to the treatment of working and socially active objects; sustainability in conservation; and the conservator’s role as advocate. With detailed case studies and written in a clear, accessible style, Conservation Skills for the 21st Century remains essential reading for student conservators and conservation professionals around the globe working across a wide range of conservation disciplines.
Author: Reviel Netz Publisher: Da Capo Press ISBN: 078674538X Category : History Languages : en Pages : 352
Book Description
At a Christie's auction in October 1998, a battered medieval manuscript sold for two million dollars to an anonymous bidder, who then turned it over to the Walters Art Museum in Baltimore for further study. The manuscript was a palimpsest-a book made from an earlier codex whose script had been scraped off and the pages used again. Behind the script of the thirteenth-century monk's prayer book, the palimpsest revealed the faint writing of a much older, tenth-century manuscript. Part archaeological detective story, part science, and part history, The Archimedes Codex tells the extraordinary story of this lost manuscript, from its tenth-century creation in Constantinople to the auction block at Christie's, and how a team of scholars used the latest imaging technology to reveal and decipher the original text. What they found was the earliest surviving manuscript by Archimedes (287 b.c.-212 b.c.), the greatest mathematician of antiquity-a manuscript that revealed, for the first time, the full range of his mathematical genius, which was two thousand years ahead of modern science.
Author: Brett D. Steele Publisher: MIT Press ISBN: 9780262195164 Category : Science Languages : en Pages : 420
Book Description
Essays analyze the connections between science and technology and military power in the late medieval, Renaissance, and Enlightenment periods. The integration of scientific knowledge and military power began long before the Manhattan Project. In the third century BC, Archimedes was renowned for his research in mechanics and mathematics as well as for his design and coordination of defensive siegecraft for Syracuse during the Second Punic War. This collection of essays examines the emergence during the early modern era of mathematicians, chemists, and natural philosophers who, along with military engineers, navigators, and artillery officers, followed in the footsteps of Archimedes and synthesized scientific theory and military practice. It is the first collaborative scholarly assessment of these early military-scientific relationships, which have been long neglected by scholars both in the history of science and technology and in military history. From a historical perspective, this volume investigates the deep connections between two central manifestations of Western power, examining the military context of the Scientific Revolution and the scientific context of the Military Revolution. Unlike the classic narratives of the Scientific Revolution that focus on the theories of, and conflicts between, Aristotelian and Platonic worldviews, this volume highlights the emergence of the Archimedean ideal--in which a symbiosis exists between the supply of mechanistic science and the demand for military capability. From a security-studies perspective, this work presents an in-depth study of the central components of military power as well as their dynamic interactions in the political, acquisitional, operational, and tactical domains. The essays in this volume reveal the intellectual and cultural struggles to enhance the capabilities of these components--an exercise in transforming military power that remains relevant for today's armed forces. The volume sets the stage by examining the innovation of gunpowder weaponry in both the Christian and the Islamic states of the late medieval and Renaissance eras. It then explores such topics as the cultural resistance to scientific techniques and the relationship between early modern science and naval power--particularly the intersecting developments in mathematics and oceanic navigation. Other essays address the efforts of early practitioners and theorists of chemistry to increase the power and consistency of gunpowder. The final essays analyze the application of advanced scientific knowledge and Enlightenment ideals to the military engineering and artillery organizations of the eighteenth century. The volume concludes by noting the global spread of the Archimedean ideal during the nineteenth century as an essential means for resisting Western imperialism.
Author: Chris Rorres
Author: S. A. Paipetis
Author: C. Mammana
Author: Andrey V. Korotayev
Author: S A Paipetis
Author: Claire O'Neal
Author: Chris Caple
Author: Reviel Netz
Author: Brett D. Steele
Author: Archimedes