Archimedes in the 21st Century: Proceedings of a World Conference at the Courant Institute of Mathematical Sciences (Trends in the History of Science)

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. Read more... Abstract: 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. Read more... Content: Dedication Preface Acknowledgments References Contents Archimedes the Pragmatic Engineer Introduction Post-Archimedes (CE) The Historical Record The Sycarusia The Archimedes Screw Archimedean Astronomical Devices The Pulley, Multiple Pulley, and Catapult Machines of War Archimedes' Principle Concluding Remarks References Web Resources Archimedes the Military Engineer Introduction 213 BCE: Archimedes and the Defense-in-Depth of Syracuse Against the Romans 1866: The Screw Propeller and the Ram: Naval Defense-in-Depth. 1940: The Maginot Line: A Case of Failure of Defense-in-Depth 2013: Cyber Defense-in-Depth for the Twenty-First Century Conclusions Bibliography Archimedes and the Siege of Syracuse The Screw Propeller and the Ram The Maginot Line Cyberdefense Archimedes the Geometer Archimedes' Tombstone Result Solids Besides Cylinders with the Double Ratio 3:2 Other Solids with Double Ratios, But Not Necessarily 3:2 Simple Solids with a Common Double Ratio Other Than 3:2 Circum-Solids with the Double Ratio 1:1 Analogies of Archimedes' Tombstone Result in Higher Spaces. How Archimedes Balanced the Volume of His Cylindrical Wedge Discovering New Results Using the Double Balance How "2:N-Grave" ("To Engrave") Archimedes' Hyper-Tombstone Other Archimedean Discoveries About Spheres Concluding Remarks Bibliography Archimedes the Mathematician Archimedes' Cattle Problem Stomachion Puzzle Floating Bodies Archimedes Screw Centers of Gravity The Archimedes Palimpsest References Archimedes and Ship Design Introduction Archimedes Precursors On Floating Bodies Preparations The Law of the Lever The Method of Exhaustion. The Method of Mechanical Theorems The Principle of Archimedes The Eureka Legend Hydrostatic Stability of Floating Objects Achievements and Deficits Archimedes' Role in Practical Ship Design The Heritage The Commentators The Manuscripts Codex C The Treatisers Stevin, Galileo, Huygens Calculus Bouguer and Euler Chapman and Atwood Archimedes in Modern Ship Design Scope Developments and Trends in Ship Design for Safety Overview Classification Societies National and International Rules and Conventions: The Load Line Damage Stability. Protection of the Environment Risk-Based Ship Design Formal Safety Assessment Trends in Ship Design for Safety Conclusions References Archimedes Screw in the Twenty-First Century Introduction Historical Overview Drainage and Irrigation Hydropower Screw Conclusions References Archimedes, Astronomy, and the Planetarium Archimedes in the Twenty-First Century Imagination Part Two: The Fictional Archimedes Notes and References Author Index Subject Index. "​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. "-- Provided by publisher "​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."--Back cover