The Works of Archimedes

Author: Archimedes

Publisher: Courier Corporation

ISBN: 0486154394

Category: Mathematics

Page: 576

View: 7923

Complete works of ancient geometer feature such topics as the famous problems of the ratio of the areas of a cylinder and an inscribed sphere; the properties of conoids, spheroids, and spirals; more.

The Works of Archimedes: Volume 2, On Spirals

Translation and Commentary

Author: Archimedes

Publisher: Cambridge University Press

ISBN: 1108186203

Category: Philosophy

Page: N.A

View: 4355

This is the second volume of the first fully-fledged English translation of the works of Archimedes - antiquity's greatest scientist and one of the most important scientific figures in history. It covers On Spirals and is based on a reconsideration of the Greek text and diagrams, now made possible through new discoveries from the Archimedes Palimpsest. On Spirals is one of Archimedes' most dazzling geometrical tours de force, suggesting a manner of 'squaring the circle' and, along the way, introducing the attractive geometrical object of the spiral. The form of argument, no less than the results themselves, is striking, and Reviel Netz contributes extensive and insightful comments that focus on Archimedes' scientific style, making this volume indispensable for scholars of classics and the history of science, and of great interest for the scientists and mathematicians of today.

Archimedes to Hawking

Laws of Science and the Great Minds Behind Them

Author: Clifford Pickover

Publisher: Oxford University Press

ISBN: 9780199792689

Category: Science

Page: 528

View: 7398

Archimedes to Hawking takes the reader on a journey across the centuries as it explores the eponymous physical laws--from Archimedes' Law of Buoyancy and Kepler's Laws of Planetary Motion to Heisenberg's Uncertainty Principle and Hubble's Law of Cosmic Expansion--whose ramifications have profoundly altered our everyday lives and our understanding of the universe. Throughout this fascinating book, Clifford Pickover invites us to share in the amazing adventures of brilliant, quirky, and passionate people after whom these laws are named. These lawgivers turn out to be a fascinating, diverse, and sometimes eccentric group of people. Many were extremely versatile polymaths--human dynamos with a seemingly infinite supply of curiosity and energy and who worked in many different areas in science. Others had non-conventional educations and displayed their unusual talents from an early age. Some experienced resistance to their ideas, causing significant personal anguish. Pickover examines more than 40 great laws, providing brief and cogent introductions to the science behind the laws as well as engaging biographies of such scientists as Newton, Faraday, Ohm, Curie, and Planck. Throughout, he includes fascinating, little-known tidbits relating to the law or lawgiver, and he provides cross-references to other laws or equations mentioned in the book. For several entries, he includes simple numerical examples and solved problems so that readers can have a hands-on understanding of the application of the law. A sweeping survey of scientific discovery as well as an intriguing portrait gallery of some of the greatest minds in history, this superb volume will engage everyone interested in science and the physical world or in the dazzling creativity of these brilliant thinkers.


What Did He Do Beside Cry Eureka?

Author: Sherman Stein

Publisher: MAA

ISBN: 9780883857182

Category: Biography & Autobiography

Page: 155

View: 5849

This book looks carefully at Archimedes' fundamental advances in the fields of geometry, mechanics, and hydrostatics.

The Archimedes Palimpsest

Author: Reviel Netz,William Noel,Nigel Wilson,Natalie Tchernetska

Publisher: Cambridge University Press

ISBN: 9781107014374

Category: History

Page: 352

View: 1805

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.

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

Proceedings of an International Conference held at Syracuse, Italy, June 8-10, 2010

Author: S. A. Paipetis,marco ceccarelli

Publisher: Springer Science & Business Media

ISBN: 9789048190911

Category: Technology & Engineering

Page: 515

View: 2049

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).

Two Millennia of Mathematics

From Archimedes to Gauss

Author: George M. Phillips

Publisher: Springer Science & Business Media

ISBN: 1461211808

Category: Mathematics

Page: 223

View: 7744

A collection of inter-connected topics in areas of mathematics which particularly interest the author, ranging over the two millennia from the work of Archimedes to the "Werke" of Gauss. The book is intended for those who love mathematics, including undergraduate students of mathematics, more experienced students and the vast unseen host of amateur mathematicians. It is equally a useful source of material for those who teach mathematics.

Eureka Man

The Life and Legacy of Archimedes

Author: Alan Hirshfeld

Publisher: Bloomsbury Publishing USA

ISBN: 9780802719799

Category: Science

Page: 256

View: 4049

Many of us know little about Archimedes other than his "Eureka" exclamation upon discovering that he could immerse an object in a full tub of water and measure the spillage to determine the object's weight. That seemingly simple observation not only proved to King Hieron II of Syracuse that a certain amount of silver had been used in what was supposed to be his solid-gold crown, it established the key principles of buoyancy that govern the flotation of hot-air balloons, ships, and denizens of the sea. Archimedes had a profound impact on the development of mathematics and science: from square roots to irrigation devices; planetariums to the stability of ships; polyhedra to pulleys; number systems to levers; the value of pi to the size of the universe. Yet this same cerebral man developed machines of war so fearsome, they might have sprung from a devil's darkest imagination - indeed, weapons that held at bay the greatest army of antiquity. Ironically, Archimedes' reputation swelled to mythic proportions in the ancient world for his feats of engineering: the hand-cranked irrigation device, commonly known as "Archimedes' screw," and his ingenuous use of levers, pulleys, and ropes to pull, single-handedly, a fully laden ship! His treatises, rediscovered after a thousand years of collective amnesia in Europe, guided nascent thinkers out of the Dark Ages and into the Renaissance. Indeed, Archimedes' cumulative record of achievement-both in breadth and sophistication-places him among the exalted ranks of Aristotle, Leonardo da Vinci, Isaac Newton, and Albert Einstein. Eureka Man brings to life for general readers the genius of Archimedes, offering succinct and understandable explanations of some of his more important discoveries and innovations.

Archimedes and the Door of Science

Author: Jeanne Bendick

Publisher: Bethlehem Books

ISBN: 1883937124

Category: Juvenile Nonfiction

Page: 135

View: 1625

Jeanne Bendick, through text and pictures, admirably succeeds in bringing to life the ancient Greek mathematician who enriched mathematics and all branches of science. Against the backdrop of Archimedes' life and culture, the author discusses the man's work, his discoveries and the knowledge later based upon it. The simple, often humorous, illustrations and diagrams greatly enhance the text.

Archimedes in the 21st Century

Proceedings of a World Conference at the Courant Institute of Mathematical Sciences

Author: Chris Rorres

Publisher: Birkhäuser

ISBN: 3319580590

Category: Mathematics

Page: 160

View: 3256

​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 Method of Archimedes, Recently Discovered by Heiberg

A Supplement to the Works of Archimedes, 1897 (Classic Reprint)

Author: Archimedes Archimedes

Publisher: Forgotten Books

ISBN: 9781334013874

Category: Mathematics

Page: 58

View: 7689

Excerpt from The Method of Archimedes, Recently Discovered by Heiberg: A Supplement to the Works of Archimedes, 1897 From the point of view of the student of Greek mathematics there has been, in recent years, no event comparable in interest with the discovery by Heiberg in 1906 of a Greek ms. Containing, among other works of Archimedes, substantially the whole of a treatise which was formerly thought to be irretrievably lost. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Aristarchus of Samos, the Ancient Copernicus

A History of Greek Astronomy to Aristarchus, Together with Aristarchus's Treatise on the Sizes and Distances of the Sun and Moon

Author: Thomas Heath

Publisher: Cambridge University Press

ISBN: 1108062334

Category: Mathematics

Page: 440

View: 3723

Prefaced by a history of ancient Greek astronomy, this 1913 edition of Aristarchus' only surviving treatise includes a facing-page translation.


Mathematical Genius of the Ancient World

Author: Mary Gow

Publisher: Enslow Pub Incorporated

ISBN: 9780766025028

Category: Juvenile Nonfiction

Page: 128

View: 1664

This latest title in the GREAT MINDS OF SCIENCE series offers a look at one of the greatest minds of the ancient world. An original and profound thinker, Archimedes was a mathematician, a physicist, a mechanical engineer, and an inventor. He is most famous for proving the law of the lever and inventing the compound pulley.

Archimedes and the Roman Imagination

Author: Mary Jaeger

Publisher: University of Michigan Press

ISBN: 0472025325

Category: Biography & Autobiography

Page: 230

View: 8819

The great mathematician Archimedes, a Sicilian Greek whose machines defended Syracuse against the Romans during the Second Punic War, was killed by a Roman after the city fell, yet it is largely Roman sources, and Greek texts aimed at Roman audiences, that preserve the stories about him. Archimedes' story, Mary Jaeger argues, thus becomes a locus where writers explore the intersection of Greek and Roman culture, and as such it plays an important role in Roman self-definition. Jaeger uses the biography of Archimedes as a hermeneutic tool, providing insight into the construction of the traditional historical narrative about the Roman conquest of the Greek world and the Greek cultural invasion of Rome. By breaking down the narrative of Archimedes' life and examining how the various anecdotes that comprise it are embedded in their contexts, the book offers fresh readings of passages from both well-known and less-studied authors, including Polybius, Cicero, Livy, Vitruvius, Plutarch, Silius Italicus, Valerius Maximus, Johannes Tzetzes, and Petrarch. "Jaeger, in her meticulous and elegant study of different ancient accounts of his life and inventions...reveal more about how the Romans thought about their conquest of the Greek world than about 'science'." ---Helen King, Times Literary Supplement "An absolutely wonderful book on a truly original and important topic. As Jaeger explores neglected texts that together tell an important story about the Romans' views of empire and their relationship to Greek cultural accomplishments, so she has written an important new chapter in the history of science. A genuine pleasure to read, from first page to last." ---Andrew Feldherr, Associate Professor of Classics, Princeton University "This elegantly written and convincingly argued project analyzes Archimedes as a vehicle for reception of the Classics, as a figure for loss and recovery of cultural memory, and as a metaphorical representation of the development of Roman identity. Jaeger's fastening on the still relatively obscure figure of the greatest ancient mathematician as a way of understanding cultural liminality in the ancient world is nothing short of a stroke of genius." ---Christina S. Kraus, Professor and Chair of Classics, Yale University "Archimedes and the Roman Imagination forms a useful addition to our understanding of Roman culture as well as of the reception of science in antiquity. It will make a genuine contribution to the discipline, not only in terms of its original interpretative claims but also as a fascinating example of how we may follow the cultural reception of historical figures." ---Reviel Netz, Professor of Classics, Stanford University Cover art: Benjamin West. Cicero Discovering the Tomb of Archimedes. Yale University Art Gallery. John Hill Morgan, B.A. 1893, LL.B. 1898, M.A. (Hon.) 1929, Fund.