The Sand-Reckoner
The Sand-Reckoner

Author: Gillian Bradshaw

Publisher: Forge Books

Published: 2010-04-01

Total Pages: 455

ISBN-13: 1429971169

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The Sand-Reckoner from author Gillian Bradshaw is a historical account that reimagines the life of one of ancient Greek's greatest minds. The young scholar Archimedes has just had the best three years of his life at Ptolemy's Museum at Alexandria. To be able to talk and think all day, every day, sharing ideas and information with the world's greatest minds, is heaven to Archimedes. But heaven must be forsaken when he learns that his father is ailing, and his home city of Syracuse is at war with the Romans. Reluctant but resigned, Archimedes takes himself home to find a job building catapults as a royal engineer. Though Syracuse is no Alexandria, Archimedes also finds that life at home isn't as boring or confining as he originally thought. He finds fame and loss, love and war, wealth and betrayal-none of which affects him nearly as much as the divine beauty of mathematics. At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.

Making up Numbers: A History of Invention in Mathematics
Making up Numbers: A History of Invention in Mathematics

Author: Ekkehard Kopp

Publisher: Open Book Publishers

Published: 2020-10-23

Total Pages: 282

ISBN-13: 1800640978

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Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.

Eureka Man
Eureka Man

Author: Alan Hirshfeld

Publisher: Bloomsbury Publishing USA

Published: 2009-09-08

Total Pages: 252

ISBN-13: 0802719791

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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
Archimedes

Author: Eduard Jan Dijksterhuis

Publisher: Princeton University Press

Published: 2014-07-14

Total Pages: 460

ISBN-13: 1400858615

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This classic study by the eminent Dutch historian of science E. J. Dijksterhuis (1892-1965) presents the work of the Greek mathematician and mechanical engineer to the modern reader. With meticulous scholarship, Dijksterhuis surveys the whole range of evidence on Archimedes' life and the 2000-year history of the manuscripts and editions of the text, and then undertakes a comprehensive examination of all the extant writings. Originally published in 1987. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

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:

Published: 2008

Total Pages: 187

ISBN-13: 9780973291162

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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.

Art That Changed the World
Art That Changed the World

Author: DK

Publisher: Penguin

Published: 2013-10-01

Total Pages: 402

ISBN-13: 1465421203

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Experience the uplifting power of art on this breathtaking visual tour of 2,500 paintings and sculptures created by more than 700 artists from Michelangelo to Damien Hirst. This beautiful book brings you the very best of world art from cave paintings to Neoexpressionism. Enjoy iconic must-see works, such as Leonardo da Vinci's Last Supper and Monet's Waterlilies and discover less familiar artists and genres from all parts of the globe. Art That Changed the World covers the full sweep of world art, including the Ming era in China, and Japanese, Hindu, and Indigenous Australian art. It analyses recurring themes such as love and religion, explaining key genres from Romanesque to Conceptual art. Art That Changed the World explores each artist's key works and vision, showing details of their technique, such as Leonardo's use of light and shade. It tells the story of avant-garde works like Manet's Le Dejeuner sur l'herbe (Lunch on the Grass), which scandalized society, and traces how one genre informed another - showing how the Impressionists were inspired by Gustave Courbet, for example, and how Van Gogh was influenced by Japanese prints. Lavishly illustrated throughout, look no further for your essential guide to the pantheon of world art.

Archimedis Opera Omnia: Volume 3
Archimedis Opera Omnia: Volume 3

Author: Archimedes

Publisher: Cambridge University Press

Published: 2013-04-18

Total Pages: 623

ISBN-13: 1108062571

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Published 1880-1, this three-volume edition of Archimedes' extant works in Greek includes commentaries and parallel Latin translation.

Cleomedes' Lectures on Astronomy
Cleomedes' Lectures on Astronomy

Author: Cleomedes

Publisher: Univ of California Press

Published: 2004-01-19

Total Pages: 258

ISBN-13: 0520928512

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At some time around 200 A.D., the Stoic philosopher and teacher Cleomedes delivered a set of lectures on elementary astronomy as part of a complete introduction to Stoicism for his students. The result was The Heavens (Caelestia), the only work by a professional Stoic teacher to survive intact from the first two centuries A.D., and a rare example of the interaction between science and philosophy in late antiquity. This volume contains a clear and idiomatic English translation—the first ever—of The Heavens, along with an informative introduction, detailed notes, and technical diagrams. This important work will now be accessible to specialists in both ancient philosophy and science and to readers interested in the history of astronomy and cosmology but with no knowledge of ancient Greek.