The Works of Archimedes: Volume 1, The Two Books On the Sphere and the Cylinder

The Works of Archimedes: Volume 1, The Two Books On the Sphere and the Cylinder PDF Author: Archimedes
Publisher: Cambridge University Press
ISBN: 0521661609
Category : Mathematics
Languages : en
Pages : 389

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Book Description
Volume 1 of the first authoritative translation of Archimedes' works into English.

The Works of Archimedes: Volume 1, The Two Books On the Sphere and the Cylinder

The Works of Archimedes: Volume 1, The Two Books On the Sphere and the Cylinder PDF Author: Archimedes
Publisher: Cambridge University Press
ISBN: 0521661609
Category : Mathematics
Languages : en
Pages : 389

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Book Description
Volume 1 of the first authoritative translation of Archimedes' works into English.

The Works of Archimedes

The Works of Archimedes PDF Author: Reviel Netz
Publisher:
ISBN:
Category :
Languages : en
Pages : 375

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Book Description
Archimedes was the greatest scientist of antiquity and one of the greatest of all time. This book is Volume I of the first authoritative translation of his works into English. It is also the first publication of a major ancient Greek mathematician to include a critical edition of the diagrams and the first translation into English of Eutocius' ancient commentary on Archimedes. Furthermore, it is the first work to offer recent evidence based on the Archimedes Palimpsest, the major source for Archimedes, lost between 1915 and 1998. A commentary on ...

The Works of Archimedes

The Works of Archimedes PDF Author: Archimedes Archimedes
Publisher: Legare Street Press
ISBN: 9781016718653
Category :
Languages : en
Pages : 0

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Book Description
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

The Works of Archimedes: Volume 2, On Spirals

The Works of Archimedes: Volume 2, On Spirals PDF Author: Archimedes
Publisher: Cambridge University Press
ISBN: 1108186203
Category : Philosophy
Languages : en
Pages : 216

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Book Description
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 and the Door of Science

Archimedes and the Door of Science PDF Author: Jeanne Bendick
Publisher: Ravenio Books
ISBN:
Category : Juvenile Nonfiction
Languages : en
Pages : 143

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Book Description
Many of the things you know about science began with Archimedes. What was so unusual about a man who spent almost his whole life on one small island, more than two thousand years ago? Many things about Archimedes were unusual. His mind was never still, but was always searching for something that could be added to the sum of things that were known in the world. No fact was unimportant; no problem was dull. Archimedes worked not only in his mind, but he also performed scientific experiments to gain knowledge and prove his ideas.

Eureka Man

Eureka Man PDF Author: Alan Hirshfeld
Publisher: Bloomsbury Publishing USA
ISBN: 0802719791
Category : Science
Languages : en
Pages : 252

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Book Description
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.

Archimedis Opera Omnia: Volume 3

Archimedis Opera Omnia: Volume 3 PDF Author: Archimedes
Publisher: Cambridge University Press
ISBN: 1108062571
Category : Mathematics
Languages : en
Pages : 623

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

The Archimedes Palimpsest

The Archimedes Palimpsest PDF Author: Reviel Netz
Publisher: Cambridge University Press
ISBN: 9781107014374
Category : History
Languages : en
Pages : 0

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Book Description
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 Shaping of Deduction in Greek Mathematics

The Shaping of Deduction in Greek Mathematics PDF Author: Reviel Netz
Publisher: Cambridge University Press
ISBN: 9780521541206
Category : History
Languages : en
Pages : 356

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Book Description
The aim of this book is to explain the shape of Greek mathematical thinking. It can be read on three levels: as a description of the practices of Greek mathematics; as a theory of the emergence of the deductive method; and as a case-study for a general view on the history of science. The starting point for the enquiry is geometry and the lettered diagram. Reviel Netz exploits the mathematicians' practices in the construction and lettering of their diagrams, and the continuing interaction between text and diagram in their proofs, to illuminate the underlying cognitive processes. A close examination of the mathematical use of language follows, especially mathematicians' use of repeated formulae. Two crucial chapters set out to show how mathematical proofs are structured and explain why Greek mathematical practice manages to be so satisfactory. A final chapter looks into the broader historical setting of Greek mathematical practice.

Making up Numbers: A History of Invention in Mathematics

Making up Numbers: A History of Invention in Mathematics PDF Author: Ekkehard Kopp
Publisher: Open Book Publishers
ISBN: 1800640978
Category : Mathematics
Languages : en
Pages : 282

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Book Description
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.