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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

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.

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

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.

The Works of Archimedes

The Works of Archimedes PDF Author: Archimedes
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 524

Book Description


The Works of Archimedes

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

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 ...

Archimedes

Archimedes PDF Author: Eduard Jan Dijksterhuis
Publisher: Princeton University Press
ISBN: 1400858615
Category : Mathematics
Languages : en
Pages : 460

Book Description
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.

A Book of Curves

A Book of Curves PDF Author: Edward Harrington Lockwood
Publisher: Cambridge University Press
ISBN: 9781001224114
Category : Curves
Languages : en
Pages : 290

Book Description
Describes the drawing of plane curves, cycloidal curves, spirals, glissettes and others.

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

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.

The Archimedes Palimpsest

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

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.

Professor Stewart's Cabinet of Mathematical Curiosities

Professor Stewart's Cabinet of Mathematical Curiosities PDF Author: Ian Stewart
Publisher: Profile Books
ISBN: 1847651283
Category : Mathematics
Languages : en
Pages : 320

Book Description
School maths is not the interesting part. The real fun is elsewhere. Like a magpie, Ian Stewart has collected the most enlightening, entertaining and vexing 'curiosities' of maths over the years... Now, the private collection is displayed in his cabinet. There are some hidden gems of logic, geometry and probability -- like how to extract a cherry from a cocktail glass (harder than you think), a pop up dodecahedron, the real reason why you can't divide anything by zero and some tips for making money by proving the obvious. Scattered among these are keys to unlocking the mysteries of Fermat's last theorem, the Poincaré Conjecture, chaos theory, and the P/NP problem for which a million dollar prize is on offer. There are beguiling secrets about familiar names like Pythagoras or prime numbers, as well as anecdotes about great mathematicians. Pull out the drawers of the Professor's cabinet and who knows what could happen...

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

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

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

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