*Translation and Commentary*

Author: Archimedes,Reviel Netz

Publisher: Cambridge University Press

ISBN: 9780521661607

Category: Mathematics

Page: 386

View: 8496

Volume I of the first authoritative translation of Archimedes' works into English.

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Volume I of the first authoritative translation of Archimedes' works into English.

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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.

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Introduction: I. Archimedes. II. Manuscripts and principal editions, order of composition, dialect, lost works. III. Relation of Archimedes to his predecessors. IV. Arithmetic in Archimedes. V. On the problems known as [neuseis] VI. Cubic equations. VII. Anticipations by Archimedes of the integral calculus. VIII. The terminology of Archimedes.--Works: On the sphere and cylinder, books I-II. Measurement of a circle. On conoids and spheroids. On spirals. On the equilibrium of planes, books I-II. The sand-reckoner. Quadrature of the parabola. On floating bodies, books I-II. Book of lemmas. The cattle-problem [including the solution of Wurm's problem by Amthor in Zeitschrift für math. u. phys. [Hist. litt. abth.] v. 25, 1880] List of the principal works consulted: p. [xi]-xii

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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. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

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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 method of archimedes recently discovered by heiberg a supplement to the works of archimedes 1897

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Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.

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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.

DOWNLOAD NOW »

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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. 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. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. 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.

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Die neuen Entwicklungen in der Wissenschaftsgeschichte der letzten 20 Jahre sind inzwischen auch fuer die Untersuchung der antiken Wissenschaften fruchtbar gemacht worden. Der Sammelband stellt dies anhand der Physik dar, die als moderne Wissenschaft zwei zentrale Wissensgebiete der antiken Philosophie sowie der angewandten mathematischen Wissenschaften vereint, die antike Naturwissenschaft und die Fachdisziplin der Mechanik. Die Autoren und Autorinnen zeigen in ihren Beitr�gen, da� gerade das Verh�ltnis von eher theoretischer Wissenschaft und angewandter Praxis ein besonders spannendes ist. Als "Brueckenkopf" zwischen beiden Bereichen wird hier die antike Umweltforschung pr�sentiert. Die Texte wenden sich neben dem Fachpublikum besonders an interessierte, aufgeschlossene LeserInnen anderer Interessensgebiete, die sich einen Eindruck der neuesten Forschungen verschaffen m�chten, und sind daher allgemein verst�ndlich und nachvollziehbar geschrieben. Mit Beitr�gen von: Astrid Schuermann, Gottfried Heinemann, Ren� Kayser, Helen S. Lang, Christian Pietsch, Holger Sonnabend, Burkhard Mei�ner, Hermann J. Kienast:, Dennis L. Simms, Philippe Fleury, Karin Tybjerg.

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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).

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Published in 1860, this is a one-volume collection of Cambridge polymath Isaac Barrow's Latin writings on mathematics, optics and geometry.

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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.

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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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. 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.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. 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.

DOWNLOAD NOW »

The complete history of Greek mathematics, from the origins of arithmetic to the key works of Pythagorus, Euclid, and Archimedes.

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*Translation and Commentary*

Author: Archimedes,Reviel Netz

Publisher: Cambridge University Press

ISBN: 9780521661607

Category: Mathematics

Page: 386

View: 8496

Volume I of the first authoritative translation of Archimedes' works into English.

Author: Archimedes

Publisher: Courier Corporation

ISBN: 0486154394

Category: Mathematics

Page: 576

View: 7141

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.

Author: Archimedes

Publisher: Aubrey Durkin

ISBN: N.A

Category: Mathematics

Page: N.A

View: 2246

Introduction: I. Archimedes. II. Manuscripts and principal editions, order of composition, dialect, lost works. III. Relation of Archimedes to his predecessors. IV. Arithmetic in Archimedes. V. On the problems known as [neuseis] VI. Cubic equations. VII. Anticipations by Archimedes of the integral calculus. VIII. The terminology of Archimedes.--Works: On the sphere and cylinder, books I-II. Measurement of a circle. On conoids and spheroids. On spirals. On the equilibrium of planes, books I-II. The sand-reckoner. Quadrature of the parabola. On floating bodies, books I-II. Book of lemmas. The cattle-problem [including the solution of Wurm's problem by Amthor in Zeitschrift für math. u. phys. [Hist. litt. abth.] v. 25, 1880] List of the principal works consulted: p. [xi]-xii

Author: N.A

Publisher: CUP Archive

ISBN: N.A

Category:

Page: 326

View: 6456

Author: T L Heath

Publisher: Franklin Classics

ISBN: 9780342221431

Category:

Page: 516

View: 1322

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. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

*Translation and Commentary*

Author: Archimedes

Publisher: Cambridge University Press

ISBN: 1108186203

Category: Philosophy

Page: N.A

View: 1460

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.

Author: N.A

Publisher: CUP Archive

ISBN: N.A

Category:

Page: N.A

View: 1862

Author: T. L. Heath

Publisher: Littlefield Press

ISBN: 1446008207

Category:

Page: 514

View: 6422

Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.

*A Supplement to the Works of Archimedes*

Author: Sir Thomas Heath

Publisher: Cosimo, Inc.

ISBN: 1602063915

Category: Geometry

Page: 108

View: 2196

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

Author: Chris Rorres

Publisher: Birkhäuser

ISBN: 3319580590

Category: Mathematics

Page: 160

View: 2946

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.

Author: Johan Ludvig Heiberg,Johan Ludvig Archimedes,Johan Ludvig Eutocius

Publisher: Wentworth Press

ISBN: 9780274845569

Category:

Page: 518

View: 8086

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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. 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. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. 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.

Author: Astrid Schürmann,Georg Wöhrle

Publisher: Franz Steiner Verlag

ISBN: 9783515087421

Category: History

Page: 236

View: 8698

Die neuen Entwicklungen in der Wissenschaftsgeschichte der letzten 20 Jahre sind inzwischen auch fuer die Untersuchung der antiken Wissenschaften fruchtbar gemacht worden. Der Sammelband stellt dies anhand der Physik dar, die als moderne Wissenschaft zwei zentrale Wissensgebiete der antiken Philosophie sowie der angewandten mathematischen Wissenschaften vereint, die antike Naturwissenschaft und die Fachdisziplin der Mechanik. Die Autoren und Autorinnen zeigen in ihren Beitr�gen, da� gerade das Verh�ltnis von eher theoretischer Wissenschaft und angewandter Praxis ein besonders spannendes ist. Als "Brueckenkopf" zwischen beiden Bereichen wird hier die antike Umweltforschung pr�sentiert. Die Texte wenden sich neben dem Fachpublikum besonders an interessierte, aufgeschlossene LeserInnen anderer Interessensgebiete, die sich einen Eindruck der neuesten Forschungen verschaffen m�chten, und sind daher allgemein verst�ndlich und nachvollziehbar geschrieben. Mit Beitr�gen von: Astrid Schuermann, Gottfried Heinemann, Ren� Kayser, Helen S. Lang, Christian Pietsch, Holger Sonnabend, Burkhard Mei�ner, Hermann J. Kienast:, Dennis L. Simms, Philippe Fleury, Karin Tybjerg.

*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: 9582

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).

*Edited for Trinity College*

Author: Isaac Barrow,William Whewell

Publisher: Cambridge University Press

ISBN: 1108059333

Category: Education

Page: 788

View: 6022

Published in 1860, this is a one-volume collection of Cambridge polymath Isaac Barrow's Latin writings on mathematics, optics and geometry.

Author: Eduard Jan Dijksterhuis

Publisher: Princeton University Press

ISBN: 1400858615

Category: Mathematics

Page: 460

View: 6995

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.

Author: Thomas Little Heath,Archimedes Archimedes,J. L. 1854-1928 Heiberg

Publisher: N.A

ISBN: 9781297000003

Category:

Page: 58

View: 7127

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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. 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.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. 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.

Author: James Gow

Publisher: Cambridge University Press

ISBN: 1108009034

Category: Mathematics

Page: 380

View: 8914

The complete history of Greek mathematics, from the origins of arithmetic to the key works of Pythagorus, Euclid, and Archimedes.