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Euclid's Phaenomena

Author: J. L. Berggren

Publisher: Routledge

Published: 2019-05-29

Total Pages: 132

ISBN-13: 0429659237

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Originally published in 1996, this book contains a translation and study of Euclid's Phaenomena, a work which once formed part of the mathematical training of astronomers from Central Asia to Western Europe. Included is an introduction that sets Euclid's geometry of the celestial sphere, and its application to the astronomy of his day, into its historical context for readers not already familiar with it. So no knowledge of astronomy or advanced mathematics is necessary for an understanding of the work. The book shows mathematical astronomy shortly before the invention of trigonometry, which allowed the calculation of exact results and the subsequent composition of Ptolemy's Almagest. This work and the (roughly) contemporaneous treatises of Autolycus and Aristarchos form a corpus of the oldest extant works on mathematical astronomy. Together with Euclid's Optics one has the beginnings of the history of science as an application of mathematics.

Book Synopsis Euclid's Phaenomena by : J. L. Berggren

Download or read book Euclid's Phaenomena written by J. L. Berggren and published by Routledge. This book was released on 2019-05-29 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1996, this book contains a translation and study of Euclid's Phaenomena, a work which once formed part of the mathematical training of astronomers from Central Asia to Western Europe. Included is an introduction that sets Euclid's geometry of the celestial sphere, and its application to the astronomy of his day, into its historical context for readers not already familiar with it. So no knowledge of astronomy or advanced mathematics is necessary for an understanding of the work. The book shows mathematical astronomy shortly before the invention of trigonometry, which allowed the calculation of exact results and the subsequent composition of Ptolemy's Almagest. This work and the (roughly) contemporaneous treatises of Autolycus and Aristarchos form a corpus of the oldest extant works on mathematical astronomy. Together with Euclid's Optics one has the beginnings of the history of science as an application of mathematics.

Euclid's Phaenomena

Author: Euclides

Publisher:

Published: 2005

Total Pages: 132

ISBN-13:

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Book Synopsis Euclid's Phaenomena by : Euclides

Download or read book Euclid's Phaenomena written by Euclides and published by . This book was released on 2005 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Euclid's Phaenomena

Author: J. L.. THOMAS BERGGREN (R. S. D.)

Publisher: Routledge

Published: 2019-05-31

Total Pages: 132

ISBN-13: 9780367109790

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Book Synopsis Euclid's Phaenomena by : J. L.. THOMAS BERGGREN (R. S. D.)

Download or read book Euclid's Phaenomena written by J. L.. THOMAS BERGGREN (R. S. D.) and published by Routledge. This book was released on 2019-05-31 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1996, this book contains a translation and study of Euclid's Phaenomena, a work which once formed part of the mathematical training of astronomers from Central Asia to Western Europe. Included is an introduction that sets Euclid's geometry of the celestial sphere, and its application to the astronomy of his day, into its historical context for readers not already familiar with it. So no knowledge of astronomy or advanced mathematics is necessary for an understanding of the work. The book shows mathematical astronomy shortly before the invention of trigonometry, which allowed the calculation of exact results and the subsequent composition of Ptolemy's Almagest. This work and the (roughly) contemporaneous treatises of Autolycus and Aristarchos form a corpus of the oldest extant works on mathematical astronomy. Together with Euclid's Optics one has the beginnings of the history of science as an application of mathematics.

The Mathematics of the Heavens and the Earth

Author: Glen Van Brummelen

Publisher: Princeton University Press

Published: 2021-08-10

Total Pages: 352

ISBN-13: 1400833310

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The Mathematics of the Heavens and the Earth is the first major history in English of the origins and early development of trigonometry. Glen Van Brummelen identifies the earliest known trigonometric precursors in ancient Egypt, Babylon, and Greece, and he examines the revolutionary discoveries of Hipparchus, the Greek astronomer believed to have been the first to make systematic use of trigonometry in the second century BC while studying the motions of the stars. The book traces trigonometry's development into a full-fledged mathematical discipline in India and Islam; explores its applications to such areas as geography and seafaring navigation in the European Middle Ages and Renaissance; and shows how trigonometry retained its ancient roots at the same time that it became an important part of the foundation of modern mathematics. The Mathematics of the Heavens and the Earth looks at the controversies as well, including disputes over whether Hipparchus was indeed the father of trigonometry, whether Indian trigonometry is original or derived from the Greeks, and the extent to which Western science is indebted to Islamic trigonometry and astronomy. The book also features extended excerpts of translations of original texts, and detailed yet accessible explanations of the mathematics in them. No other book on trigonometry offers the historical breadth, analytical depth, and coverage of non-Western mathematics that readers will find in The Mathematics of the Heavens and the Earth.

Book Synopsis The Mathematics of the Heavens and the Earth by : Glen Van Brummelen

Download or read book The Mathematics of the Heavens and the Earth written by Glen Van Brummelen and published by Princeton University Press. This book was released on 2021-08-10 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics of the Heavens and the Earth is the first major history in English of the origins and early development of trigonometry. Glen Van Brummelen identifies the earliest known trigonometric precursors in ancient Egypt, Babylon, and Greece, and he examines the revolutionary discoveries of Hipparchus, the Greek astronomer believed to have been the first to make systematic use of trigonometry in the second century BC while studying the motions of the stars. The book traces trigonometry's development into a full-fledged mathematical discipline in India and Islam; explores its applications to such areas as geography and seafaring navigation in the European Middle Ages and Renaissance; and shows how trigonometry retained its ancient roots at the same time that it became an important part of the foundation of modern mathematics. The Mathematics of the Heavens and the Earth looks at the controversies as well, including disputes over whether Hipparchus was indeed the father of trigonometry, whether Indian trigonometry is original or derived from the Greeks, and the extent to which Western science is indebted to Islamic trigonometry and astronomy. The book also features extended excerpts of translations of original texts, and detailed yet accessible explanations of the mathematics in them. No other book on trigonometry offers the historical breadth, analytical depth, and coverage of non-Western mathematics that readers will find in The Mathematics of the Heavens and the Earth.

Delphi Collected Works of Euclid (Illustrated)

Author: Euclid

Publisher: Delphi Classics

Published: 2017-07-17

Total Pages: 1796

ISBN-13: 1788779460

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The father of geometry, Euclid was a Greek mathematician active in Alexandria during the reign of Ptolemy I (323-283 BC). His treatise on geometry, ‘Elements’, is one of the most influential works in the history of mathematics, serving as the main textbook for teaching mathematics from the time of its first publication until the early twentieth century. In the ‘Elements’, Euclid deduces the theorems of what is now called Euclidean geometry from a small set of axioms. Euclid compiled his treatise from a number of works of earlier mathematicians including Pythagoras, Hippocrates of Chios and Eudoxus of Cnidus, preserving many otherwise lost ideas. One of the very earliest mathematical works to be printed after the invention of the printing press, it has been estimated that ‘Elements’ is second only to the Bible in the number of editions published. Delphi’s Ancient Classics series provides eReaders with the wisdom of the Classical world, with both English translations and the original Greek texts. This comprehensive eBook presents Euclid’s collected (almost complete) works, with illustrations, informative introductions and the usual Delphi bonus material. (Version 1)* Beautifully illustrated with images relating to Euclid's life and works * Features the collected works of Euclid in English translation * Includes the original Greek text of ‘Elements’ * Includes Thomas Heath’s seminal translation of ‘Elements’ for Cambridge University Press * Excellent formatting of the texts * Includes Euclid's rare work ‘Optics’, first time in digital print * Features a bonus biography — discover Euclid's ancient world * Scholarly ordering of texts into chronological order and literary genresPlease visit www.delphiclassics.com to explore our range of Ancient Classics titles or buy the entire series as a Super SetCONTENTS:The Translations Elements (translated by Thomas Heath) Data (translated by Robert Simson) On Divisions of Figures (translated by Raymond Clare Archibald) Optics (translated by Harry Edwin Burton)The Greek Text ElementsThe Biography Euclid by John Sturgeon MackayPlease visit www.delphiclassics.com to browse through our range of exciting titles

Book Synopsis Delphi Collected Works of Euclid (Illustrated) by : Euclid

Download or read book Delphi Collected Works of Euclid (Illustrated) written by Euclid and published by Delphi Classics. This book was released on 2017-07-17 with total page 1796 pages. Available in PDF, EPUB and Kindle. Book excerpt: The father of geometry, Euclid was a Greek mathematician active in Alexandria during the reign of Ptolemy I (323-283 BC). His treatise on geometry, ‘Elements’, is one of the most influential works in the history of mathematics, serving as the main textbook for teaching mathematics from the time of its first publication until the early twentieth century. In the ‘Elements’, Euclid deduces the theorems of what is now called Euclidean geometry from a small set of axioms. Euclid compiled his treatise from a number of works of earlier mathematicians including Pythagoras, Hippocrates of Chios and Eudoxus of Cnidus, preserving many otherwise lost ideas. One of the very earliest mathematical works to be printed after the invention of the printing press, it has been estimated that ‘Elements’ is second only to the Bible in the number of editions published. Delphi’s Ancient Classics series provides eReaders with the wisdom of the Classical world, with both English translations and the original Greek texts. This comprehensive eBook presents Euclid’s collected (almost complete) works, with illustrations, informative introductions and the usual Delphi bonus material. (Version 1)* Beautifully illustrated with images relating to Euclid's life and works * Features the collected works of Euclid in English translation * Includes the original Greek text of ‘Elements’ * Includes Thomas Heath’s seminal translation of ‘Elements’ for Cambridge University Press * Excellent formatting of the texts * Includes Euclid's rare work ‘Optics’, first time in digital print * Features a bonus biography — discover Euclid's ancient world * Scholarly ordering of texts into chronological order and literary genresPlease visit www.delphiclassics.com to explore our range of Ancient Classics titles or buy the entire series as a Super SetCONTENTS:The Translations Elements (translated by Thomas Heath) Data (translated by Robert Simson) On Divisions of Figures (translated by Raymond Clare Archibald) Optics (translated by Harry Edwin Burton)The Greek Text ElementsThe Biography Euclid by John Sturgeon MackayPlease visit www.delphiclassics.com to browse through our range of exciting titles

Proceedings, American Philosophical Society (vol. 135, No. 2, 1991)

Author:

Publisher: American Philosophical Society

Published:

Total Pages: 210

ISBN-13: 9781422370254

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Book Synopsis Proceedings, American Philosophical Society (vol. 135, No. 2, 1991) by :

Download or read book Proceedings, American Philosophical Society (vol. 135, No. 2, 1991) written by and published by American Philosophical Society. This book was released on with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Euclid

Author: Josette Campbell

Publisher: The Rosen Publishing Group, Inc

Published: 2015-07-15

Total Pages: 114

ISBN-13: 1499461283

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Euclid, a Greek mathematician, flourished around 300 BCE. It was he who shaped geometry into what it is today. As a result, he became known as the father of geometry. Euclid founded his own school in Alexandria, Egypt, and gained a reputation as an exceptional geometry teacher. The Elements, his thirteen-volume treatise on mathematics and geometry, was considered to be one of the most influential mathematical works in history. Readers consider some of the definitions and postulates from this great work. They also learn about ancient Greek civilization and the renowned Greek mathematicians and philosophers who influenced Euclid's thinking.

Book Synopsis Euclid by : Josette Campbell

Download or read book Euclid written by Josette Campbell and published by The Rosen Publishing Group, Inc. This book was released on 2015-07-15 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: Euclid, a Greek mathematician, flourished around 300 BCE. It was he who shaped geometry into what it is today. As a result, he became known as the father of geometry. Euclid founded his own school in Alexandria, Egypt, and gained a reputation as an exceptional geometry teacher. The Elements, his thirteen-volume treatise on mathematics and geometry, was considered to be one of the most influential mathematical works in history. Readers consider some of the definitions and postulates from this great work. They also learn about ancient Greek civilization and the renowned Greek mathematicians and philosophers who influenced Euclid's thinking.

Euclid

Author: Chris Hayhurst

Publisher: The Rosen Publishing Group, Inc

Published: 2005-12-15

Total Pages: 118

ISBN-13: 9781404204973

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Biography of Greek mathematician Euclid describing the lasting influence he has had on the field of geometry.

Book Synopsis Euclid by : Chris Hayhurst

Download or read book Euclid written by Chris Hayhurst and published by The Rosen Publishing Group, Inc. This book was released on 2005-12-15 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biography of Greek mathematician Euclid describing the lasting influence he has had on the field of geometry.

From Eudoxus to Einstein

Author: C. M. Linton

Publisher: Cambridge University Press

Published: 2004-08-12

Total Pages: 530

ISBN-13: 1139453793

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Since man first looked towards the heavens, a great deal of effort has been put into trying to predict and explain the motions of the sun, moon and planets. Developments in man's understanding have been closely linked to progress in the mathematical sciences. Whole new areas of mathematics, such as trigonometry, were developed to aid astronomical calculations, and on numerous occasions throughout history, breakthroughs in astronomy have only been possible because of progress in mathematics. This book describes the theories of planetary motion that have been developed through the ages, beginning with the homocentric spheres of Eudoxus and ending with Einstein's general theory of relativity. It emphasizes the interaction between progress in astronomy and in mathematics, showing how the two have been inextricably linked since Babylonian times. This valuable text is accessible to a wide audience, from amateur astronomers to professional historians of astronomy.

Book Synopsis From Eudoxus to Einstein by : C. M. Linton

Download or read book From Eudoxus to Einstein written by C. M. Linton and published by Cambridge University Press. This book was released on 2004-08-12 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since man first looked towards the heavens, a great deal of effort has been put into trying to predict and explain the motions of the sun, moon and planets. Developments in man's understanding have been closely linked to progress in the mathematical sciences. Whole new areas of mathematics, such as trigonometry, were developed to aid astronomical calculations, and on numerous occasions throughout history, breakthroughs in astronomy have only been possible because of progress in mathematics. This book describes the theories of planetary motion that have been developed through the ages, beginning with the homocentric spheres of Eudoxus and ending with Einstein's general theory of relativity. It emphasizes the interaction between progress in astronomy and in mathematics, showing how the two have been inextricably linked since Babylonian times. This valuable text is accessible to a wide audience, from amateur astronomers to professional historians of astronomy.

Encounters with Euclid

Author: Benjamin Wardhaugh

Publisher: Princeton University Press

Published: 2023-11-14

Total Pages: 416

ISBN-13: 0691235767

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A sweeping cultural history of one of the most influential mathematical books ever written Euclid's Elements of Geometry is one of the fountainheads of mathematics—and of culture. Written around 300 BCE, it has traveled widely across the centuries, generating countless new ideas and inspiring such figures as Isaac Newton, Bertrand Russell, Abraham Lincoln, and Albert Einstein. Encounters with Euclid tells the story of this incomparable mathematical masterpiece, taking readers from its origins in the ancient world to its continuing influence today. In this lively and informative book, Benjamin Wardhaugh explains how Euclid’s text journeyed from antiquity to the Renaissance, introducing some of the many readers, copyists, and editors who left their mark on the Elements before handing it on. He shows how some read the book as a work of philosophy, while others viewed it as a practical guide to life. He examines the many different contexts in which Euclid's book and his geometry were put to use, from the Neoplatonic school at Athens and the artisans' studios of medieval Baghdad to the Jesuit mission in China and the workshops of Restoration London. Wardhaugh shows how the Elements inspired ideas in theology, art, and music, and how the book has acquired new relevance to the strange geometries of dark matter and curved space. Encounters with Euclid traces the life and afterlives of one of the most remarkable works of mathematics ever written, revealing its lasting role in the timeless search for order and reason in an unruly world.

Book Synopsis Encounters with Euclid by : Benjamin Wardhaugh

Download or read book Encounters with Euclid written by Benjamin Wardhaugh and published by Princeton University Press. This book was released on 2023-11-14 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: A sweeping cultural history of one of the most influential mathematical books ever written Euclid's Elements of Geometry is one of the fountainheads of mathematics—and of culture. Written around 300 BCE, it has traveled widely across the centuries, generating countless new ideas and inspiring such figures as Isaac Newton, Bertrand Russell, Abraham Lincoln, and Albert Einstein. Encounters with Euclid tells the story of this incomparable mathematical masterpiece, taking readers from its origins in the ancient world to its continuing influence today. In this lively and informative book, Benjamin Wardhaugh explains how Euclid’s text journeyed from antiquity to the Renaissance, introducing some of the many readers, copyists, and editors who left their mark on the Elements before handing it on. He shows how some read the book as a work of philosophy, while others viewed it as a practical guide to life. He examines the many different contexts in which Euclid's book and his geometry were put to use, from the Neoplatonic school at Athens and the artisans' studios of medieval Baghdad to the Jesuit mission in China and the workshops of Restoration London. Wardhaugh shows how the Elements inspired ideas in theology, art, and music, and how the book has acquired new relevance to the strange geometries of dark matter and curved space. Encounters with Euclid traces the life and afterlives of one of the most remarkable works of mathematics ever written, revealing its lasting role in the timeless search for order and reason in an unruly world.