Encounters With Euclid

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Encounters With Euclid

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Author : Benjamin Wardhaugh
language : en
Publisher: Princeton University Press
Release Date : 2021-07-06

Encounters With Euclid written by Benjamin Wardhaugh and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-06 with Mathematics categories.

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

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Author : Benjamin Wardhaugh
language : en
Publisher: Princeton University Press
Release Date : 2023-11-14

Encounters With Euclid written by Benjamin Wardhaugh and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-14 with Mathematics categories.

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.

The Book Of Wonders

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Author : Benjamin Wardhaugh
language : en
Publisher: William Collins
Release Date : 2020-08-20

The Book Of Wonders written by Benjamin Wardhaugh and has been published by William Collins this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-20 with categories.

Euclid's Elements of Geometry was a book that changed the world. In a sweeping history, Benjamin Wardhaugh traces how an ancient Greek text on mathematics - often hailed as the world's first textbook - shaped two thousand years of art, philosophy and literature, as well as science and maths. Thirteen volumes of mathematical definitions, propositions and proofs. Writing in 300 BC, Euclid could not have known his logic would go unsurpassed until the nineteenth century, or that his writings were laying down the very foundations of human knowledge. Wardhaugh blasts the dust from Euclid's legacy to offer not only a vibrant history of mathematics, told through people and invention, but also a broader story of culture. Telling stories from every continent, ranging between Ptolemy and Isaac Newton, Hobbes and Lewis Carrol, this is a history that dives from Ancient Greece to medieval Byzantium, early modern China, Renaissance Italy, the age of European empires, and our world today. How has geometry sat at the beating heart of sculpture, literature, music and thought? How can one unknowable figure of antiquity live through two millennia?

The Spatial Reformation

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Author : Michael J. Sauter
language : en
Publisher: University of Pennsylvania Press
Release Date : 2019-01-11

The Spatial Reformation written by Michael J. Sauter and has been published by University of Pennsylvania Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-11 with Science categories.

In The Spatial Reformation, Michael J. Sauter offers a sweeping history of the way Europeans conceived of three-dimensional space, including the relationship between Earth and the heavens, between 1350 and 1850. He argues that this "spatial reformation" provoked a reorganization of knowledge in the West that was arguably as important as the religious Reformation. Notably, it had its own sacred text, which proved as central and was as ubiquitously embraced: Euclid's Elements. Aside from the Bible, no other work was so frequently reproduced in the early modern era. According to Sauter, its penetration and suffusion throughout European thought and experience call for a deliberate reconsideration not only of what constitutes the intellectual foundation of the early modern era but also of its temporal range. The Spatial Reformation contends that space is a human construct: that is, it is a concept that arises from the human imagination and gets expressed physically in texts and material objects. Sauter begins his examination by demonstrating how Euclidean geometry, when it was applied fully to the cosmos, estranged God from man, enabling the breakthrough to heliocentrism and, by extension, the discovery of the New World. Subsequent chapters provide detailed analyses of the construction of celestial and terrestrial globes, Albrecht Dürer's engraving Melencolia, the secularization of the natural history of the earth and man, and Hobbes's rejection of Euclid's sense of space and its effect on his political theory. Sauter's exploration culminates in the formation of a new anthropology in the eighteenth century that situated humanity in reference to spaces and places that human eyes had not actually seen. The Spatial Reformation illustrates how these disparate advancements can be viewed as resulting expressly from early modernity's embrace of Euclidean geometry.

Joyce Chaos And Complexity

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Author : Thomas Jackson Rice
language : en
Publisher: University of Illinois Press
Release Date : 1997

Joyce Chaos And Complexity written by Thomas Jackson Rice and has been published by University of Illinois Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Literary Criticism categories.

Thomas Rice compellingly argues that James Joyce's work resists postmodernist approaches of ambiguity: Joyce never abandoned his conviction that reality exists, regardless of the human ability to represent it. Placing Joyce in his cultural context, Rice first traces the influence of Euclidean and non-Euclidean geometries on Dubliners and A Portrait of the Artist as a Young Man. He then demonstrates that, when later innovations in science transformed entire worldviews, Joyce recognized conventional literary modes of representation as offering only arbitrary constructions of this reality. Joyce responded in Ulysses by experimenting with perspective, embedding design, and affirming the existence of reality. Rice contends that Ulysses presages the multiple tensions of chaos theory; likewise, chaos theory can serve as a model for understanding Ulysses. In Finnegans Wake Joyce consummates his vision and anticipates the theories of complexity science through a dynamic approximation of reality.

Plato And The Older Academy Translated From The German Of Section 2 Part 2 Vol Ii Of Philosophie Der Griechen By S F Alleyne And A Goodwin

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Author : Eduard ZELLER
language : en
Publisher:
Release Date : 1876

Plato And The Older Academy Translated From The German Of Section 2 Part 2 Vol Ii Of Philosophie Der Griechen By S F Alleyne And A Goodwin written by Eduard ZELLER and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1876 with categories.

5000 Years Of Geometry

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Author : Christoph J. Scriba
language : en
Publisher: Birkhäuser
Release Date : 2015-04-22

5000 Years Of Geometry written by Christoph J. Scriba and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-22 with Mathematics categories.

The present volume provides a fascinating overview of geometrical ideas and perceptions from the earliest cultures to the mathematical and artistic concepts of the 20th century. It is the English translation of the 3rd edition of the well-received German book “5000 Jahre Geometrie,” in which geometry is presented as a chain of developments in cultural history and their interaction with architecture, the visual arts, philosophy, science and engineering. Geometry originated in the ancient cultures along the Indus and Nile Rivers and in Mesopotamia, experiencing its first “Golden Age” in Ancient Greece. Inspired by the Greek mathematics, a new germ of geometry blossomed in the Islamic civilizations. Through the Oriental influence on Spain, this knowledge later spread to Western Europe. Here, as part of the medieval Quadrivium, the understanding of geometry was deepened, leading to a revival during the Renaissance. Together with parallel achievements in India, China, Japan and the ancient American cultures, the European approaches formed the ideas and branches of geometry we know in the modern age: coordinate methods, analytical geometry, descriptive and projective geometry in the 17th an 18th centuries, axiom systems, geometry as a theory with multiple structures and geometry in computer sciences in the 19th and 20th centuries. Each chapter of the book starts with a table of key historical and cultural dates and ends with a summary of essential contents of geometr y in the respective era. Compelling examples invite the reader to further explore the problems of geometry in ancient and modern times. The book will appeal to mathematicians interested in Geometry and to all readers with an interest in cultural history. From letters to the authors for the German language edition I hope it gets a translation, as there is no comparable work. Prof. J. Grattan-Guinness (Middlesex University London) "Five Thousand Years of Geometry" - I think it is the most handsome book I have ever seen from Springer and the inclusion of so many color plates really improves its appearance dramatically! Prof. J.W. Dauben (City University of New York) An excellent book in every respect. The authors have successfully combined the history of geometry with the general development of culture and history. ... The graphic design is also excellent. Prof. Z. Nádenik (Czech Technical University in Prague)

Plato And The Older Academy

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Author : Eduard Zeller
language : en
Publisher:
Release Date : 1888

Plato And The Older Academy written by Eduard Zeller and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1888 with Art categories.

An Introduction To Euclid Including Euclid I 1 26 With Explanations And Exercises By H Deighton And O Emtage

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Author : Horace Deighton
language : en
Publisher:
Release Date : 1897

An Introduction To Euclid Including Euclid I 1 26 With Explanations And Exercises By H Deighton And O Emtage written by Horace Deighton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1897 with categories.

Work In Progress

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Author : Sean Alexander Gurd
language : en
Publisher: OUP USA
Release Date : 2012-01-05

Work In Progress written by Sean Alexander Gurd and has been published by OUP USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-05 with History categories.

Work in Progress offers the first in-depth study of the cultural and social importance of literary revision among ancient Greek and Roman authors.