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Encounters With Euclid: How an Ancient Greek Geometry Text Shaped the World

  • Formaat: 403 pages, kõrgus x laius x paksus: 2375x1625x1.25 mm, kaal: 1600 g
  • Ilmumisaeg: 06-Jul-2021
  • Kirjastus: Princeton Univ Pr
  • ISBN-10: 0691211698
  • ISBN-13: 9780691211695
Teised raamatud teemal:
  • Formaat: 403 pages, kõrgus x laius x paksus: 2375x1625x1.25 mm, kaal: 1600 g
  • Ilmumisaeg: 06-Jul-2021
  • Kirjastus: Princeton Univ Pr
  • ISBN-10: 0691211698
  • ISBN-13: 9780691211695
Teised raamatud teemal:

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.

Prologue 1(6)
I Author
Alexandria: The geometer and the king
7(11)
Elephantine: Pot shards
18(8)
Hypsicles: The fourteenth book
26(5)
Theon of Alexandria: Editing the Elements
31(8)
Stephanos the scribe: Euclid in Byzantium
39(9)
Al-Hajjaj: Euclid in Baghdad
48(8)
Adelard: The Latin Euclid
56(9)
Erhard Ratdolt: Printing the Elements
65(10)
Marget Seymer her hand: Owning the Elements
75(6)
Edward Bernard: Minerva in Oxford
81(10)
Interlude
91(4)
II Sage
Plato: The philosopher and the slave
95(7)
Proclus Diadochus: Minerva in Athens
102(5)
Hroswitha of Gandersheim: Wisdom and her daughters
107(7)
Rabbi Levi ben Gershom: Euclid in Hebrew
114(9)
Christoph Clavius: The Jesuit Elements
123(10)
Xu Guangqi: Euclid in China
133(12)
Blame not our author: Geometry on stage
145(6)
Baruch Spinoza: The geometrical manner
151(10)
Anne Lister: Improving the mind
161(8)
Interlude
169(4)
III Hero
Petechonsis: Taxing and overtaxing
173(6)
Dividing the monochord
179(7)
Hyginus: Surveying the land
186(7)
Muhammad Abu al-Wafa al-Buzjani: Dividing the square
193(9)
Lady Geometria: Depicting the liberal arts
202(10)
Piero della Francesca: Seeing in perspective
212(13)
Euclid Speidell: Teaching and learning
225(5)
Isaac Newton: Mathematical principles
230(7)
Interlude
237(4)
IV Shadow And Mask
Mary Fairfax: Euclid and the straitjacket
241(8)
Francois Peyrard: Manuscript 190
249(11)
Nicolai Ivanovich Lobachevskii: Parallels
260(9)
Maggie and Tom: The torture of the mind
269(9)
Simson in Urdu: The Euclidean empire
278(7)
His modern rivals
285(6)
Thomas Little Heath: The true con amore spirit
291(9)
Max Ernst: Euclid's mask
300(6)
Euclidean designs
306(10)
Lambda: Curved space, dark energy
316(6)
Epilogue 322(3)
Acknowledgements 325(2)
Image Credits 327(4)
Notes on Sources 331(24)
Select Bibliography 355(34)
Index 389