Encounters with Euclid

How an Ancient Greek Geometry Text Shaped the World

Benjamin Wardhaugh

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English

Princeton University Press
14 November 2023

Philosophy of mathematics; Euclidean geometry; History of mathematics

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.

By: Benjamin Wardhaugh
Imprint: Princeton University Press
Country of Publication: United States
Dimensions: Height: 235mm, Width: 156mm,
ISBN: 9780691235769
ISBN 10: 0691235767
Pages: 416
Publication Date: 14 November 2023
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Paperback
Publisher's Status: Active

Benjamin Wardhaugh is a historian of mathematics. He is the author of Gunpowder and Geometry: The Life of Charles Hutton, Pit Boy, Mathematician, and Scientific Rebel and How to Read Historical Mathematics (Princeton) and the editor of A Wealth of Numbers: An Anthology of 500 Years of Popular Mathematics Writing (Princeton).

Reviews for Encounters with Euclid: How an Ancient Greek Geometry Text Shaped the World

Praise for the UK edition An astonishingly readable and informative history of the greatest mathematical bestseller of all time, from ancient Greece to dark energy. The writing is vivid and the stories are gripping. Highly recommended!--Ian Stewart Benjamin Wardhaugh is an excellent storyteller and his collected short story approach to the history of The Elements works splendidly. . . . Simultaneously educational, entertaining and illuminating. . . . A highly desirable read for all those, both professional and amateur, who interest themselves in the histories of mathematics, science and knowledge.--Thony Christie, Renaissance Mathematicus This is a wonderful book that illustrates the tremendous influence Euclid's Elements has had all over the world and in virtually every century since its composition. A very enjoyable read.--Victor J. Katz, coauthor of Taming the Unknown: A History of Algebra from Antiquity to the Early Twentieth Century Wardhaugh's beautifully written and wide-ranging book is full of charm and learning.--Reviel Netz, author of Ludic Proof: Greek Mathematics and the Alexandrian Aesthetic