Euclid's Elements
Author | : Euclid |
Publisher | : |
Total Pages | : 544 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : |
"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
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Author | : Euclid |
Publisher | : |
Total Pages | : 544 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : |
"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Author | : Benjamin Wardhaugh |
Publisher | : Princeton University Press |
Total Pages | : 416 |
Release | : 2023-11-14 |
Genre | : Mathematics |
ISBN | : 0691235767 |
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.
Author | : Benno Artmann |
Publisher | : Springer Science & Business Media |
Total Pages | : 352 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461214122 |
Euclid presents the essential of mathematics in a manner which has set a high standard for more than 2000 years. This book, an explanation of the nature of mathematics from its most important early source, is for all lovers of mathematics with a solid background in high school geometry, whether they be students or university professors.
Author | : Paul Lockhart |
Publisher | : Harvard University Press |
Total Pages | : 264 |
Release | : 2012-09-25 |
Genre | : Mathematics |
ISBN | : 0674071174 |
For seven years, Paul Lockhart’s A Mathematician’s Lament enjoyed a samizdat-style popularity in the mathematics underground, before demand prompted its 2009 publication to even wider applause and debate. An impassioned critique of K–12 mathematics education, it outlined how we shortchange students by introducing them to math the wrong way. Here Lockhart offers the positive side of the math education story by showing us how math should be done. Measurement offers a permanent solution to math phobia by introducing us to mathematics as an artful way of thinking and living. In conversational prose that conveys his passion for the subject, Lockhart makes mathematics accessible without oversimplifying. He makes no more attempt to hide the challenge of mathematics than he does to shield us from its beautiful intensity. Favoring plain English and pictures over jargon and formulas, he succeeds in making complex ideas about the mathematics of shape and motion intuitive and graspable. His elegant discussion of mathematical reasoning and themes in classical geometry offers proof of his conviction that mathematics illuminates art as much as science. Lockhart leads us into a universe where beautiful designs and patterns float through our minds and do surprising, miraculous things. As we turn our thoughts to symmetry, circles, cylinders, and cones, we begin to see that almost anyone can “do the math” in a way that brings emotional and aesthetic rewards. Measurement is an invitation to summon curiosity, courage, and creativity in order to experience firsthand the playful excitement of mathematical work.
Author | : Josette Campbell |
Publisher | : The Rosen Publishing Group, Inc |
Total Pages | : 114 |
Release | : 2015-07-15 |
Genre | : Juvenile Nonfiction |
ISBN | : 1499461283 |
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.
Author | : Richard Fitzpatrick |
Publisher | : Lulu.com |
Total Pages | : 411 |
Release | : 2006-03-01 |
Genre | : Mathematics |
ISBN | : 1411680871 |
Euclid's Elements is the most famous mathematical work of classical antiquity, and has had a profound influence on the development of modern Mathematics and Physics. This volume contains the definitive Ancient Greek text of J.L. Heiberg (1883), together with an English translation. For ease of use, the Greek text and the corresponding English text are on facing pages. Moreover, the figures are drawn with both Greek and English symbols. Finally, a helpful Greek/English lexicon explaining Ancient Greek mathematical jargon is appended. Volume II contains Books 5-9, and covers the fundamentals of proportion, similar figures, and number theory.
Author | : Robin Hartshorne |
Publisher | : Springer Science & Business Media |
Total Pages | : 535 |
Release | : 2013-11-11 |
Genre | : Mathematics |
ISBN | : 0387226761 |
This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.
Author | : Ian Mueller |
Publisher | : Courier Dover Publications |
Total Pages | : 404 |
Release | : 2006 |
Genre | : Mathematics |
ISBN | : |
A survey of Euclid's Elements, this text provides an understanding of the classical Greek conception of mathematics and its similarities to modern views as well as its differences. It focuses on philosophical, foundational, and logical questions -- rather than focusing strictly on historical and mathematical issues -- and features several helpful appendixes.