New Elements of Geometry
Author : Seba Smith
Publisher :
Page : 214 pages
File Size : 37,61 MB
Release : 1850
Category : Geometry
ISBN :
Author : Seba Smith
Publisher :
Page : 214 pages
File Size : 37,61 MB
Release : 1850
Category : Geometry
ISBN :
Author : Euclid
Publisher :
Page : 544 pages
File Size : 14,74 MB
Release : 2002
Category : Mathematics
ISBN :
"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Author : S. Barnard
Publisher :
Page : 450 pages
File Size : 40,46 MB
Release : 2016-01-01
Category :
ISBN : 9781781830338
Key Features:* Euclid theorem given with substantive proofs.* Parallels and tangents are treated using Euclid methods.* Numerical arranged systematically from simple to more difficult.About the Book:This book contains all elements (including the parallel postulate and theaxioms) and the basic propositions of geometry. Details of Euclid'sdefinitions and its adaptation to explain various geometries have beenattempted thoroughly.
Author : Euclid
Publisher :
Page : 546 pages
File Size : 48,20 MB
Release : 2008
Category :
ISBN :
EUCLID'S ELEMENTS OF GEOMETRY, in Greek and English. The Greek text of J.L. Heiberg (1883-1885), edited, and provided with a modern English translation, by Richard Fitzpatrick.[Description from Wikipedia: ] The Elements (Ancient Greek: Στοιχεῖον Stoikheîon) is a mathematical treatise consisting of 13 books (all included in this volume) attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC. It is a collection of definitions, postulates, propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover plane and solid Euclidean geometry, elementary number theory, and incommensurable lines. Elements is the oldest extant large-scale deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science, and its logical rigor was not surpassed until the 19th century.
Author : Daniel Cresswell
Publisher :
Page : 540 pages
File Size : 46,9 MB
Release : 1819
Category : Geometry
ISBN :
Author : Robin Hartshorne
Publisher : Springer Science & Business Media
Page : 535 pages
File Size : 17,58 MB
Release : 2013-11-11
Category : 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 : Luigi Cremona
Publisher :
Page : 341 pages
File Size : 18,80 MB
Release : 1885
Category : Geometry, Projective
ISBN :
Author : Benjamin Wardhaugh
Publisher : Princeton University Press
Page : 416 pages
File Size : 25,65 MB
Release : 2023-11-14
Category : 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 : Paul Lockhart
Publisher : Harvard University Press
Page : 264 pages
File Size : 41,46 MB
Release : 2012-09-25
Category : 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 : Jose M. Gracia-Bondia
Publisher : Springer Science & Business Media
Page : 692 pages
File Size : 25,8 MB
Release : 2013-11-27
Category : Mathematics
ISBN : 1461200059