Euclid and His Twentieth Century Rivals PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Euclid and His Twentieth Century Rivals PDF full book. Access full book title Euclid and His Twentieth Century Rivals by Nathaniel Miller. Download full books in PDF and EPUB format.
Author: Nathaniel Miller
Publisher: Center for the Study of Language and Information Publica Tion
ISBN:
Category : Mathematics
Languages : en
Pages : 136
Get Book Here
Book Description
Twentieth-century developments in logic and mathematics have led many people to view Euclid's proofs as inherently informal, especially due to the use of diagrams in proofs. In Euclid and His Twentieth-Century Rivals, Nathaniel Miller discusses the history of diagrams in Euclidean Geometry, develops a formal system for working with them, and concludes that they can indeed be used rigorously. Miller also introduces a diagrammatic computer proof system, based on this formal system. This volume will be of interest to mathematicians, computer scientists, and anyone interested in the use of diagrams in geometry.
Author: Nathaniel Miller
Publisher: Center for the Study of Language and Information Publica Tion
ISBN:
Category : Mathematics
Languages : en
Pages : 136
Get Book Here
Book Description
Twentieth-century developments in logic and mathematics have led many people to view Euclid's proofs as inherently informal, especially due to the use of diagrams in proofs. In Euclid and His Twentieth-Century Rivals, Nathaniel Miller discusses the history of diagrams in Euclidean Geometry, develops a formal system for working with them, and concludes that they can indeed be used rigorously. Miller also introduces a diagrammatic computer proof system, based on this formal system. This volume will be of interest to mathematicians, computer scientists, and anyone interested in the use of diagrams in geometry.
Author: Lewis Carroll
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 380
Get Book Here
Book Description
Author: Charles Lutwidge Dodgson
Publisher: DigiCat
ISBN:
Category : Art
Languages : en
Pages : 168
Get Book Here
Book Description
Euclid and His Modern Rivals is a mathematical book by the British mathematician Charles Lutwidge Dodgson, known under his literary pseudonym "Lewis Carroll." The book evaluates the educational merits of thirteen contemporary geometry textbooks compared to Euclid's Elements. Caroll demonstrates that every of the presented geometry books of his time was inferior to or functionally identical to Wuclid's oeuvre.
Author: Charles L. Dodgson
Publisher: Cambridge University Press
ISBN: 1108001009
Category : Biography & Autobiography
Languages : en
Pages : 339
Get Book Here
Book Description
Euclid and His Modern Rivals, while humorously executed, is deeply serious in its convictions surrounding Euclid's teachings of elementary geometry.
Author: Dave Barker-Plummer
Publisher: Springer Science & Business Media
ISBN: 3540356231
Category : Computers
Languages : en
Pages : 313
Get Book Here
Book Description
Proceedings of the 4th International Conference on Theory and Application of Diagrams, Stanford, CA, USA in June 2006. 13 revised full papers, 9 revised short papers, and 12 extended abstracts are presented together with 2 keynote papers and 2 tutorial papers. The papers are organized in topical sections on diagram comprehension by humans and machines, notations: history, design and formalization, diagrams and education, reasoning with diagrams by humans and machines, and psychological issues in comprehension, production and communication.
Author: Euclid
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 544
Get Book Here
Book Description
"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Author: Charles Lutwidge Dodgson
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 64
Get Book Here
Book Description
Author: Charles Lutwidge Dodgson
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 275
Get Book Here
Book Description
Author: Benjamin Wardhaugh
Publisher: Princeton University Press
ISBN: 0691235767
Category : Mathematics
Languages : en
Pages : 416
Get Book Here
Book Description
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: Lewis Carroll
Publisher: Nabu Press
ISBN: 9781293378137
Category :
Languages : en
Pages : 342
Get Book Here
Book Description
This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ++++ The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to ensure edition identification: ++++ Euclid And His Modern Rivals Lewis Carroll Macmillan and co., 1879 Geometry; Geometry, Non-Euclidean
