Download or read book Euclid and His Twentieth Century Rivals written by Nathaniel Miller and published by Center for the Study of Language and Information Publica Tion. This book was released on 2007 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Euclid and His Modern Rivals written by Lewis Carroll and published by . This book was released on 1879 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Euclid and His Modern Rivals written by Charles Lutwidge Dodgson and published by DigiCat. This book was released on 2022-05-29 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Euclid and His Modern Rivals written by Charles L. Dodgson and published by Cambridge University Press. This book was released on 2009-07-20 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: Euclid and His Modern Rivals, while humorously executed, is deeply serious in its convictions surrounding Euclid's teachings of elementary geometry.
Download or read book Diagrammatic Representation and Inference written by Dave Barker-Plummer and published by Springer Science & Business Media. This book was released on 2006-06-22 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Supplement to Euclid and His Modern Rivals written by Charles Lutwidge Dodgson and published by . This book was released on 1885 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Euclid s Elements written by Euclid and published by . This book was released on 2002 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Download or read book Euclid and His Rivals written by Charles Lutwidge Dodgson and published by . This book was released on 1885 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Euclid and His Modern Rivals Primary Source Edition written by Lewis Carroll and published by Nabu Press. This book was released on 2013-12 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Euclid and His Modern Rivals written by Carroll Lewis 1832-1898 and published by Franklin Classics. This book was released on 2018-10-14 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Download or read book Euclid and His Modern Rivals Classic Reprint written by Charles L. Dodgson and published by Forgotten Books. This book was released on 2017-09-16 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Euclid and His Modern Rivals In one respect this book is an experiment, and may chance to prove a failure 3 I mean that I have not thought it necessary to maintain throughout the gravity of style which scientific writers usually affect, and which has some how come to be regarded as an 'inseparable accident' of scientific teaching. I never could quite see the reason ableness of this immemorial law: subjects there are, no doubt, which are in their essence too serious to admit of any lightness of treatment - but I cannot recognise Geo metry as one of them. Nevertheless it will, I trust, be found that I have permitted myself a glimpse of the comic side of things only at fitting seasons, when the tired reader might well crave a moment's breathing-space, and not on any occasion where it could endanger the continuity of a line of argument. Pitying friends have warned me of the fate upon which I am rushing: they have predicted that, in thus abandon ing the dignity of a scientific writer, I shall alienate the sympathies of all true scientific readers, who will regard the book as a mere jozo d'esprit, and will not trouble them selves to look for any serious argument in it. But it must be borne in mind that, if there is a Scylla before me, there is also a Charybdis - and that, in my fear of being read as a jest, I may incur the darker destiny of not being read at all. In furtherance of the great cause which I have at heart -the vindication of Euclid' s masterpiece - I am content to run some risk; thinking it far better that the purchaser of this little book should read it, though it be with a smile. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Download or read book Euclid and His Modern Rivals written by Lewis Carroll and published by . This book was released on 1973 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Diagrammatic Representation and Inference written by Gem Stapleton and published by Springer Science & Business Media. This book was released on 2008-09-10 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diagrams is an international and interdisciplinary conference series, covering all aspects of research on the theory and application of diagrams. Recent technological advances have enabled the large-scale adoption of d- grams in a diverse range of areas. Increasingly sophisticated visual represen- tions are emerging and, to enable e?ective communication, insight is required into how diagrams are used and when they are appropriate for use. The per- sive, everyday use of diagrams for communicating information and ideas serves to illustrate the importance of providing a sound understanding of the role that diagrams can, and do, play. Research in the ?eld of diagrams aims to improve our understanding of the role of diagrams, sketches and other visualizations in communication, computation, cognition, creative thought, and problem solving. These concerns have triggered a surge of interest in the study of diagrams. The study of diagrammatic communication as a whole must be pursued as an interdisciplinary endeavour.Diagrams 2008 was the ?fth event in this conf- ence series, which was launched in Edinburghduring September 2000.Diagrams attracts a large number of researchers from virtually all related ?elds, placing the conference as a major international event in the area. Diagrams is the only conference that provides a united forum for all areas that are concerned with the study of diagrams: for example, architecture, - ti?cial intelligence, cartography, cognitive science, computer science, education, graphicdesign,historyofscience,human-computerinteraction,linguistics,logic, mathematics,philosophy,psychology,andsoftwaremodelling.Weseeissuesfrom all of these ?elds discussed in the papers collected in the present volume.
Download or read book Diagrammatic Representation and Inference written by Philip T. Cox and published by Springer. This book was released on 2012-06-19 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Conference on Theory and Application of Diagrams, Diagrams 2012, held in Canaterbury, UK, in July 2012. The 16 long papers, 6 short papers and 21 poster abstracts presented were carefully reviewed and selected from 83 submissions. The papers are organized in keynotes, tutorial, workshops, graduate student symposium and topical sections on psychological and cognitive issues, diagram layout, diagrams and data analysis, Venn and Euler diagrams, reasoning with diagrams, investigating aesthetics, applications of diagrams.
Download or read book Euclid and His Modern Rivals written by Charles L. Dodgson and published by Cambridge University Press. This book was released on 2009-07-20 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Euclid and His Modern Rivals is a deeply convincing testament to the Greek mathematician's teachings of elementary geometry. Published in 1879, it is humorously constructed and written by Charles Dodgson (better known outside the mathematical world as Lewis Carroll, the author of Alice in Wonderland) in the form of an intentionally unscientific dramatic comedy. Dodgson, mathematical lecturer at Christ Church, Oxford, sets out to provide evidentiary support for the claim that The Manual of Euclid is essentially the defining and exclusive textbook to be used for teaching elementary geometry. Euclid's sequence and numbering of propositions and his treatment of parallels, states Dodgson, make convincing arguments that the Greek scholar's text stands alone in the field of mathematics. The author pointedly recognises the abundance of significant work in the field, but maintains that none of the subsequent manuals can effectively serve as substitutes to Euclid's early teachings of elementary geometry.
Download or read book The King of Infinite Space written by David Berlinski and published by Basic Books. This book was released on 2014-04-08 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry defines the world around us, helping us make sense of everything from architecture to military science to fashion. And for over two thousand years, geometry has been equated with Euclid's Elements, arguably the most influential book in the history of mathematics In The King of Infinite Space, renowned mathematics writer David Berlinski provides a concise homage to this elusive mathematician and his staggering achievements. Berlinski shows that, for centuries, scientists and thinkers from Copernicus to Newton to Einstein have relied on Euclid's axiomatic system, a method of proof still taught in classrooms around the world. Euclid's use of elemental logic -- and the mathematical statements he and others built from it -- have dramatically expanded the frontiers of human knowledge. The King of Infinite Space presents a rich, accessible treatment of Euclid and his beautifully simple geometric system, which continues to shape the way we see the world.
Download or read book Euclid His Life and System written by Thomas Smith (D.D.) and published by . This book was released on 1902 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:
