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Author : Richard Neil Hansen
Publisher :
ISBN 13 :
Total Pages : 190 pages
Book Rating : 4.:/5 (34 download)
Download or read book The Historical Reluctance to Accept Non-Euclidean Geometry written by Richard Neil Hansen and published by . This book was released on 1998 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Boris A. Rosenfeld
Publisher : Springer Science & Business Media
ISBN 13 : 1441986804
Total Pages : 481 pages
Book Rating : 4.4/5 (419 download)
Download or read book A History of Non-Euclidean Geometry written by Boris A. Rosenfeld and published by Springer Science & Business Media. This book was released on 2012-09-08 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Russian edition of this book appeared in 1976 on the hundred-and-fiftieth anniversary of the historic day of February 23, 1826, when LobaeevskiI delivered his famous lecture on his discovery of non-Euclidean geometry. The importance of the discovery of non-Euclidean geometry goes far beyond the limits of geometry itself. It is safe to say that it was a turning point in the history of all mathematics. The scientific revolution of the seventeenth century marked the transition from "mathematics of constant magnitudes" to "mathematics of variable magnitudes. " During the seventies of the last century there occurred another scientific revolution. By that time mathematicians had become familiar with the ideas of non-Euclidean geometry and the algebraic ideas of group and field (all of which appeared at about the same time), and the (later) ideas of set theory. This gave rise to many geometries in addition to the Euclidean geometry previously regarded as the only conceivable possibility, to the arithmetics and algebras of many groups and fields in addition to the arith metic and algebra of real and complex numbers, and, finally, to new mathe matical systems, i. e. , sets furnished with various structures having no classical analogues. Thus in the 1870's there began a new mathematical era usually called, until the middle of the twentieth century, the era of modern mathe matics.
Author : Roberto Bonola
Publisher :
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.:/5 (89 download)
Download or read book Non-Euclidean Geometry written by Roberto Bonola and published by . This book was released on 1912 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines various attempts to prove Euclid's parallel postulate -- by the Greeks, Arabs and Renaissance mathematicians. Ranging through the 17th, 18th, and 19th centuries, it considers forerunners and founders such as Saccheri, Lambert, Legendre, W. Bolyai, Gauss, Schweikart, Taurinus, J. Bolyai and Lobachewsky.
Author : Boris A. Rosenfeld
Publisher : Springer
ISBN 13 : 9780387964584
Total Pages : 471 pages
Book Rating : 4.9/5 (645 download)
Download or read book A History of Non-Euclidean Geometry written by Boris A. Rosenfeld and published by Springer. This book was released on 1988-09-07 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Russian edition of this book appeared in 1976 on the hundred-and-fiftieth anniversary of the historic day of February 23, 1826, when LobaeevskiI delivered his famous lecture on his discovery of non-Euclidean geometry. The importance of the discovery of non-Euclidean geometry goes far beyond the limits of geometry itself. It is safe to say that it was a turning point in the history of all mathematics. The scientific revolution of the seventeenth century marked the transition from "mathematics of constant magnitudes" to "mathematics of variable magnitudes. " During the seventies of the last century there occurred another scientific revolution. By that time mathematicians had become familiar with the ideas of non-Euclidean geometry and the algebraic ideas of group and field (all of which appeared at about the same time), and the (later) ideas of set theory. This gave rise to many geometries in addition to the Euclidean geometry previously regarded as the only conceivable possibility, to the arithmetics and algebras of many groups and fields in addition to the arith metic and algebra of real and complex numbers, and, finally, to new mathe matical systems, i. e. , sets furnished with various structures having no classical analogues. Thus in the 1870's there began a new mathematical era usually called, until the middle of the twentieth century, the era of modern mathe matics.
Author : ROBERTO. BONOLA
Publisher :
ISBN 13 : 9781033294505
Total Pages : 0 pages
Book Rating : 4.2/5 (945 download)
Download or read book NON-EUCLIDEAN GEOMETRY written by ROBERTO. BONOLA and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harold E. Wolfe
Publisher : Courier Corporation
ISBN 13 : 0486498506
Total Pages : 274 pages
Book Rating : 4.4/5 (864 download)
Download or read book Introduction to Non-Euclidean Geometry written by Harold E. Wolfe and published by Courier Corporation. This book was released on 2012-01-01 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the first college-level texts for elementary courses in non-Euclidean geometry, this volumeis geared toward students familiar with calculus. Topics include the fifth postulate, hyperbolicplane geometry and trigonometry, and elliptic plane geometry and trigonometry. Extensiveappendixes offer background information on Euclidean geometry, and numerous exercisesappear throughout the text.Reprint of the Holt, Rinehart & Winston, Inc., New York, 1945 edition
Author : Henry Parker Manning
Publisher :
ISBN 13 :
Total Pages : 116 pages
Book Rating : 4.:/5 (2 download)
Download or read book Non-Euclidean Geometry written by Henry Parker Manning and published by . This book was released on 1901 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard J. Trudeau
Publisher : Springer Science & Business Media
ISBN 13 : 081764783X
Total Pages : 282 pages
Book Rating : 4.8/5 (176 download)
Download or read book The Non-Euclidean Revolution written by Richard J. Trudeau and published by Springer Science & Business Media. This book was released on 2009-06-08 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Richard Trudeau confronts the fundamental question of truth and its representation through mathematical models in The Non-Euclidean Revolution. First, the author analyzes geometry in its historical and philosophical setting; second, he examines a revolution every bit as significant as the Copernican revolution in astronomy and the Darwinian revolution in biology; third, on the most speculative level, he questions the possibility of absolute knowledge of the world. A portion of the book won the Pólya Prize, a distinguished award from the Mathematical Association of America.
Author : Roberto Bonola
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (113 download)
Download or read book Non-euclidean Geometry written by Roberto Bonola and published by . This book was released on 1958 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Voldemar Smilga
Publisher : World Scientific
ISBN 13 : 9813274379
Total Pages : 248 pages
Book Rating : 4.8/5 (132 download)
Download or read book In The Search For Beauty: Unravelling Non-euclidean Geometry written by Voldemar Smilga and published by World Scientific. This book was released on 2018-11-22 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a popular book that chronicles the historical attempts to prove the fifth postulate of Euclid on parallel lines that led eventually to the creation of non-Euclidean geometry. To absorb the mathematical content of the book, the reader should be familiar with the foundations of Euclidean geometry at the high school level. But besides the mathematics, the book is also devoted to stories about the people, brilliant mathematicians starting from Pythagoras and Euclid and terminating with Gauss, Lobachevsky and Klein. For two thousand years, mathematicians tried to prove the fifth postulate (whose formulation seemed to them too complicated to be a real postulate and not a theorem, hence the title In the Search for Beauty). But in the 19th century, they realized that such proof was impossible, and this led to a revolution in mathematics and then in physics. The two final chapters are devoted to Einstein and his general relativity which revealed to us that the geometry of the world we live in is not Euclidean.Also included is an historical essay on Omar Khayyam, who was not only a poet, but also a brilliant astronomer and mathematician.
Author : Richard J. Trudeau
Publisher : Springer Science & Business Media
ISBN 13 : 1461221021
Total Pages : 279 pages
Book Rating : 4.4/5 (612 download)
Download or read book The Non-Euclidean Revolution written by Richard J. Trudeau and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: Richard Trudeau confronts the fundamental question of truth and its representation through mathematical models in The Non-Euclidean Revolution. First, the author analyzes geometry in its historical and philosophical setting; second, he examines a revolution every bit as significant as the Copernican revolution in astronomy and the Darwinian revolution in biology; third, on the most speculative level, he questions the possibility of absolute knowledge of the world. Trudeau writes in a lively, entertaining, and highly accessible style. His book provides one of the most stimulating and personal presentations of a struggle with the nature of truth in mathematics and the physical world.
Author : Roberto Bonola
Publisher : Palala Press
ISBN 13 : 9781343136816
Total Pages : 294 pages
Book Rating : 4.1/5 (368 download)
Download or read book Non-Euclidean Geometry written by Roberto Bonola and published by Palala Press. This book was released on 2015-09-19 with total page 294 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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.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.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Roberto Bonola
Publisher : Legare Street Press
ISBN 13 : 9781017733938
Total Pages : 0 pages
Book Rating : 4.7/5 (339 download)
Download or read book Non-Euclidean Geometry; a Critical and Historical Study of Its Development written by Roberto Bonola and published by Legare Street Press. This book was released on 2022-10-27 with total page 0 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. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Roberto Bonola
Publisher : Gannon Distributing Company
ISBN 13 : 9780883070284
Total Pages : 268 pages
Book Rating : 4.0/5 (72 download)
Download or read book Geometria Non Euclidea written by Roberto Bonola and published by Gannon Distributing Company. This book was released on 1955 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Roberto Bonola
Publisher : Forgotten Books
ISBN 13 : 9780428918637
Total Pages : 282 pages
Book Rating : 4.9/5 (186 download)
Download or read book Non-Euclidean Geometry written by Roberto Bonola and published by Forgotten Books. This book was released on 2018-01-12 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Non-Euclidean Geometry: A Critical and Historical Study of Its Development The admirable simplicity of the author's treatment, the elementary character of the constructions he employs, the sense of harmony which dominates every part of this little work, are in accordance, not only with the artistic temperament and broad education of the author, but also with the lasting devotion which he bestowed on the Theory of non-euclidean Geometry from the very beginning of his scientific career. May his devotion stimulate others to pursue with ideals equally lofty the path of historical and philosophical criticism of the principles of science! Such efforts may be regarded as the most fitting introduction to the study of the high problems of philosophy in general, and subsequently of the theory of the understanding, in the most genuine and profound signification of the term, following the great tradition which was interrupted by the romantic movement of the nineteenth century. 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.
Author : Roberto 1874-1911 Bonola
Publisher : Wentworth Press
ISBN 13 : 9781372433672
Total Pages : 294 pages
Book Rating : 4.4/5 (336 download)
Download or read book NON-EUCLIDEAN GEOMETRY A CRITI written by Roberto 1874-1911 Bonola and published by Wentworth Press. This book was released on 2016-08-28 with total page 294 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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. 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. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Roberto Bonola
Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.:/5 (499 download)
Download or read book Non-Euclidean Geometry written by Roberto Bonola and published by . This book was released on 1938 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
