Bøger af Sophus Lie

""Archiv Fur Mathematik Og Naturvidenskab V15 (1892)"" er en bok skrevet av den norske matematikeren Sophus Lie. Boken ble utgitt i 1892 og er en samling av forskningsartikler innen matematikk og naturvitenskap. Lie var en ledende matematiker p������ slutten av 1800-tallet, og hans arbeid p������ omr������der som gruppeteori og differensialgeometri var banebrytende for sin tid. Boken inneholder bidrag fra flere andre anerkjente matematikere og forskere fra den tiden, og gir et innblikk i den vitenskapelige tenkningen og utviklingen p������ den tiden. Boken er en verdifull ressurs for forskere og studenter innen matematikk og naturvitenskap som ������nsker ������ l�����re mer om historien og utviklingen av disse fagomr������dene.This Book Is In Norwegian.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

""Classification der Fl�����chen: Nach der Transformationsgruppe ihrer geod�����tischen Kurven"" ist ein Buch des d�����nischen Mathematikers Sophus Lie, das im Jahr 1879 ver������ffentlicht wurde. Das Buch behandelt die Klassifizierung von Fl�����chen anhand ihrer Transformationsgruppen, die durch geod�����tische Kurven definiert werden. Lie stellt eine Methode vor, um Fl�����chen in verschiedene Klassen zu unterteilen, basierend auf der Anzahl der Freiheitsgrade, die ihre Transformationsgruppen aufweisen. Das Buch ist ein wichtiger Beitrag zur Geometrie und hat Einfluss auf die moderne Differentialgeometrie und die Theorie der Lie-Gruppen. Es ist ein Standardwerk in der Mathematik und wird oft als Referenzwerk verwendet.This Book Is In German.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

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.

This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.

""Archiv Fur Mathematik Og Naturvidenskab V15"" er en bok skrevet av den anerkjente norske matematikeren Sophus Lie. Boken ble utgitt i 1892 og inneholder en samling av Lie's matematiske og naturvitenskapelige artikler. Lie var en pioner innenfor gruppeteori og differensialgeometri, og hans arbeid har hatt stor innvirkning p������ moderne matematikk. Boken inneholder ogs������ en omfattende introduksjon til Lie's arbeid og hans bidrag til matematikkens utvikling. ""Archiv Fur Mathematik Og Naturvidenskab V15"" er en viktig ressurs for studenter og forskere innenfor matematikk og naturvitenskap, og er et verdifullt bidrag til den norske matematikkhistorien.This Book Is In Norwegian.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

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.

This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.

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.

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: ++++ Theorie Der Transformationsgruppen ...; Volume 3 Of Theorie Der Transformationsgruppen; Sophus Lie Sophus Lie, Friedrich Engel s.n., 1893 Contact transformations; Continuous groups; Transformation groups

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.

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.

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.

Theory of Transformation Groups I

In diesem Monat feiern wir den 150. Geburtstag von SOPHUS LIE, einem der größten Mathematiker des vorigen Jahrhunderts. Es ist daher sehr zu begrüßen, daß der Teubner­ Verlag, einer langen Traditionslinie bei der Veröffentlichung von LIES Werken folgend, in seine Reihe "TEUBNER-ARCHIV zur Mathematik" Arbeiten von SOPHUS LIE und seinen Zeitgenossen EDuARD STUDY und FRIEDRICH ENGEL aufgenommen hat. Ausgewählt wurden Beiträge zur Theorie der Differentialinvarianten. Zum einen ist dies ein Gebiet, auf dem alle drei tätig gewesen sind und das als Ausgangspunkt großer Liescher Ideen zur Anwendung gruppentheoretischer Methoden in der Analysis betrachtet werden kann, obwohl es nur einen Ausschnitt aus LIES Schaffen darstellt. Zum anderen vermitteln die hier vorgestellten Arbeiten durch ihren kritischen Stil und durch den Streit um unterschied­ liche mathematische Auffassungen interessante Einblicke in das mathematische Geschehen jener Zeit. Neben der Würdigung dieser drei namhaften Mathematiker stellt der vorliegende Band den Ursprung der Lieschen Theorie, ihre weitere Entwicklung und spätere Ausprägung dar. Wir danken dem Teubner-Verlag und insbesondere Herrn J. WEISS für das freundliche Entgegenkommen und die gute Zusammenarbeit. Greifswald und Leipzig, Dezember 1992 GÜNTER CZICHOWSKI BERND FRITZSCHE SOPHUS LIE Ölgemälde von ERIK THEODOR WERENSKIOLD aus dem Jahre 1902; im Besitz der Universität Oslo (Katalognummer 818) Inhalt S. Lie: Über Gruppen von Transformationen, 1874. (Gesammelte Abhandlungen, Bd. 5 (1924),1-8) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 S. Lie: Über Differentialinvarianten, 1884. (Gesammelte Abhandlungen, Bd. 6 (1927), 95-l38) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 . . . . . . . S.Lie: Über die Gruppe der Bewegungen und ihre Differentialinvarianten, 1893. (Gesammelte Abhandlungen, Bd. 6 (1927), 376-383) . . . . . . . . . . . . . . .