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This is a collection of the complete works of August Ferdinand Möbius, published in 1885 and edited by R. Baltzer. A significant figure in 19th-century mathematics, Möbius made notable contributions to geometry, topology, and number theory. This volume offers a comprehensive look at his research and thinking, providing valuable insights into the development of mathematical concepts and their historical context. Gesammelte Werke is an essential resource for historians of mathematics, researchers, and anyone interested in the evolution of mathematical thought. The collection showcases Möbius’s groundbreaking work and its lasting impact on the field. The book, written in German, preserves the original texts as they were presented in the late 19th century.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.