Möbius und sein Band : Der Aufstieg von Mathematik und Astronomie im Deutschland des 19. Jahrhunderts

Most people have heard of the Mobius band. But the work and influence of August Mobius are more far-reaching than a topological toy. For some fifty years of the nineteenth century, August Mobius taught astronomy and researched in mathematics at Leipzig University. During those years, which saw the German nation move towards unification, German mathematics developed into the most powerful and influential in the world and German astronomers became the world leaders. How did this come about? In this fascinating, richly illustrated, and accessible book, leading scholars assess the contribution of Mobius and others of his time to the practice of mathematics and astronomy today. Mobius and his band has been written for all those interested in the historical development of ideas and their legacy, and thus both the general reader and specialists in particular fields will find much of interest. Front Matter....Pages 1-8 Ein sächsischer Mathematiker....Pages 9-30 Die deutsche mathematische Gemeinde....Pages 31-46 Die astronomische Revolution....Pages 47-100 Möbius’ geometrische Mechanik....Pages 101-134 Die Entwicklung der Topologie....Pages 135-152 Möbius’ Vermächtnis....Pages 153-202 Back Matter....Pages 203-223