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Like no other personality of the 18th and 19th century, Napoleon Bonaparte (1769-1821) and his incessant imperialist wars left lasting marks on the political and cultural profile of Central Europe. After the total defeat of Prussia against Napoleon's Grande Armée in 1806, fundamental reforms of the entire state system were carried out in Prussia, which were soon (partially) adopted by other German states. This also affected the educational system, and led to fundamental reforms for freedom of teaching and research in German universities. As a result, abstract mathematics and astronomy reached a "golden age" in German academic research, of which Carl Friedrich Gauss at Göttingen was an epochal example. August Ferdinand Möbius (1790-1868) was his doctoral student, whose life and work on mathematics and astronomy were profoundly influenced by him. This book reports on August Ferdinand Möbius in the mirror of his time, with its political and social peculiarities. As a matter of fact, Möbius' legacy reaches into today's sciences, arts, and architecture-and is rediscovered again and again-leading to new heights of scientific knowledge and cultural aesthetics. The famous one-sided Möbius strip is a paradigmatic example of the fascination and significance of mathematical topology for understanding unexpected consequences of complex object (de)formation. This is the first book to present numerous case studies on Möbius topology in mathematics, astronomy, chemistry, physics and nanomaterials, literature, arts, and architecture, covering the 18th-19th century up to the present years. It is written for experts and laymen alike, who are interested in the historical development of ideas in science and culture.

Conformal geometry. --- Topology. --- Möbius transformations. --- Géométrie conforme. --- Topologie. --- Möbius, Transformations de. --- Möbius, August Ferdinand,