Möbius and his band : mathematics and astronomy in nineteenth- century Germany

August Mobius was one of the 19th century's most influential mathematicians and astronomers. Written by six distinguished contributors, this book explores the work of Mobius and his brilliant German contemporaries. The work emphasizes those achievements which in many ways can be seen to reflect the exciting advances taking place at the time throughout the entire scientific world. The background to Mobius's life and labors is provided by John Fauvel. Gert Schubring examines the mathematical community in 19th-century Germany, while Allan Chapman describes the revolution in astronomy that took place during the period. Jeremy Gray analyzes Mobius's contribution to geometrical mechanics and Norman Biggs traces his role in the development of topological ideas. Finally, Ian Stewart explores the legacy Mobius left to mathematics in our own century. This stimulating volume will appeal to all scientists in the fields that Mobius helped advance-physics, mathematics, and astronomy-as well as general readers interested in the history of science. 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. I got to know many things about Mobius and his works from this book. For example, what cause him to think about the famous Mobius function and Mobius inversion formula. Also, there are facts that support J.B. Listing(1808-1882) as the first inventor of the Mobius Band. In the first half of 19-th century, many leading mathematicians made a living as astronomers, because mathematics at that time had not been accepted as an independent scientific field! August Moebius was one of the nineteenth century's most influential mathematicians and astronomers. Written by six distinguished contributors, this book explores the work of Moebius and his fellow-German scholars, in particular the achievements which act as a mirror for the work being undertaken by his contemporaries around the world.