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The name of Bernard Riemann is well known to mathematicians and physicists around the world. His name is indelibly stamped on the literature of mathematics and physics. This remarkable work, rich in insight and scholarship, is addressed to mathematicians, physicists, and philosophers interested in mathematics. It seeks to draw those readers closer to the underlying ideas of Riemann’s work and to the development of them in their historical context. This illuminating English-language version of the original German edition will be an important contribution to the literature of the history of mathematics.
The work of German cultural theorist and art historian Aby Warburg (1866–1929) has had a lasting effect on how we think about images. This book is the first in English to focus on his last project, the encyclopedic Atlas of Images: Mnemosyne. Begun in earnest in 1927, and left unfinished at the time of Warburg’s death in 1929, the Atlas consisted of sixty-three large wooden panels covered with black cloth. On these panels Warburg carefully, intuitively arranged some thousand black-and-white photographs of classical and Renaissance art objects, as well as of astrological and astronomical images ranging from ancient Babylon to Weimar Germany. Here and there, he also included maps, manuscript pages, and contemporary images taken from newspapers. Trying through these constellations of images to make visible the many polarities that fueled antiquity’s afterlife, Warburg envisioned the Atlas as a vital form of metaphoric thought. While the nondiscursive, frequently digressive character of the Atlas complicates any linear narrative of its themes and contents, Christopher D. Johnson traces several thematic sequences in the panels. By drawing on Warburg’s published and unpublished writings and by attending to Warburg’s cardinal idea that "pathos formulas" structure the West’s cultural memory, Johnson maps numerous tensions between word and image in the Atlas. In addition to examining the work itself, he considers the literary, philosophical, and intellectual-historical implications of the Atlas. As Johnson demonstrates, the Atlas is not simply the culmination of Warburg’s lifelong study of Renaissance culture but the ultimate expression of his now literal, now metaphoric search for syncretic solutions to the urgent problems posed by the history of art and culture.
The international conference on "Pedestrian and Evacuation Dynamics", held on February 27-29, 2008 at Wuppertal University in Germany, was the fourth in this series after successful meetings in Duisburg (2001), Greenwich (2003) and Vienna (2005). The conference was aimed at improving the scientific exchange between scientists, experts and practitioners of various fields of pedestrian and evacuation dynamics and featured: the analysis of evacuation processes and pedestrian motion, modeling of pedestrian dynamics in various situations, experiments on pedestrian dynamics, human behavior research, regulatory action. All these topics are included in this book to give a broad and state-of-the-art overview of pedestrian and evacuation dynamics.
This volume consists of the English translations of the letters exchanged between Emil Artin to Helmut Hasse written from 1921 until 1958. The letters are accompanied by extensive comments explaining the mathematical background and giving the information needed for understanding these letters. Most letters deal with class field theory and shed a light on the birth of one of its most profound results: Artin's reciprocity law.