The twentieth century used to be a time of significant upheaval and nice development in arithmetic. with the intention to get the final photo of developments, advancements, and effects, it really is illuminating to ascertain their manifestations in the neighborhood, within the own lives and paintings of mathematicians who have been lively in this time. The college files of Göttingen harbor a wealth of papers, letters, and manuscripts from numerous generations of mathematicians--documents which inform the tale of the old advancements from an area perspective. This e-book bargains a few essays in line with records from Göttingen and elsewhere--essays that have now not but been incorporated within the author's accumulated works. those essays, autonomous from one another, are intended as contributions to the implementing mosaic of the historical past of quantity idea. they're written for mathematicians, yet there are not any targeted historical past requisites. The essays talk about the works of Abraham Adrian Albert, Cahit Arf, Emil Artin, Richard Brauer, Otto Grün, Helmut Hasse, Klaus Hoechsmann, Robert Langlands, Heinrich-Wolfgang Leopoldt, Emmy Noether, Abraham Robinson, Ernst Steinitz, Hermann Weyl, and others. A book of the ecu Mathematical Society (EMS). allotted in the Americas by means of the yank Mathematical Society.