The terms "German-speaking mathematician," "forced," and "voluntary emigration" -- The notion of "mathematician" plus quantitative figures on persecution -- Early emigration -- Pretexts, forms, and the extent of emigration and persecution -- Obstacles to emigration out of Germany after 1933, failed escape, and death -- Alternative (non-American) host countries -- Diminishing ties with Germany and self-image of the refugees -- The American reaction to immigration : help and xenophobia -- Acculturation, political adaptation, and the American entrance into the war -- The impact of immigration on American mathematics -- Epilogue : the postwar relationship of German and American mathematicians