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The letters and manuscripts of Keyser, including the notes and manuscripts for his lectures, essays, and books, as well as his correspondence with colleagues and mathematicians throughout the world. There are letters from Benjamin N. Cardozo, Alfred Korzybski, Anna Hempstead Branch, James Truslow Adams, and Clarence Day, Jr.

Correspondence, manuscripts, and documents of mathematicians and other scientists, often dealing with politics and fields other than mathematics. Many of these concern the French Revolution.

Professional and personal papers of Smith, including correspondence and manuscripts from his students, family, contemporary mathematicians and teaching colleagues about the history and teaching of mathematics, his many committees, administrative matters at Teachers College, and his travels and collecting. Also, the manuscripts of his writings and his notes.

This collection includes letters from members of the academic community at Columbia and elsewhere, former students, Columbia College alumni, members of the Van Amringe family, and friends. These letters deal with the official, alumni, and personal matters. There are two letter books for 1894 when he was Dean of Columbia's School of Arts (later known as Columbia College, the undergraduate school). The manuscripts include holograph and typescript copies of speeches made by Van Amringe at various Columbia functions, at alumni affairs, and at meetings of civic, charitable, and academic organizations; course notebooks while he attended Columbia College; diaries of daily appointments, 1909-1914; intimate prose and poetry written by Van Amringe and members of his family; a pencil sketchbook and notebook containing three plays by his daughter Emily Bulow Van Amringe. The collection includes numerous clippings, brochures, invitations, and other Columbia and personal memorabilia.