The following selected histories, industry reports, and books provide a broad overview of arithmetic within the context of its practical or business applications. Of note are mercantile training guides from the turn of the 18th century, which demonstrate how arithmetic was vital to specific vocational training prior to its much broader standardization across educational curricula throughout the nineteenth century (see the "Business Arithmetic" section of this guide).
The following titles link to fuller bibliographic information in the Library of Congress Online Catalog. Links to additional online content are included when available.
Practical Mathematics Made Easy by Alonzo Phelps
University Arithmetic by Charles Davies
History of Mathematics (Volumes I & II) by David Eugene Smith
The Casting-Counter and the Counting-Board: A Chapter in the History of Numismatics and Early Arithmetic by Francis Pierrepont Barnard
A Complete System of Theoretical and Mercantile Arithmetic by George Carey
A New System of Mercantile Arithmetic by Michael Walsh
A Study of Mathematical Education Including the Teaching of Arithmetic by Benchara Branford
An Elementary Treatise on Arithmetic by S.F. Lacroix