Elements of arithmetic

A thorough yet approachable guide to the fundamentals of arithmetic, this nineteenth‑century work blends clear explanations with practical exercises. Drawing on the author’s experience as a Cambridge scholar and professor of mathematics, it begins by grounding counting in everyday observation before moving through addition, subtraction, multiplication, division and the essentials of fractions and decimals. The writing emphasizes reasoning over rote memorisation, urging learners to understand why each rule works rather than merely applying it.

Beyond the core operations, the text expands into topics such as the rule of three, interest calculations, and a suite of eleven detailed appendices that tackle subjects from decimal money to basic bookkeeping. Designed for students eager to build a solid, logical foundation, the book offers step‑by‑step demonstrations that remain useful for anyone looking to refresh their numerical intuition. Its historic perspective also provides a fascinating glimpse into how mathematical education evolved during the Victorian era.