De Morgan, Augustus 1806-1871 creator text utu 2022 monographic en 1 online resource : multiple file formats "Elements of Arithmetic" by Augustus De Morgan is a mathematical textbook written in the mid-19th century. The work serves as a foundational guide to arithmetic, focusing on principles and reasoning rather than rote calculations, making it suitable for both students and educators. The text aims to establish a solid understanding of arithmetic concepts, laying out the basic operations, such as addition, subtraction, multiplication, and division, while emphasizing the importance of reasoning in mathematics. The opening of the book includes a preface that outlines De Morgan's intent, stating that this edition contains significant appendixes aimed at aiding advanced students. It discusses the importance of teaching arithmetic through reasoning rather than mere routine and highlights the need for a rational approach to mathematics. Following the preface, the first section introduces numeration, illustrating how different counting methods were used throughout history with examples of simple counting techniques and their evolution into more complex systems, ultimately leading into structured numeral systems. This thoughtful approach sets a clear foundation for understanding arithmetic principles. (This is an automatically generated summary.) Release date is 2022-08-01 Richard Tonsing and the Online Distributed Proofreading Team at https://www.pgdp.net (This file was produced from images generously made available by The Internet Archive) Originally published: United Kingdom: Walton and Maberly, 1858 Algebra Arithmetic -- Early works to 1900 QA United Kingdom: Walton and Maberly, 1858 https://archive.org/details/elementsofarithm00demorich https://www.gutenberg.org/ebooks/68662 https://archive.org/details/elementsofarithm00demorich https://www.gutenberg.org/ebooks/68662 UtSlPG 260607 20260610134603.0 68662