Excerpt from Practical Arithmetic: Embracing the Science and Applications of Numbers
Great pains have been taken to make the work practical In its general character, by explaining and illustrating the various applications of Arithmetic in the transactions of business, and by connecting, as closely as possible, every principle or rule, with all the applications which belong to it.
I have great pleasure in acknowledging my obligations to many teachers who have favored me with valuable suggestions in regard to definitions, rules, and methods of illustration. Their generous appreciation of my labors has been both an encourage ment and a reward.
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It is the foundation of the exact and mixed sciences, and the first subject, in a well-arranged course of instruction, to which the reasoning powers of the mind are directed. Because of its great uses and applications, it has become the guide and daily companion of the mechanic and man of business. In the present work, a few general principles are laid down, to which all the operations in numbers may be referred :1st. The unit 1is regarded as the base of every number, and the consideration of it is the first step in the analysis of every question relating to numbers. 2d. Every number is treated as a collection of units, or as made up of sets of such collections; each collection having its own base, which is either 1, or some number derived from 1. 3d. The number expressing the relation between two different units of a number, is called the SCALE ;and the employment of this term enables us to generalize the laws which regulate the formation of numbers. 4th. By employing the term fractional unit the same principles are made applicable to fractional numbers; for all fractions are but collections of fractional units, these units having a known relation to 1. 5th. The presentation of the fractional units to the minds of young pupils, by means of a diagram, as exhibited in the Primary and Intellectual A rithmetics, has greatly simplified the operations in fractions; and they may now be placed before Denominate Numbers, where, in a purely scientific arrangement, they properly belong.
(Typographical errors above are due to OCR software and don't occur in the book.)
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Vendeur : Forgotten Books, London, Royaume-Uni
Paperback. Etat : New. Print on Demand. This book presents a comprehensive and foundational exploration of arithmetic, delving into the science of numbers and their practical applications. As a cornerstone of mathematics and various scientific disciplines, arithmetic serves as an essential tool for mechanics, business professionals, and individuals seeking to develop their reasoning abilities. The author meticulously guides readers through fundamental principles, establishing the unit "1" as the basis of all numbers. By conceptualizing numbers as collections of units and introducing the term "scale" to express relationships between different units, the book effectively generalizes the laws governing number formation. Through clear explanations and practical examples, readers are equipped with the knowledge to perform essential arithmetic operations, including addition, subtraction, multiplication, and division. The book delves into the properties of numbers, exploring concepts such as divisors, prime numbers, and common multiples. Building upon this foundation, the author introduces common and decimal fractions, elucidating their properties and operations. Applications of arithmetic in various contexts, such as United States currency, denominate numbers, and mensuration, are thoroughly explored, providing readers with practical skills for everyday life. Concluding with sections on ratio and proportion, involution and evolution, and progressions, this book offers valuable insights into the intricate world of numbers, empowering readers with a deeper understanding of their significance and applications. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N° de réf. du vendeur 9781333514112_0
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Vendeur : PBShop.store US, Wood Dale, IL, Etats-Unis
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781333514112
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Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781333514112
Quantité disponible : 15 disponible(s)