THE OBJECT of this Treatise is-(1) To point out to the student of Mathematics, who has not the advantage of a tutor, the course of study which it is most advisable that he should follow, the extent to which he should pursue one part of the science before he commences another, and to direct him as to the sort of applications which he should make. (2) To treat fully of the various points which involve difficulties and which are apt to be misunderstood by beginners, and to describe at length the nature without going into the routine of the operations.No person commences the study of mathematics without soon discovering that it is of a very different nature from those to which he has been accustomed. The pursuits to which the mind is usually directed before entering on the sciences of algebra and geometry, are such as languages and history, etc. Of these, neither appears to have any affinity with mathemat-Table of Contents Editor's Note iii; Author's Preface v; I Introductory Remarks on the Nature and Objects of; Mathematics i; II On Arithmetical Notation n; III Elementary Rules of Arithmetic 20; IV Arithmetical Fractions 30; V Decimal Fractions 42; VI Algebraical Notation and Principles 55; VII Elementary Rules of Algebra 67; VIII Equations of the First Degree 90; IX On the Negative Sign, etc 103; X Equations of the Second Degree 129; XI On Roots in General, and Logarithms 158; XII On the Study of Algebra 175; XIII On the Definitions of Geometry rgi; XIV On Geometrical Reasoning 203; XV On Axioms 231; XVI On Proportion 240; XVII Application of Algebra to the Measurement of Lines,; Angles, Proportion of Figures, and Surfaces 266About the Publisher Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.Forgotten Books' Classic Reprint Series uti