本书特别注意代数和几何原理中的几个要点,这在关于这些科学的基础著作中没有得到应有的重视。有两类人可能通过这类作品受益,迄今不加证明地将学生限制在规则下的基础教师和已经在这个系统下获得一些知识的学生,这些学生通过查找以前的方法和成就的不足找到进一步发展。
		
	
	I.Introductory Remarks on the Nature and Objects of Mathematics
	II.On Arithmetical Notation
	III.Elementary Rules of Arithmetic
	IV.Arithmetical Fractions
	V.Decimal Fractions
	VI.Algebraical Notation and Principles
	VII.Elementary Rules of Algebra
	VIII.Equations of the First Degree
	IX.On the Negative Sign, etc
	X.Equations of the Second Degree
	XI.On Roots in General, and Logarithms
	XII.On the Study of Algebra
	XIII.On the Definitions of Geometry
	XIV.On Geometrical Reasoning
	XV.On Axioms
	XVI.On Proportion
	XVII.Application of Algebra to the Measurement of Lines,Angles, Proportion of Figures, and Surfaces
	INDEX