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