本書特別注意代數和幾何原理中的幾個要點,這在關于這些科學的基礎著作中沒有得到應有的重視。有兩類人可能通過這類作品受益,迄今不加證明地將學生限制在規(guī)則下的基礎教師和已經在這個系統(tǒng)下獲得一些知識的學生,這些學生通過查找以前的方法和成就的不足找到進一步發(fā)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