On The Study and Difficulties of Mathematics

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