On vulgar fractions; On decimal fractions; Signs used in algebra; The addition of algebraical quantities; Subtraction; Multiplication; Division; On algebraical fractions; Involution and evolution; Simple equations; Quadratic equations; On ratios; On proportion; On variation; On arithmetical progression; On geometrical progression; On permutations and combinations; The binomial theorem; On surds; The nature of equations; The transformation of equations; The limits of the roots of equations; The depression of equations; The solution of recurring equations; The solution of a cubic equation; Des Cartes's solution of a biquadratic; Dr Waring's solution; The method of divisors; The method of approximation; The reversion of series; The sums of the powers of the roots of an equation; On the impossible roots of an equation; On unlimited problems; On continued fractions; The value of a fraction whose numerator and denominator are evanescent; The least common multiple; The cube root; On logarithms; On interest and annuities; On the summation of series; On chances; On life annuities; On the nature of curves; On the construction of equations; General properties of curve lines.