Selected contents
Preface
XI. On the operations of addition and subtraction in Symbolic Algebra
XII. On the operations of multiplication and division in Symbolical Algebr
XIII. On the determination of the highest common divisors, and the lowest common multiples of two or more algebraical expressions
XIV. On the reduction of algebraical expressions to their most simple equivalent forms
XV. Formal statement of the principle of the permanence of equivalent forms
XVI. The theory of indices
XIX. On the general theory and solution of quadratic equations
XX. On the solution of equations of higher orders than the second, which are resolvable into simple or quadratic factors
XXI. The binomial theory and its applications
XXXII. On logarithms, and logarithmic tables and their use
XXXIII. On the determination of the sides and angles of triangles, or trigonometry, properly so called
XXXIV. On the use and application of subsidiary angles
XXXV. On exponential and logarithmic series
XXXVI. On the limits of the values of series proceeding according to ascending or descending powers of a symbol, which is capable of indefinite diminution or increase
XXXVII. On the series and exponential expressions for the sine and cosine of an angle
XXXVIII. On the relations of zero and infinity
XLV. On the solution of simultaneous equations, and the theory of elimination
XLV. On the algebraical solution of binomial equations
XLVI. Sources of ambiguity