Page 210 - Foundations Of Differential Calculus

Index

algebraic function, 77, 80, 94, 96, differentiating a quotient, rule for,
97, 105 88
arithmetic progression, 1, 4, 21, differentiodifferential, 67
23, 25–27, 31, 68 divergent series, 60, 61

constant quantities, v, vi, 17, 36, exponential quantity, 106–108
65, 68, 77, 107, 171, 172
fluxion, 64, 72
convergent series, 61
function, vi
curves, calculus applied to, 156
defined implicitly, 94, 167
homogeneous in several vari-
difference, 1–19, 21–36, 39, 42, 43, ables, 131
50, 51, 54, 55, 61, 63–69,
of three variables, 125
72, 77
of two variables, 125
differential, vii, viii
equation, 168 general term, 2, 26–29, 31–37, 39–
imaginary versus real, 183 44, 56, 57
of the product, 85
second- and higher-order, 74, infinite number, 49
96 infinitely large quantity, 53–57, 73
differential calculus, v, vii–xiii, 52, infinitely small quantity, 51
64–66, 71, 72, 74, 75, 125, infinity, increased to, 47, 48
127, 139, 192 integral calculus, vii, 72, 74, 75,
differential equation, 167–173, 176– 99, 127, 131, 139, 140,
180, 182–185, 187, 189– 167, 170, 178, 180, 181,
192 184, 188, 192