732Limit(s), of integration, 214, 470
of powers, 128, 495
of Riemann sums, 214, 669, 695,
707
of sequences, 335, 351
unilateral, 133-134
Line integrals (see Curve integrals)
Linear equations, 15
Linear transformer, 75
Lines, 11, 70
Lines of support, 285, 293-294
Linkage, 186
Lituus, 546
Local maxima and minima, 295,
305
Logarithm(s), 168, 484-501
calculation of, 488, 500
Logarithmic derivative, 199
Logarithmic function, 38
derivative of, 165, 493
graph of, 38
table of, end papers
theory of, 484-501
Logarithmic series, 500
Lower bound, 212
Lower integral (Darboux), 346
Lower sum (Darboux), 344
Loxodromes (rhumb curves), 185Mach number, 388
Machin formula for T/4, 468
Maclaurin, 546, 621
Marginal cost and revenue, 334
Mass functions, 259-261
Mathematical induction, 320
Mathematics, queen of sciences,
524
Matrices, 87
algebra of, 94-97
multiplication of, 95
Matrix transformations, 96
Maxima and minima, 294-312
existence of, 315, 333
IndexMaxima and minima, for functions
of n variables, 571-573, 638-
639
Mean value of function, 261
Mean-value theorem, 324
extended, 328, 332
generalized, 329
Measure (Lebesgue), 215, 236,
244, 283, 670, 696, 706
Medians of triangle, 19, 24, 54
Merry-go-round problem, 193
Mid-point formulas, 5, 13, 53
Mid-triangle, 22
Minimum (see Maxima and
minima)
Minor of determinant, 87
Mobius bands, 676
Moment(s), 120, 260-262, 269-
275, 423, 677, 690, 697-700
Moments of inertia (see Moments)
Monotone functions, 294, 347, 410
Monotone sequences, 337
Motion, workaday definitions, 179-
180
Multiple integrals (see Double in-
tegrals; Iterated integrals;
Triple integrals)
Multiple point, 417
Multiplication of series, 623-627
Multiplicities of zeros, 517
Museum of SPC, 102Napier tables, 485-486
Nappe of cone, 361
Natural logarithms (base e) (see
Logarithms)
Newton approximationto zeros,
318
Newton law of gravitation, 74,
254, 551, 711-714
(See also Gravitational attrac-
tion)
Newton notation, 153, 164