IndexC1, 468Ck, 468∆, 567∩, 19∪, 19∇

2, 567π systems, 650nth term test, 159

absolute convergence, 156, 163rearrangement, 156

absolute value, 21complex number, 39

acceleration, 139, 193additive inverse

unique, 16adjugate, 417, 441agony, pain and suffering, 524alternating series, 162alternating series test, 162amplitude, 65angle between planes, 304angle between vectors, 287angles

degrees, 52radian measure, 52

angular velocity, 299angular velocity vector, 361annuity

ordinary, 30antiderivative, 171antiderivatives

integration by parts, 195partial fractions, 204tabular integration, 196

arc length, 337Archimedian property, 27area

circular sector, 62area between two graphs, 198area of a parallelogram, 293areas

surfaces of revolution, 217arithmetic mean, 502augmented matrix, 385auspicious substitutions, 203average velocity, 139

balance of momentum, 580basis, 401

basis, 613Bernoulli law, 478Bernstein polynomials, 112Bezier curves, 344binomial series, 248binomial theorem, 26, 31

infinite series, 250binormal, 350Borel sets, 652bounded, 92, 312box product, 296

Caratheodory’s procedure, 639cardioid, 262Cartesian coordinates, 272Cartesian product, 50, 312Cauchy, 97Cauchy condensation test, 158Cauchy criterion for sums, 155Cauchy mean value theorem, 138Cauchy product, 165Cauchy Schwarz inequality, 279, 285, 286Cauchy sequence, 93

convergence, 94Cauchy stress, 582Cavendish, 356Cayley Hamilton theorem, 442center of mass, 299central force, 351central force field, 356centripetal force, 266chain rule, 124

functions of many variables, 472change of variables formula, 176, 550characteristic polynomial, 418, 442chi-squared, 241circular functions, 73circulation density, 609classical adjoint, 417closed and bounded

sequentially compact, 92closed set, 310closed subset of compact set, 92coefficient of thermal conductivity, 483cofactor, 410, 411, 438cofactor matrix, 411column space, 398compact, 328compactness

673