IndexC1, 479Ck, 479∆, 581∩, 19∪, 19∇

2, 581π systems, 664nth term test, 167

absolute convergence, 164, 171rearrangement, 164

absolute value, 21complex number, 39

acceleration, 146, 201additive inverse

unique, 16adjugate, 429, 453agony, pain and suffering, 537alternating series, 170alternating series test, 170amplitude, 65angle between planes, 312angle between vectors, 295angles

degrees, 52radian measure, 52

angular velocity, 307angular velocity vector, 371annuity

ordinary, 30antiderivative, 179antiderivatives

integration by parts, 203partial fractions, 212tabular integration, 204

arc length, 345Archimedian property, 27area

circular sector, 63area between two graphs, 206area of a parallelogram, 301areas

surfaces of revolution, 225arithmetic mean, 514augmented matrix, 397auspicious substitutions, 211average velocity, 145

balance of momentum, 594basis, 413

basis, 627Bernoulli law, 489Bernstein polynomials, 116Bezier curves, 353binomial series, 256binomial theorem, 26, 31

infinite series, 258binormal, 358Borel sets, 666bounded, 95, 320box product, 304

Caratheodory’s procedure, 653cardioid, 270Cartesian coordinates, 280Cartesian product, 50, 320Cauchy, 102Cauchy condensation test, 166Cauchy criterion for sums, 163Cauchy mean value theorem, 144Cauchy product, 173Cauchy Schwarz inequality, 287, 293, 294Cauchy sequence, 95

convergence, 97Cauchy stress, 596Cavendish, 367Cayley Hamilton theorem, 454center of mass, 306central force, 360central force field, 366centripetal force, 274chain rule, 130

functions of many variables, 484change of variables formula, 184, 564characteristic polynomial, 430, 454chi-squared, 248circular functions, 74circulation density, 623classical adjoint, 429closed and bounded

sequentially compact, 95closed set, 318closed subset of compact set, 95coefficient of thermal conductivity, 495cofactor, 422, 423, 450cofactor matrix, 423column space, 410compact, 336compactness

689