Advanced Calculus fi..

IndexAbel's formula, 461 (Rob. 10)Abel's summation of series, 61 1 (Rob. 5)Absolute convergence, 386,440,452,463,560maximum, 146,172minimum, 146,172Absolute value of complex number, 438,532Accelerating convergence of series, 410(Prob. 7)Acceleration vector, 127 (Prob. 5)Addition of complex numbers, 532of matrices, 19of vectors, 46Aq's stress function, 615Algebraic equation, 35,587 (Rob. 3), 640Alternating series test, 391Amplitude, 477Analytic function, 430,444,544-624,591-592,688continuation, 550,565along a curve, 547at infinity, 572, 579at a point, 547Angle, 50 $9Angular velocity vector, 186-187 (Rob. 16)Annular domain, 567Antiderivative. See Indefinite IntegralArbitrary constants, 626Arc length, 122-123, 189, 195 (Probs. 6,7),196-197 (Prob. lo), 203,242,247,276278,543Area element vector, 270,3 11-3 15,314(Rob. 9)Area of parallelogram, 5, 12plane, 216,228,278,286, 330 (Prob. 3)of surface, 243-249,305-306of surface of revolution, 248 (Rob. 6)Argument of complex number, 532 (Fig. 8.1)principle, 583Arithmetic mean, 217,230,475,558Average value, 217,230,475,558Base or basis vectors, 2,8,47,62,499Bessel, differential equation, 514, 649-650(Probs. 6,7), 701 (Rob. 4), 702 (Prob. 7)functions, 5 12-5 17,649-650 (Probs. 6.7).697,701 (Prob. 4), 702 (Rob. 7)inequality, 477,500