734
Polar coordinates, 528-552, 687-
695
graphs in, 530
integrals in, 687-695
Polar moment of inertia, 681
Polar points and lines, 390-392
Polynomials, 115, 148, 448, 517
Hermite, 173-174
Laguerre, 174
Tchebycheff, 465
Potential, 255, 425
Potential functions, 568, 658
Power series, 593, 619-640
Pressure (fluid), 274-275
Primary and secondary variables,
5 76
Prime numbers, 120, 143
series of reciprocals of, 630-631
Prismoidal formula, 283
Probability, 58, 300, 522-523, 596,
643, 647-650, 693-694
Feller book, 643
Profits, maximizing, 334
Projectiles, motion of, 183, 199, 210
spinning, 402
Projections, 59Quadrants, 11
Quadratic forms, 393, 572
Quadratic formula, 160
Quadric cones, 407
Quadric sections, 403
Quadric surfaces, 102, 108, 402-
407, 570
Quartic equations, 537
Queer sets, 283, 721-723
Quotients, shilling and built-up,
26-27Rademacher functions, 596
Radial acceleration, 437, 545
Radian (measure of angles), 50,
439IndexRadical axis, 32
Radius, of convergence, 620
of curvature, 428-435
Random-walk problem, 58
Range and domain, 113, 116, 121,
459
Range of projectile, 183, 199
Rare books, 485-486
Rates, 176-193
Ratio test, 599-601
Rational functions, 116, 149, 351
Rational numbers, 5, 338, 343
Real numbers, 1
Rearrangements of series, 597-598
Rectangles, areas of, 235
Rectifiable curve, 410
Rectified sinusoids, 617
Reduction formulas, 514, 520,
522
Regular polygons and circles, 143
Related rates, 188-193
Relative (local) maxima and min-
ima, 295
Relative motion, 192-193
Repeated integrals (see Iterated
integrals)
Repeating decimals, 338
Resistors, 200
Restrictions of functions, 459
Resultant, 50
Riemann integrals, 214-250, 652-
723
as areas, 348
basic properties of, 224-227
existence of, 215-216, 345-353
Riemann sums, 212, 668, 695, 707
compared with Darboux sums,
345-349
Riemann theory of trigonometric
series, 618-619
Riemann zeta function, 603, 607,
614, 617, 630
Riemann-Cauchy integrals, 250-
256, 608-609, 657, 667