Calculus: Analytic Geometry and Calculus, with Vectors

728

Doodle, 66

Dot product (see Scalar product)

Double integrals, 667-695

Duhamel difficulty, 420

Dummy variables, 213

Duplication of cube, 536

Dwight tables, 206

Dynamic concept of function, 112

Earth, curvature of, 435
orbit of, 373
radius of, 412-413
Eccentricity of conic, 363-366
Economics problems, 333-334
Eigenvalues of matrix, 96
Eigenvectors of matrix, 96
Elastic demand, 333-334
Elastic rod, 256
Electric current, 171, 181, 455
Electromotive force, 146
Elementary functions, 166, 277
Elimination of parameters, 287
Ellipses, 241, 363, 365, 369-379,
549, 683
Ellipsoids, 248, 403-404, 569
Elliptic disk, area of, 241
Elliptic integrals, 422, 636
Elliptic reflectors, 377
Elliptic type, 390, 396
Empty set, 26
Epicyclic gears, 401
Epicycloids, 400-401
Epsilon-delta assertions, 124, 126,
133-135, 214, 326, 669, 677,
685, 695, 697, 707
Equations, systems of, 90
Equilateral hyperbolas, 367-368
Equipotential surfaces, 567, 569
Eratosthenes, 413
Error(s), rounding, 281
(See also Approximations)

Error functions (see Gauss prob-
ability functions)

Index

Euler, Leonhard, 486, 516

Euler constant -y (gamma), 602,

644

Euler formulas, 506, 628, 651

Euler gamma integral, 521, 685

Euler integral for z!, 521, 685

Euler line of triangle, 23

Euler _Maclaurin formulas, 640-651

Even function, 118

Evolute of curve, 433

Existence of Riemann integrals,

215-216

Exponent(s), laws of, 481, 483

Exponential base e, 38, 126, 281,

493-505

expressed as limit, 495, 504--505

irrationality of, 596-597

Exponential function, 38, 481-525

calculation of, 488-489

derivative of, 493

elementary theory, 490-491

graph of, 38

series for, 231, 498-499, 505

table of, end papers

Exponential inequalities, 482

Exponential series, 231, 498, 505

Exponential (or logarithmic) spiral,

532, 544

Extension of partition, 345

Extrema (see Maxima and minima)

Factorial(s), 137, 138-140, 228,

456, 476, 487, 521-524, 607,

644-651,685-687

Factorial integral, 521, 685

Falling bodies, 42-46, 180-181, 210

Family of planes, 79

Feller, William, 643

Fibonacci sequences, 626-627

Finite, off-beat meanings, 323

Finite mathematics, 319, 344

Finite numbers, 144

Fishing expedition, 632