Calculus: Analytic Geometry and Calculus, with Vectors

(lu) #1

The Greek Alphabet


Letters Names Letters Names Letters Names
A a alpha I L iota P p rho
B 0 beta K K kappa E or sigma
r y gamma A A lambda T r tau
o a delta M μ mu T v upsilon
E e epsilon N P nu 4' 0 phi
Z r zeta Z E xi X X chi
H n eta 0 0 omicron ' 4' psi
0 -0 theta II a pi n w omega


Index


Abel power series theorem, 629-630
Abel value of series, 340-341
Absolute convergence, 590-592
Absolute (global) maxima and
minima, 295
Absolute value, 3, 150, 152
Absolutely integrable, 609
Abstract vectors, 586
Acceleration, 179, 436-437, 544
of gravity, 45
radial, 437, 545
transverse, 437, 545
Algebra, of matrices, 94
modern, 352
of rational functions, 351
of vectors, 48-110
Algebraic equations, 448
Algebraic functions, 448
Algebraic graphs, 448
Algebraic numbers, 449
Alternating series, 610-611
Attitudinal lines, 20-23
Amplitude of sinusoid, 182
Anchor ring (see Torus)
Angles, 10, 16, 50-51, 67, 73, 439

Angular frequency, 39
Antiderivatives, 203
Any (troublesome word), 124
Approximation(s), 123
by differentials, 194-201, 568
to exponentials, 488
to integrals, 276-283
and limits, 122-144
to logarithms, 488
Newton method of, 318
to square roots, 8-9
successive, 8-9, 318
Arbitrary constant, 204
Arc(s) of circle, 438-439
Arc length (see Length)
Archimedes, 212, 224, 234
Archimedes integral, 349
Archimedes property, 5, 320, 352
Archimedes spiral, 532
Area, 92, 229-230, 235-244, 348
in polar coordinates, 547-550
of surface, 425, 447-448, 550
Aristotle, 386
Arithmetic means, 341-342, 503-
504
72t
Free download pdf