Algebra Know-It-ALL

726 Index

mapping (Cont.)
onto, 212
range of, 208–211, 314–315
surjective, 212, 315–317
mathematical
grammar, 56
law, 60
matrix
diagonal form of, 301–304, 341, 343–344
echelon form of, 301–303, 341–343
for solving linear systems, 296–307, 340–345
operations with, 298–300
unit diagonal form of, 300–301, 304–305,
341, 344
maximal domain of mapping, 209–211
maximum
absolute, 399–402, 404–407, 409, 510–515
local, 474–476
member of set, 19–21, 144
million, definition of, 9
minimum
absolute, 398, 400–403, 407–408, 410–411,
510–515
local, 474–476
minus sign
for negative number, 54
monomial, definition of, 363
morph and mix, 251–255, 264–267,
286, 326–329
multiple powers, 119–122
multiplicand, definition of, 66
multiplication
as displacement, 65–66
associative law for, 75–78, 134, 155–157
by zero, 135
commutative law for, 73–75, 134, 155–157
notation for, 70
of complex numbers, 357
of exponents, 120–121
of fractions, 89–90, 159
signs in, 72
multiplicative
identity element, 70–71, 133
inverse, 90, 110
multiplicity of root, 372, 433–437, 459, 503–504
multiplier, definition of, 66
multiplying through, 174–175

Murphy’s law, 189

mutant quadratic, 364–367

N

natural

antilogarithm, 488

exponential, 488, 541–543

logarithm, 480–481, 540–541

natural number

definition of, 35

divisibility of, 43

factor of, 39–42

generation of, 35–38, 147–150

in hierarchy, 167–168

n-by-n linear system, 292

negative

changing reciprocal to, 484

integer power, 95, 163–164

negative number

definition of, 45–47

minus sign in, 54

subtraction of, 56–57

negative power, 138

nondenumerable set, 130–131, 168

nondisjoint sets, 26

nonillion, definition of, 9

nonterminating decimal

nonrepeating, 102–103, 160–161

repeating, 101–102, 160–161

n-space, Cartesian, 292

null set, 20, 27, 31, 35–36, 146

number

comparison with numeral, 142

composite, 40–41, 48–49

conversions, 104–107

even, 39

counting, 7

definition of, 3

games, 206–207

hierarchy, 124–129

integer, 45–49, 51, 109–117, 131–132,

149–153, 167–168

irrational, 103, 124–125, 129–132, 167–168

natural, 35–45, 147–150, 167–168

negative, 45–47, 54, 56–57

odd, 39