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Bettinger A.K. — Algebra and Trigonometry (International Textbooks in Mathematics)
Bettinger A.K. — Algebra and Trigonometry (International Textbooks in Mathematics)



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Название: Algebra and Trigonometry (International Textbooks in Mathematics)

Автор: Bettinger A.K.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1963

Количество страниц: 356

Добавлена в каталог: 04.05.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$x$-axis      49
$x$-coordinate      50
$y$-axis      49
$y$-coordinate      50
Abscissa      50
Absolute value      14 57
Absolute value function      57
Addition      2
Addition formulas      135
Addition, fundamental laws for      2
Addition, of algebraic expressions      21
Addition, of fractions      36
Addition, of real numbers      2
Algebraic expressions      17
Algebraic expressions, addition and subtraction of      21
Algebraic expressions, division of      23
Algebraic expressions, multiplication of      22
Algebraic expressions, symbols of grouping of      18
Algebraic expressions, transposing terms of      43
Amplitude of a trigonometric function      149 152
Angle, coterminal      76
Angle, definition of      75
Angle, degree measure of      77
Angle, initial side of      75
Angle, measurement of      76
Angle, negative of      75
Angle, of depression      120
Angle, of elevation      120
Angle, positive of      75
Angle, radian measure of      77
Angle, standard position of      75
Angle, terminal side of      75
Angle, trigonometric functions of      81 82
Angle, vertex of      75
antilogarithms      109
Arc of a circle      78
Area of a sector of a circle      78
Area of a triangle      302
Arithmetic means      262
Associative law for addition      2
Associative lawfor multiplication      2
Axes, coordinate      49
Axis of symmetry of a parabola      219
Base of logarithms      101 113
Base, change of logarithmic      113
Base, exponent and      16 86
Bearing in navigation and surveying      121
binomial      17
Binomial series      271
Binomial theorem      97
Binomial theorem, combinations applied to      282
Binomial theorem, general term of      99
Binomial theorem, proof of, for positive integral exponents      275
Braces      18
Brackets      18
Cartesian coordinates      50
Characteristic of a logarithm      106
Characteristic of the general quadratic equation      222
Circular system      77
Classification of functions      61
Coefficient      17 18
Combinations      278 281
Combinations, and the binomial coefficients      282
Common difference      260
Common logarithms      105
Common ratio      265
Commutative law      2
Completing the square      206
Complex fractions      40
complex numbers      189
Complex numbers, absolute value of      196
Complex numbers, addition and subtraction of      192
Complex numbers, amplitude of      196
Complex numbers, argument of      196
Complex numbers, congugate of      191
Complex numbers, De Moivre’s Theorem      199
Complex numbers, definition of      189
Complex numbers, division of      193 198
Complex numbers, graphical representation of      195
Complex numbers, modulus of      196
Complex numbers, multiplication of      192 198
Complex numbers, roots of      200
Complex numbers, trigonometric representation of      196
Composite (reducible) polynomial      26
Composite number      25
Conditional equation      18
Constant      53
Constant function      53
Convergence of series      259
Coordinate systems, Cartesian      50
Coordinate systems, one-dimensional      49
Coordinate systems, rectangular      49
coordinates      49 50
Cosecant, definition of      65
Cosine, definition of      64
Cotangent, definition of      65
Coterminal angles      76
Counting numbers      1
De Moivre’s Theorem      199
Defective equations      45
Degree of a polynomial      17
Degree of a term      17
Degree, relation to radian      77
Degree, term of highest      17
Degree, unit of angle measure      77
Dependent events      286
Descartes, Rene      50
Determinants      173
Determinants, expansion of      176
Determinants, minors and cofactors of      175
Determinants, of the second order      173
Determinants, of the third order      175
Determinants, principal and secondary diagonal of      174
Determinants, properties of      177
Determinants, solution of linear equations by means of      181 183 184
Determinants, sum and product of      185
Directed line segment      122
Discriminant      215
Distance between points      50 51
Distributive law      3
Division      5 16 23 25 39
Domain of a function      53
Double-angle formulas      139
Empirical probability      284
Equality symbol      12
Equations, conditional      18
Equations, consistent      163 164 165
Equations, defective      45
Equations, definition of      18
Equations, dependeht      165
Equations, equivalent      43
Equations, extraneous roots of      45 213
Equations, in quadratic form      204 214
Equations, inconsistent      163 165
Equations, independent      164
Equations, linear      42 43 163 166 167
Equations, solution of      42 163 171 181 183 184 212 224 227
Exponential equations      231
Exponents      16 86 88 90 92
Factor Theorem      240
Factorial symbol      97
Factoring      25 27
Fractions      9
Fractions, addition and substraction of      36
Fractions, complex      40
Fractions, fundamental operations on      9 10
Fractions, multiplication and division of      39
Fractions, reduction of      33
Fractions, signs associated with      34
functions, absolute value      57
Functions, algebraic      61
Functions, classification of      61
Functions, constant      53
Functions, definition of      53
Functions, domain of      53
Functions, exponential      233
Functions, graphs of      146 147 148 169 218 233 244
Functions, greatest integer      57
Functions, identity      53
Functions, inverse      155
Functions, irrational      62
Functions, linear      54 169
Functions, logarithmic      233
Functions, multiple-valued      53
Functions, notation for      55
Functions, periodic      149
Functions, point      63
Functions, polynomial      61
Functions, range of      53
Functions, rational      61
Functions, rule of correspondence of      53
Functions, single-valued      53
Functions, transcendental      61
Functions, trigonometric      63
Fundamental assumptions      1
Fundamental operations      1 9 10 20
Fundamental theorem of algebra      241
General term in the binomial expansion      99
Graphs of exponential functions      233
Graphs of inverse trigonometric functions      158 159
Graphs of linear functions      169
Graphs of logarithmic functions      233
Graphs of polynomials for large values of $x$      244
Graphs of trigonometric functions      146 147 148 149 151 152
Greater-than symbol      12
Greatest common divisor      30
Greatest-integer function      57
Half-angle formulas      140 300
Highest common factor      31
Highest degree term      17
Horizontal line      50 189
Identity      18
Independent events      286
Inequalities      248
Inequalities, absolute      248 254
Inequalities, conditional      248 249
Inequalities, involving absolute values      14
Inequalities, properties of      248
Inequalities, solution of conditional      249
Inequality symbol      12
Initial side      75
Intercepts      170
Interpolation      83 108
Inverse functions      155
Irrational functions      62
Irrational number      1
Irreducible polynomial      26
Law of Cosines      296
Law of Sines      289
Law of tangents      298
Law(s) of exponents      86
Least common multiple      32
Less-than symbol      12
Like terms      21
Limit of sequence      258 259
Line, horizontal      50 169
Line, vertical      51 169
Linear equation      42
Linear equation, graphs of      163 169 171
Linear equation, in one unknown      43
Literal parts      17
Logarithmic computation      110
Logarithmic equations      231
Logarithms      101
Logarithms, base of      101
Logarithms, change of base      113
Logarithms, characteristic of      106
Logarithms, common      105
Logarithms, computation by      110
Logarithms, definition of      101
Logarithms, laws of      102
Logarithms, mantissa of      106 108
Logarithms, Napierian (natural)      105
Logarithms, of trigonometric functions      131
Logarithms, tables of      108
Mantissa of a logarithm      106
Mathematical expectation      284
Mathematical induction      273
Mean, arithmetic      262
Mean, geometric      267
Mean, harmonic      264
Meaning of $\alpha^{0}$      98
Meaning of $\alpha^{m/n}$      94
Measurement of angles      76
Monic polynomial      18
Most probable number      284
multinomial      17
Multiplication of algebraic expressions      22
Multiplication of fractions      39
Multiplication, fundamental laws for      2
Mutually exclusive events      285
Natural (Napierian) logarithms      105
Negative exponents      90
negative numbers      7 8
Number scale      6 49
Number, algebraic      62
Number, complex      189
Number, irrational      1
Number, negative      1 7 8
Number, positive      1 7 8
Number, prime      25
Number, real      1
Number, transcendental      62
One-to-one correspondence      49
Operations on fractions      9 10
Operations with zero      5
Order of fundamental operations      20
Order relations for real numbers      12
Ordered number pairs      50
Ordinate      50
Origin      6 49
Parentheses      18
Period      150
periodicity      149 150
permutations      278 279
Phase      149 152
Point function $P(t)$      63
Polynomial      17 18 26 61
Positive integer      1
Positive integral exponents      16 86
Positive numbers      7 8
Power      16 17 86 87 88
Prime      25 26
Principal branch      158
Principal value      158 159 160
probability      278
Probability, empirical      284
Probability, mathematical      283
Product formulas      143
Product, definition of      2
Progressions      256
Progressions, arithmetic      260
Progressions, geometric      265
Progressions, harmonic      264
Progressions, infinite geometric      268
Projections      122
Quadrant      49
Quadratic equations, in one unknown      204
Quadratic equations, in two unknowns      221 224 227
Quadratic equations, methods for solving      204 209
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