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Rich B., Schmidt Ph. — Schaum's Outline of Elementary Algebra (Schaum's Outline Series)
Rich B., Schmidt Ph. — Schaum's Outline of Elementary Algebra (Schaum's Outline Series)

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Название: Schaum's Outline of Elementary Algebra (Schaum's Outline Series)

Авторы: Rich B., Schmidt Ph.

Аннотация:

Schaum's Outlines contain hundreds of solutions to problems covered in any college course. This guide, which can be used with any text or can stand alone, contains at the beginning of each chapter a list of key definitions, a summary of major concepts, step by step solutions to dozens of problems, and additional practice problems.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 3rd Edition

Год издания: 2004

Количество страниц: 400

Добавлена в каталог: 22.05.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\cdot$ (dot)      4
$\cong$ (congruence symbol)      106
$\Delta$ (delta)      153
$\neq$ (does not equal)      21
$\pi$ (pi)      111
$\pi$ (pi), (times)      4
$\sqrt{}$ (square root)      262
$\times$ (times)      4
()      see “Parenheses”
+ (plus sign)      4 43—44 48
- (minus sign)      4 43—44 51
: (colon)      176
Abscissa      131 138
Absolute value      44
Acute angle, trigonometric functions of an      315
Acute triangle      108
Addends      2 344
Addition and order of operations      8
Addition of decimals      349
Addition of fractions      347
Addition of fractions with different denominators      251—252
Addition of fractions with same denominator      250
Addition of mixed numbers      347
Addition of monomials      65
Addition of polynomials      66
Addition of signed numbers      48—19 50
Addition of square roots      271
Addition rule of equality      25 30
Addition, algebraic representation of      5
Addition, checking      2 344
Addition, interchanging numbers in      2 5
Addition, simplifying      2
Addition, solving a pair of equations by      163
Addition, subtraction as inverse of      24 126
Addition, symbol for      4
Addition, terms used in      344
Addition, words denoting      5
Adjacent angles      179—180
Age problems      175
Angle problems      179—180
Angle(s), adjacent      179—180
Angle(s), base      108
Angle(s), complementary      179—180 316
Angle(s), congruent      107
Angle(s), corresponding      307
Angle(s), duplicating/copying      328
Angle(s), pairs of      179—180
Angle(s), supplementary      179—180
Angle(s), trigonometric functions, of an acute      315
Angle(s), trigonometric functions, of complementary      316
Arcs      108
Area of a parallelogram      116
Area of a polygon      115
Area of a rectangle      116
Area of a square      12 116
Area of a trapezoid      116
Area of a triangle      116 (see also “Surface area”)
Area, ofacircle      115 116
Aristotle      105
Arms (of right triangle)      108
Axis of symmetry      333
Axis of symmetry of a figure      331
Axis of symmetry of two points      330—331
Axis(-es)      138
Base      11
Base angles      108
Base of a percentage      350
Base, dividing powers of the same      74—75
Base, multiplying powers of the same      71
Binomial(s), defined      53
Binomial(s), product of two, with like terms      219—220
Binomial(s), squaring      223
Boxes      see “Rectangular solid(s)”
Braces      69
Brackets      69
Calculator(s), finding square root of a number using a      266
Calculator(s), graphing      354—357
Calculator(s), performing fundamental operations with a      352
Center of symmetry of a figure      330
Center of symmetry of two points      330
Change, measuring      226
Chord (of a circle)      108
Circle(s), arc of      108
Circle(s), area of a      115 116
Circle(s), chord of      108
Circle(s), circumferenceof      107 lll
Circle(s), diameter of      108
Circle(s), radius of      107
Circle(s), sector of      107 108
Circular cone      110
Circular cylinder      110—111
Circumference      107
Circumference, formula for      111
Coefficients      10
Coin or stamp problems      185
colon      176
Common monomial factors      214 225
Common solution (of two linear equations)      147
Comparing signed numbers      45—16
Complementary angles      179—180
Complementary angles, trigonometric functions of      316
Completing the square, solving quadratic equations by      289—290
Complex fractions, defined      253
Complex fractions, simplifying      254
Conditional equalities      21
Cone(s)      109 110
Cone(s) of revolution      110
Cone(s), circular      110
Cone(s), volume of a      121
Congruent angles      107
Congruent segments      106
Congruent sides      107
Congruent triangle(s)      326—328
Congruent triangle(s), properties of      326—327
Congruent triangle(s), rules for determination of      327—328
Consecutive-integer problems      173
Consistent equations      147
Constant(s) and direct variation      227
Constant(s), defined      226
Continued ratios      176—177
Coordinates of a point      138
Corresponding angles      307
Corresponding sides      307
Cosecant (esc)      315 316
Cosine (COS)      315 316
Cost and mixture problems      187
Cotangent (COT)      315 316
Counting numbers      343
Cross product      219
Csc (cosecant)      315 316
Cube root(s)      262—263
Cube root(s) as rational numbers      264
Cube root(s) of revolution      116
Cube root(s), volume of a      121
Cube(s)      109—110
Cube(s), surface area of a      116
Cube(s), volume of a      12 121
Cubicunits      110 120
Curved line(s)      106
Cyhnder(s), circular      110—111
Decagon      107
Decimal(s)      348—350
Decimal(s) as rational numbers      264
Decimal(s), adding and subtracting      349
Decimal(s), approximate value of a      348
Decimal(s), changing fractions to      348
Decimal(s), changing percents to      350
Decimal(s), defined      348
Decimal(s), multiplying and dividing      349—350
Decimal(s), rounding      348
Decimal(s), solving equations containing      94
Denominator(s), adding or subtracting fractions, with common      250
Denominator(s), adding or subtracting fractions, with different      251—252
Denominator(s), lowest common      93 251—252 346
Denominator(s), rationalizing the      274—275
Denominator(s), solving equations with fractions, with different      93
Denominator(s), solving equations with fractions, with same      92
Dependent equations      147—148
Deriving formulas      124
Deriving linear equations from a table of values      150—151
Descartes, Rene      46
Diameter      108
Difference      1
Difference of two squares      218—219
Difference, defined      344
Direct variation      226
Direct variation with constant ratio k      227
Direct variation without constant      227
Direct variation, multiplication and division in      228
Distance between two points      153 302
Distributive law      72
Dividend      344
Division and order of operations      8
Division by a fraction      28
Division by zero      4 57 242
Division in direct variation      228
Division in inverse variation      231
Division of a polynomial, by a monomial      76
Division of a polynomial, by a polynomial      77
Division of line segment into parts      106
Division rule of equality      25
Division with decimals      349—350
Division with fractions      249 346—347
Division with mixed numbers      346—347
Division with monomials      75
Division with powers with the same base      74—75
Division with reciprocals      244
Division with signed numbers      56—57
Division with square roots      273—274
Division, algebraic representation of      6
Division, checking      345
Division, fraction as signifier of      241
Division, multiplication as inverse of      24 126
Division, order of numbers in      6
Division, symbol for      4
Division, terms used in      344
Division, using, to solve equations      26
Divisor      344
Dodecagon      107
Elements (Euclid)      105
Equality(-ies) as scale in balance      25
Equality(-ies), conditional vs. unconditional      21
Equality(-ies), defined      21
Equality(-ies), left member of      21
Equality(-ies), maintaining      25
Equality(-ies), right member of      21
Equality(-ies), rules of      25
Equation(s), checking      21
Equation(s), consistent      147
Equation(s), decimals in      94
Equation(s), defined      21
Equation(s), dependent      147—148
Equation(s), fractions with different denominators in      93
Equation(s), fractions with same denominator in      92
Equation(s), inconsistent      147
Equation(s), parentheses in      91
Equation(s), radical      276
Equation(s), root of      21
Equation(s), rules of equality for solving      25
Equation(s), satisfying the      21 143
Equation(s), simple      23
Equation(s), solution to      21
Equation(s), solving literal      96
Equation(s), solving pairs of      163 166
Equation(s), translating verbal statements into      22
Equation(s), using division to solve      26
Equation(s), using inverse operations to solve      23
Equation(s), using multiplication to solve      28
Equation(s), using transposition to solve      90 (see also “Specific headings e.g. Quadratic
Equiangular polygons      107
Equilateral polygons      107
Equilateral triangle      108
Equivalent fractions      243 345—346
Euclid      105
Exponents      11
Expression(s) with signed numbers      58
Expression(s), cube root      264
Expression(s), defined      10 64
Expression(s), factors of an      213
Expression(s), square root      264
Extraneous roots      276
Extremes (of a proportion)      306
Factor(s) of a number      213
Factor(s) of a polynomial      213—214 225
Factor(s) of a product      213
Factor(s) of a quadratic equation      285
Factor(s) of an expression      213
Factor(s) of perfect-square trinomials      223—224
Factor(s) of terms      10
Factor(s) of the difference of two squares      218—219
Factor(s) of trinomials, of form $ax^2+bx+c$      222
Factor(s), common monomial      214 225
Factor(s), defined      3 64
Factor(s), highest common monomial      214—215 225
Factor(s), monomial      214
Factor(s), preferred order of      3
Factor(s), repeated multiplication of      11—12
Factor(s), zero in      241—242
Figure(s)      106
Figure(s), axis of symmetry of a      331
Figure(s), center of symmetry of a      330
First-degree equations, in one unknown, defined      86 142 143
First-degree equations, in one unknown, solving, by transposition      90
First-degree equations, in one unknown, solving, where solution is negative      88
First-degree equations, in two unknowns      142—143
Formula(s) for area      116
Formula(s) for volume      121
Formula(s), defined      111
Formula(s), deriving      124
Formula(s), finding the value of an unknown in a      128
Formula(s), solving, for a letter      126
Formula(s), subject of a      126
Formula(s), transforming      126
Fraction bar      4 69
Fraction(s)      345—348
Fraction(s), adding      347
Fraction(s), adding or subtracting, with different denominators      251—252
Fraction(s), adding or subtracting, with same denominator      250
Fraction(s), as rational numbers      264
Fraction(s), as ratios      241
Fraction(s), changing decimals to      348
Fraction(s), changing, to equivalent fraction      345—346
Fraction(s), clearing of      92 93
Fraction(s), complex      253—254
Fraction(s), dividing      249
Fraction(s), dividing by a      28
Fraction(s), dividing mixed numbers and      346—347
Fraction(s), equivalent      243 345—346
Fraction(s), fundamental law of      345
Fraction(s), improper      345
Fraction(s), multiplying      248
Fraction(s), multiplying mixed numbers and      346—347
Fraction(s), proper      345
Fraction(s), rationalizing the denominator of a      274—275
Fraction(s), reducing, to lowest terms      246
Fraction(s), simplifying the square root of a      269
Fraction(s), square root of a      217 269
Fraction(s), squaring      215
Fraction(s), subtracting      347
Fraction(s), terms of a      241 345
1 2 3
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