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Steege R., Bailey K., Hademenos G.J. - Intermediate Algebra: Based on Schaum's Outline of Theory and Problems of Intermediate Algebra
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Название: Intermediate Algebra: Based on Schaum's Outline of Theory and Problems of Intermediate AlgebraАвторы: Steege R., Bailey K., Hademenos G.J.Язык: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Количество страниц: 120Добавлена в каталог: 14.05.2008Операции: Положить на полку |
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Предметный указатель
Abscissas 34 Absolute value 10 Absolute-value equations 43-45 Absolute-value functions 93 Absolute-value inequalities 43-45 Addition 10-11 27 70-71 80-81 Addition property of equality 32 Algebra, binomial theorem 109-113 Algebra, exponential and logarithmic functions 95-104 Algebra, exponents 46-48 Algebra, first-degree equations 30-40 Algebra, functions 85 Algebra, fundamental concepts 1-12 Algebra, inequalities 40-45 64-66 Algebra, polynomials 13-22 Algebra, radicals 49-53 Algebra, rational expressions 23 -29 Algebra, relations and functions 83-94 Algebra, roots 48-49 Algebra, second-degree equations 54-66 Algebra, sequences 105-107 Algebra, series 107-109 Algebra, systems of equations and inequalities 67-82 Algebraic expressions 13-15 Arithmetic progressions 106 Arithmetic sequences 106 Associative properties 9 Augmented matrix 78 Axioms 5 Axis of symmetry 63 Binomial coefficients 112 Binomial theorem 109-113 Binomials 14 Cartesian product 83-85 Closed interval 8 Closure properties 8-9 Coefficient matrix 78 Coefficients 14 Combining like terms 16 Common logarithims 99-100 Common ratio 107 Commutative properties 9 Completing the square 57-58 Complex fractions 29 components 34 Composition of functions 85 Compound interest 102-103 Conditional equations 31 Consistent systems 68 Constants 4 Contradictions 31 coordinates 6 Counting numbers 2 Cramer's Rule 76-77 Critical values 65 Cube roots 49 definitions 13-15 Definitions, absolute value functions 93 Definitions, addition 27 Definitions, Cartesian Product 83 Definitions, conditional equations 31 Definitions, contradictions 31 Definitions, cube roots 49 Definitions, determinants 75-76 Definitions, division 26 Definitions, domain 84 Definitions, equations 31 Definitions, equivalent equations 32-33 Definitions, equivalent inequalities 40 Definitions, explicit solutions 37 Definitions, exponential functions 95-96 Definitions, formulas 37 Definitions, functions 84 Definitions, General Form 90 Definitions, identities 31 Definitions, inequalities 40 Definitions, integer exponents 48 Definitions, Intercept Form 90 Definitions, inverse functions 93-94 Definitions, inverse relations 93-94 Definitions, less than 6 Definitions, linear functions 91 Definitions, literal equations 37 Definitions, logarithmic functions 97-98 Definitions, multiplication 25 Definitions, notation 85 Definitions, Point-Slope Form 89 Definitions, principal fourth roots 49 Definitions, principal nth roots 49 Definitions, principal square roots 49 Definitions, proportions 38 Definitions, quadratic functions 92-93 Definitions, range 84 Definitions, ratios 38 Definitions, relations 84 Definitions, roots 31 Definitions, sets 2-4 Definitions, Slope-Intercept Form 89 Definitions, solution sets 31 40 Definitions, solutions 31 40 Definitions, square root functions 93 Definitions, Standard Form 90 Definitions, subtraction 27 Definitions, x-intercepts 36 Definitions, y-intercepts 36 Definitions, zero exponents 46 Dependent systems 70 dependent variables 84 Determinants 74-76 Differences 15-16 26-29 Distance 86-87 Distance formula 86-87 Distributive properties 10 Division 11 20-21 26 Domain of a variable 4 domains 84 Elements of a set 1-3 Empty sets 2 Equations, absolute-value 43-45 Equations, conditional 31 Equations, definition 31 Equations, equivalent 32-33 Equations, exponential 100-101 Equations, first-degree 30-40 Equations, linear 36 88-91 Equations, literal 37-38 Equations, logarithmic 100-101 Equations, non-linear 80-81 Equations, quadratic 54-55 61 Equations, radicals 60-61 Equations, second-degree 54-66 Equations, systems 67-82 Equivalent equations 31 equivalent expressions 16 Equivalent inequalities 40 Expansion by minors 75 Exponential decay 103-104 Exponential equations 100-101 Exponential growth 103-104 Exponential properties 97 Exponents 46-48 Expressions 13-15 Factoring 18-19 Factors, solving quadratic equations 55-56 Finite sequences 105 First components 34 First-degree equations 30-40 First-degree equations, graphs 34-37 First-degree inequalities, applications 43-45 First-degree inequalities, graphs 42-43 First-degree inequalities, solutions 40-42 formulas 37-38 Formulas, distance 86-87 Formulas, quadratic 58-60 Formulas, slope 87-88 Fractions 24 29 Functions 83-94 95-104 Fundamental principle of fractions 24 Geometric progressions 106-107 Geometric sequences 106-107 graphs 6 84 Graphs, first-degree equations 34-37 Graphs, inequalities 42-43 GROUPING 18-19 Half-open interval 8 Half-planes 42 identities 31 Identities, properties 9 Implicit domains 84-85 Improper subsets 2 Inconsistent systems 69 Independent systems 68 Independent variables 84 Index of the summation 108 Indexes 49 Inequalities 40-45 64-66 Inequalities, systems 67-82 Infinite geometric series 109 Infinite sequences 105 Infinite series 109 infinity symbol 8 Integers 4 Interest 102-103 Intersection of sets 3 Interval notation 7-8 Inverse functions 93-94 Inverse properties 9-10 Inverse relations 93-94 Irrational numbers 4 laws 5 Laws, exponents 17-18 21-22 Laws, integer exponents 48 LCD see 'Least common denominator' Least common denominator 28-29 Like radicals 53 Like terms 16 Linear equations 36 Linear equations, forms 88-91 Linear functions 91 Linear systems, three variables 72-74 Linear systems, two variables 67-72 Literal equations 37-38 Logarithmic equations 100-101 Logarithmic functions 95-104 97-100 Logrithms 99-100 Lower limit of the summation 108 Matrix 77-79 Maximum point 63 Members of a set 1-3 Minimum point 63 Minors of an element 75 Mixed operations 29 Monomials 14 Multiplication 11 25-26 Multiplication property of equality 32 Natural exponential functions 96 Natural logarithims 99-100 Natural numbers 2 Negative infinity symbol 8 negative numbers 6 Negative-integer exponents 47-48 Nonlinear equations 80-81 Nonlinear systems 80-81 Nonnegative numbers 7 Nonpositive numbers 7 Notation 85 108 Null sets 2 Number lines 5-6 Open interval 8 Operations 10-11 order of operations 11 Ordered pairs 34 Ordinates 34 origins 6 Parabolas 61-63 Parallel lines 90 Pascal, Blaise 110 Pascal's triangle 110-111 Perpendicular lines 91 Polynomial functions 92-93 Polynomials 13-22 Positive numbers 6 PRIMES 18 Principal nth roots 49 Principal square roots 49 Principles 5 Principles, fundamental of fractions 24 Products 16-18 Proper subsets 2 Properties 5 Properties, absolute-value equations 44-45 Properties, addition of equality 32 Properties, closure 8-9 Properties, commutative 9 Properties, distributive 10 Properties, equations involving radicals 60-61 Properties, exponential 97 Properties, inequalities 40-41 Properties, logarithmic 100 Properties, multiplication of equality 32 Properties, radicals 50 Properties, rational expressions 23-24 Properties, real numbers 8-10 Properties, zero factor 55 proportions 38 Pythagorean Theorem 86 Quadratic equations 54-64 Quadratic formula 58-60 Quadratic functions 91-93 Quadratic inequalities 65-66 Radical signs 49 Radicals 49-53 Radicals, equations 60-61 Radicands 49 Rational exponents 48-49 Rational expressions 23-29 Rational inqualities 64-66 Rational numbers 4 Rationalizing the denominator 51-52 Ratios 38 Real numbers 4 30 Real numbers, operations 10-11 Real numbers, properties 8-10 Reflexive properties 5 Relations 83-94 Roots 31 48-49 Row-equivalent matrices 78-79 SCALE 6 Second components 34 Second-degree equations 54-66 Second-degree equations, graphs 61-64 Second-degree equations, solving 54-57 Second-degree inequalities 54-57 Second-order determinants 75 Sequences 105-107 Series 107-109 Sets 1-4 31 Sign diagrams 65 Slope of a line 87-88 Solution sets 31
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