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| Авторизация |
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| Thompson J.E. — Algebra for the Practical Man |
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| Предметный указатель |
Addition of, algebraic numbers 15
Addition of, complex numbers 75
Addition of, negative numbers 17
Addition of, radicals 69
Addition of, vectors 251
Algebra Boolean 239 242
Algebra of logic 241
Algebra, switching 244
Algebra, vector 252
Algebraic addition, general rules for 19
Algebraic numbers, addition of 15
Algebraic subtraction 20
answers to exercises 291
Associative axiom 239
Axioms 239
Binomial theorem 82
Binomial Theorem, how to use 85
Boolean algebra 239 242
Circuit calculations 246
Closure axiom 239
Coefficient 6
Combinations and permutations 224
Combinations and probability 224
Combinations with repetitions 228
Commutative axiom 239
Complement 242
Complex numbers, absolute value of 78
Complex numbers, addition and subtraction of 75
Complex numbers, multiplication and division of 77
Cross product 255
de Morgan’s laws 244
Difference 242
Disjunction 243
Distributive axiom 239
Division of, complex numbers 77
Division of, fractions 37
Division of, monomials 33
Division of, polynomials 34
Division of, positive and negative numbers 10
Division of, radicals 67
Dot product 255
Dualization, laws of 244
Empty set 241
Equations, cubic, complete 132
Equations, cubic, reduced, roots of 133
Equations, exponential 190
Equations, fractional 104
Equations, meaning of 91
Equations, properties of 93
Equations, quadratic, forms of 118
Equations, quadratic, roots of 121
Equations, quadratic, solution of, by completing square 122
Equations, quadratic, solution of, by factoring 119
Equations, quadratic, solution of, by formula 128
Equations, quartic, complete 137
Equations, simple simultaneous, with more than three unknowns 116
Equations, simple simultaneous, with three unknowns 114
Equations, simple simultaneous, with two unknowns 109
Equations, simple solutions of 102
Equations, types of 95
EXPONENT 6
Exponent, zero 62
Exponents, fractional 65
Exponents, negative 62
Exponents, positive 60
Factors 40
Factors of trinomials 44
Factors, monomial 40
Factors, polynomial 41
Idempotency 240
Identities, set 242
Identity axiom 239
imaginary numbers 72
Imaginary numbers, properties of 74
Implication 242
Inner product 255
Interest, compound 193
Intersection 242
Inverses, axiom of 239
Involution, law of 244
Logarithm of, power 166
Logarithm product 164
| Logarithm quotient 165
Logarithm root 167
Logarithms, calculation with, division 181
Logarithms, calculation with, multiplication 179
Logarithms, calculation with, powers 183
Logarithms, calculation with, roots 186
Logarithms, calculation with, slide rule 187
Logarithms, common 171
Logarithms, definitions of 163
Logarithms, properties of 168
Logarithms, systems of 170
Logarithms, tables of 174 296
Logarithms, tables of, how to use 175
Logarithms, transformation from one base to another 167
Logic, algebra of 241
Means, arithmetical 212
Means, geometrical 213
Monomials, division of 33
Monomials, multiplication of 26
Multiplication of, binomials 29
Multiplication of, complex numbers 77
Multiplication of, fractions 37
Multiplication of, monomials 26
Multiplication of, polynomials 27
Multiplication of, positive and negative numbers 10
Multiplication of, radicals 67
Multiplication of, vectors 254
Multiplication of, vectors, center product 255
Numbers, combining 8
numbers, negative 7
Numbers, positive 7
Parentheses, using and removing 22
Polynomials, division of 34
Polynomials, multiplication of 27
Polynomials, square root of 57
Powers 53
Powers, calculation of, with logarithms 183
probability 230
Probability, meanings of 232
Probability, principles of 231
Progression, arithmetical 209
Progression, geometrical 214
Proportion, continued, mean 205
Proportion, meaning of 201
Proportion, solution of 202
Proportion, transformation of 202
Quadratic equations 118
Quadratic formula 126
Quadratics with complex roots 130
Radicals, addition and subtraction of 69
Radicals, multiplication and division of 67
Radicals, reduction of 68
Ratio and proportion, meaning of 201
Roots 54
Roots, calculation of, with logarithms 186
Roots, cube, properties of 56
Roots, indicated 72
Roots, square, of a polynomial 57
Roots, square, properties of 56
Set identities 242
Sets 241
Signs 12
Slide rule 187
Subtraction of, complex numbers 75
Subtraction of, radicals 69
Subtraction, algebraic 20
Switching algebra 244
Symbols, algebraic 3
Symbols, algebraic, arithmetical operations with 4
Tables, logarithms 296 297
Three-dimensional vectors 256
Unit vector 258
Universal set 241
Variation, meaning of 205
Variation, proportion and 207
Vectors 248
Vectors, addition of 251—252
Vectors, algebra of 252
Vectors, multiplication of 254
Vectors, notation 258
Vectors, three-dimensional 256
Vectors, unit 258
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