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MacNeil D.B. — Modern Mathematics for the Practical Man
MacNeil D.B. — Modern Mathematics for the Practical Man

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Название: Modern Mathematics for the Practical Man

Автор: MacNeil D.B.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1963

Количество страниц: 310

Добавлена в каталог: 11.05.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Acceptance sampling      124
Average      119
Binomial distribution      102
Cartesian products      9
Combinatorial mathematics, game theory      208 ff.
Combinatorial mathematics, integer programming      202
Combinatorial mathematics, linear programming      208
Combinatorial mathematics, network flow problems      213
Combinatorial mathematics, network flow problems, trees and loops      222
complex numbers      18
Complex numbers, absolute value of      22
Complex numbers, addition of      18
Complex numbers, division of      20
Complex numbers, multiplication of      20
Complex numbers, representation of      23
Complex numbers, subtraction of      18
Coordinate systems, axes, rotation of      248
Coordinate systems, axes, translation of      242
Coordinate systems, bipolar      240
Coordinate systems, bipolar and hyperbolic functions      237
Coordinate systems, Cartesian      226
Coordinate systems, cylindrical      232
Coordinate systems, cylindrical and polar coordinate system      236
Coordinate systems, spherical polar      229
Coordinate systems, spherical polar and polar coordinate system      236
Crystal structure      30
de Morgans Laws      7
Degeneracy      188
Determinants      47 (see also “Matrices”)
Determinants, fourth order      32
Determinants, in solution of simultaneous linear equations      59
Determinants, minors      56
Determinants, of $2 \times 2$ and $3 \times 3$ matrices      49
Determinants, permutations      47
Difference tables      273
Equations, algebraic, numerical solution of      279
Equations, consistency of      64
Euler — Maclaurin formula      291
games of chance      92
Games, theory of, $2 \times n$ games      143
Games, theory of, $3 \times 3$ games      149
Games, theory of, and linear programming      208
Games, theory of, mixed strategies      137
Games, theory of, saddle points      134
Games, theory of, two-person, zero-sum      131
Games, theory of, two-person, zero-sum, grand strategy      132
Games, theory of, two-person, zero-sum, pure strategy      132
Geometric mean      167
Gregory’s formula      293
Groups, definition of      26 (see also “Sets” “Numbers” and Theory
Harmonic mean      167
Heaviside operational calculus      267
Hypergeometric distribution      103
Inequalities and linear programming      172
Inequalities and linear programming, and integer programming      202
Inequalities and linear programming, Simplex method      190
Inequalities and linear programming, Simplex method, dual      196
Inequalities and linear programming, transportation problem      176
Inequalities and linear programming, transportation problem, modification of      186
Inequalities of averages      167
Inequalities of averages, geometric mean      167
Inequalities of averages, harmonic mean      167
Inequalities, fundamentals of, axioms      162
Inequalities, fundamentals of, axioms, operations      163
Inequalities, fundamentals of, axioms, operations, addition      164
Inequalities, fundamentals of, axioms, operations, division      166
Inequalities, fundamentals of, axioms, operations, exponents      166
Inequalities, fundamentals of, axioms, operations, multiplication      165
Inequalities, fundamentals of, axioms, operations, subtraction      164
Inequalities, fundamentals of, axioms, operations, transitivity      164
Inequalities, fundamentals of, axioms, symbols      162
Inequalities, Schwarz      168
Inequalities, systems of      169
Inequalities, transportation problems      176—186
Inequalities, transportation problems, degeneracy      188
Integral numbers      16
intersections      4
Laplace transform, and Heaviside operational calculus      267
Laplace transform, applications of      262
Laplace transform, evaluation of      255
Laplace transform, general considerations      254
Laplace transform, inverse      260
Laplace transform, properties of      257
Least squares method      297
Linear programming      172
Linear programming, and game theory      208
Linear programming, and integer programming      202
Linear programming, fundamentals      172
Linear programming, simplex method      190
Linear programming, Simplex method, dual      196
Linear programming, transportation problem      176
Linear programming, transportation problem, modification of      186
Markov processes      96
Matrices      see also “Determinants”
Matrices, addition      39
Matrices, and consistency of equations      64
Matrices, and vectors      69
Matrices, application of      46 69
Matrices, characteristic equations of      68
Matrices, characteristic equations of, root of      69
Matrices, diagonal      76
Matrices, inversion of      77
Matrices, multiplication of, by matrices      42
Matrices, non-singular      76
Matrices, properties of      50
Matrices, rank of      64
Matrices, scalar multiplication      41
Matrices, singular      76
Matrices, transpose of      78
Matrices, unit      76
Median      119
MODE      119
Molecular structure      30
Natural numbers, operations with      15
Network flow      213
Normal distribution      109
Number sets      13
Numbers      see “Sets” “Numbers” and Theory
Numerical analysis, difference tables      273
Numerical analysis, difference tables, used for interpolation      274
Numerical analysis, least squares method      297
Numerical analysis, nature of      271
Numerical analysis, numerical differentiation      294
Numerical analysis, numerical integration      287
Numerical analysis, numerical integration, Euler — Maclaurin formula      291
Numerical analysis, numerical integration, Gregory’s formula      293
Numerical analysis, numerical integration, Simpson’s parabolic rule      288
Numerical analysis, numerical integration, trapezoidal rule      287
Numerical analysis, numerical integration, Weddle’s rule      289
Numerical differentiation      294
Ordered sets      10
Peano axioms      15
poisson      104
Poisson distribution      104
probability      see also “Statistics”
Probability, distributions      102
Probability, distributions, binomial      102
Probability, distributions, hypergeometric      103
Probability, distributions, normal      109
Probability, fundamental concepts      83
Probability, fundamental concepts, Venn diagrams      89
Probability, games of chance      92
Probability, introduction      83
Probability, Markov processes      96
Probability, random variables      97
Probability, random walk processes      43
Probability, statistical definitions      100
Probability, statistical definitions, notations      100
Probability, stochastic processes      96
Programming, integer      202
Programming, linear      172
Programming, linear, dual      196
Programming, linear, simplex method      190
Quality control      120
Random numbers      115
Random variables      97
Random walk processes      43
Rational numbers      16
Real numbers      17
Saddle points      134
Schwarz inequality      168
Sets of sets      4
Sets, Numbers, and Groups, Theory of, absolute complement      8
Sets, Numbers, and Groups, Theory of, Cartesian products      9
Sets, Numbers, and Groups, Theory of, complement      7
Sets, Numbers, and Groups, Theory of, complement, absolute      8
Sets, Numbers, and Groups, Theory of, complex numbers      18
Sets, Numbers, and Groups, Theory of, complex numbers, absolute value of      22
Sets, Numbers, and Groups, Theory of, complex numbers, addition of      18
Sets, Numbers, and Groups, Theory of, complex numbers, division of      20
Sets, Numbers, and Groups, Theory of, complex numbers, multiplication of      20
Sets, Numbers, and Groups, Theory of, complex numbers, representation of      23
Sets, Numbers, and Groups, Theory of, complex numbers, subtraction of      18
Sets, Numbers, and Groups, Theory of, de Morgan’s Laws      7
Sets, Numbers, and Groups, Theory of, domain      10
Sets, Numbers, and Groups, Theory of, equality      2
Sets, Numbers, and Groups, Theory of, function      10 11
Sets, Numbers, and Groups, Theory of, groups, definition of      26
Sets, Numbers, and Groups, Theory of, integral numbers      16
Sets, Numbers, and Groups, Theory of, natural numbers, operations with      15
Sets, Numbers, and Groups, Theory of, negatives      4
Sets, Numbers, and Groups, Theory of, number sets      13
Sets, Numbers, and Groups, Theory of, number sets, Peano axioms      15
Sets, Numbers, and Groups, Theory of, ordered parts      9
Sets, Numbers, and Groups, Theory of, ordered sets      10
Sets, Numbers, and Groups, Theory of, permutation groups, crystal and molecular structure      30
Sets, Numbers, and Groups, Theory of, permutation groups, symmetry point groups, table of      35
Sets, Numbers, and Groups, Theory of, powers      9
Sets, Numbers, and Groups, Theory of, range      10
Sets, Numbers, and Groups, Theory of, rational numbers      16
Sets, Numbers, and Groups, Theory of, real numbers      17
Sets, Numbers, and Groups, Theory of, set membership      1
Sets, Numbers, and Groups, Theory of, sets of sets      4
Sets, Numbers, and Groups, Theory of, sets, subsets, and inclusion      3
Sets, Numbers, and Groups, Theory of, transcendental numbers      24
Sets, Numbers, and Groups, Theory of, transfinite numbers      25
Sets, Numbers, and Groups, Theory of, trigonometric and logarithmic numbers      20
Sets, Numbers, and Groups, Theory of, unions and intersections      4 6
Sets, Numbers, and Groups, Theory of, unions and intersections, Venn diagrams      4
Sets, subsets, and inclusions      3
Simplex method      190
Simplex method, dual      196
Simpson’s parabolic rule      288
Simultaneous linear equations      59
skewness      120
Standard deviation      120
Statistics      see also “Probability”
Statistics, definitions      100
Statistics, fundamental concepts      114
Statistics, fundamental concepts, average      119
Statistics, fundamental concepts, median      119
Statistics, fundamental concepts, mode      119
Statistics, fundamental concepts, skewness      120
Statistics, fundamental concepts, standard deviation      120
Statistics, notations      100
Statistics, quality control      120
Statistics, quality control, acceptance sampling      124
Statistics, random numbers      115
Stochastic processes      96
Strategy, grand      132
Strategy, mixed      137
Strategy, pure      132
Transcendental numbers      24
Transfinite numbers      25
Transformations and Transforms, axes, coordinate, rotation of      248
Transformations and Transforms, axes, coordinate, translation of      242
Transformations and Transforms, bipolar coordinates      240
Transformations and Transforms, bipolar coordinates and hyperbolic functions      237
Transformations and Transforms, Cartesian coordinates      226
Transformations and Transforms, coordinate systems      226
Transformations and Transforms, cylindrical coordinates      232
Transformations and Transforms, cylindrical coordinates and polar coordinate system      236
Transformations and Transforms, Laplace and Heaviside operational calculus      267
Transformations and Transforms, Laplace, applications of      262
Transformations and Transforms, Laplace, evaluation of      255
Transformations and Transforms, Laplace, general considerations      254
Transformations and Transforms, Laplace, inverse      260
Transformations and Transforms, Laplace, properties of      257
Transformations and Transforms, spherical polar coordinates      229
Transformations and Transforms, spherical polar coordinates and polar coordinate system      236
transforms      see also “Transformations”
Transforms, Laplace and Heaviside operational calculus      267
Transforms, Laplace, applications of      262
Transforms, Laplace, evaluation of      255
Transforms, Laplace, general considerations      254
Transforms, Laplace, inverse      260
Transforms, Laplace, properties of      257
Transportation problem      176 (see also “Inequalities”)
Trapezoidal rule      287
Unions and intersections      4
Venn diagrams      4 89
Weddle’s rule      289
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