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Lectures on Elementary Mathematics
Lectures on Elementary Mathematics

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Название: Lectures on Elementary Mathematics

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1989

Количество страниц: 175

Добавлена в каталог: 04.07.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Academies, rise of      62 63
Ahmes      151
Algebra among the Arabs      59 152
Algebra in Europe      60
Algebra in India      152
Algebra in Italy      64
Algebra, application of geometry to      100 127
Algebra, definition of      2
Algebra, essence of      55
Algebra, hand-writing of      69
Algebra, history of      54 151
Algebra, the generality of      69
Algebra, the name of      59
Algebraical resolution of equations, limits of the      96
Alligation, alternate      47
Alligation, generally      44
Analysis, indeterminate      47 55
Angle, trisection of an      62 81
Angular sections, theory of      80
annuities      16
Apollonius      54 59
Arabs, Algebra among the      59 152
Archimedes      54 58 151
Arithmetic, operations of      24
Arithmetic, universal      2
Arithmetical progression revealing the roots      112 120
Arithmetical proportion      12
Astronomy, mechanics, and physics, curves of errors in      136
Average life      45
Bachet de Meziriac      58
Ball      152
Binomial theorem      115
Binomials, extraction of the square roots of two imaginary      77
Biquadratic Equations      63 88 94 133
Bombelli      63 64
Bret, M.      93
Briggs      20
Buteo      61
Cantor      54 60 152
Cardan      60 61 68 82 90
Checks on multiplication and division      39
circle      144
Circle and inscribed polygon, problem of the      138
Circle, squaring of the      62
Clairaut      69 90
Coefficients, greatest negative      107 117
Coefficients, indeterminate      89
Common divisor of two equations      121
Complements, subtraction by      26
Constantinople      58
Continued fractions, solution of alligation by      50
Convergents      7
Cube roots of a quantity, the three      70
Cube, duplication of the      62
Cubic radicals      75
Curves, advantages of the method of      135 144
Curves, employment of in the solution of problems      127—149
Curves, method of, submitted to analysis      143
Curves, representation of equations by      101
de Meziriac, Bachet      58
Decimal fractions      9
decimal numbers      27
Decimals, division of      31
Decimals, multiplication of      30
DeMorgan      5
Descartes      viii 8 60 65 89 93 127
Differences, the equation of      114 123
Differential calculus      131
Diophantine problems      55
Diophantus      54 151
Division of decimals      31
Division, by eight      34
Division, by nine      34
Division, by seven      34
Divisor, greatest common      2
Duebring, E.      5
Duehring, E.      v
Duodecimal system      32
Ecole Normale      v xi 5 11 12
Economy of thought      vii
Efflux, law of      42
Eleven, the number, test of divisibility by      37
Elimination, general formulae for      122
Elimination, method of      121
Equations of an even degree, roots of      106
Equations of an odd degree, roots of      105
Equations of the fifth degree      64 96
Equations of the fourth degree      63 87 133
Equations of the mth degree      96
Equations of the second degree      56
Equations of the third degree      60 66 80
Equations, a machine for solving      126
Equations, biquadratic      88
Equations, common divisor of two      121
Equations, constructions for solving      100 124
Equations, general remarks upon the roots of      102
Equations, graphic resolution of      102
Equations, limits of the algebraical resolution of      96
Equations, real roots of, limits of the      107
Equations, theory of      65 84
Equi-different numbers      13
Errors, curve of      136
Euclid      2 57
Euler      viii x 93
Europe, algebra in      60
Evolution      11 40
Experiments, an expedient for supplying lacunae in a series of      148
Experiments, average of      46
Falling stone, spaces traversed by a      42
False, rule of      137
Fermat      58
Ferrari, Louis      64
Ferreus, Scipio      60
Fifth degree, equations of the      96
Fink      152
Fourth degree, equations of the      133
Fractional expressions in equations      134
Fractions      2
Fractions, continued      3
Fractions, converging      6
Fractions, decimal      9
Fractions, origin of continued      10
France      58 61
Galieo      ix
Geometers, ancient      54 58 59
Geometrical, calculus      24
Geometrical, proportion      13
Geometry      24 60
Geometry, application of to algebra      100 127
Germany      61
Girard, Albert      62
Grain of different prices      44
Greeks, mathematics of the      vii 54 151
Hand-writing of algebra      69
Harriot      65
Hero      59 151
Horses      43
Hudde      65 82
Huygens      9 10
Hypsicles      151
Imaginary binomials, square roots of      77
Imaginary expressions      79 83
Imaginary quantities, office of the      87
Imaginary roots, occur in pairs      99
Inderminate analysis      47 55
Inderminate coefficients      89
Inderminates, the method of      83
Ingredients      48
Interest      15
Intersections, with the axis give roots      102 113
Inventors, great      22
Involution and evolution      11
Irreducible case      61 65 69 73 82
Italy, cradle of algebra in Europe      61 64
Laborers, work of      41
Lagrange, J.L.      v vii
Laplace      v xi
Lavoisier      xii
Leibnitz      viii
Life insurance      45
Life, probability of      46
Light, law of the intensity of      129
Lights, problem of the two      129
Limits of roots      107—120
Logarithms      16 40
Logarithms, advantages in calculating by      28
Logarithms, origin of      19
Logarithms, tables of      20
Machine for solving equations      124—126
Mathematics, evolution of      vii
Mathematics, exactness of      43
Mathematics, wings of      24
Mean values      45
Mechanics, astronomy, and physics, curves of errors in      136
Metals, mingling of, by fusion      44
Minimal values      132
Mixtures, rule of      44 49
Monge      v xi
Mortality, tables of      45
Moving bodies, two      98
Multiple roots      105
Multiplication of decimals      30
Multiplication, abridged methods of      26
Multiplication, approximate      29
Multiplication, inverted      28
MUSIC      22
Napier      17
Napoleon      xii
Negative roots      60
Newton, his problem      viii 145
Nine, property of the number      31
Nine, property of the number generalised      33
Nizze      58
Numeration, systems of      1
Numerical equations, conditions of the resolution of      97
Numerical equations, position of the roots of      98 see
Numerical equations, resolution of      96—126
Observations, expedient for supplying lacunae in series of      148
Observer, problem of the, and three objects      140
Oughtred      30
Paciolus, Lucas      59 60
Pappus      59
Parabolic curves      144
Peletier      61
Peyrard      58
Physics, astronomy, and mechanics, curves of errors in      136
Planetarium      9
Point in space, position of a      139
Polygon, problem of the circle and inscribed      138
Polytechnic School      v xi
Positive roots, superior and inferior limits of the      109
Powers      10
Practice, theory and      43
Present value      15
Printing, invention of      59
Probabilities, calculus of      45
Problems      110
Problems for solution      62
Problems, employment of curves in the solution of      127—149
Proclus      59
Progressions, theory of      12 14
Proportion      11
Ptolemy      59
Radical expressions in equations      134
Radicals, cubic      75
Ratios, constant      2 11 42
Reality of roots      76 83 85 93
Regulafalsi      137 148
Remainders, negative      35
Remainders, theory of      34 38
Romans, mathematics of the      54
Roots of a biquadratic equation      94
Roots of equations of the third degree      71
Roots, limits of the positive and negative      119
Roots, method for finding the limits of      110
Roots, multiple      105
Roots, negative      60
Roots, quantity less than the difference between any two      113
Roots, separation of the      112
Roots, smallest      116
Roots, superior and inferior limits of the positive      109
Roots, the arithmetical progression revealing the      112 120
Roots, the reality of the      74 76 79 83 85 93
Rule of false      137
Rule of mixtures      44
rule of three      11 40
Rule, Cardan's      68
Science, development of      vii
Science, history of      22
Seven, tests of divisibility by      35
Signs + and -      57
Squaring of the circle      62
Stenophrenic symbols      7
Straight line      144
Substitutions      111 123
Subtraction, new method of      25
Sum and difference, of two numbers      56
Supposition, rule of      137 148
symbols      vii
Tables      137
Tables, expedient for supplying lacunae in      148
Tannery, M. Paul      58 151
Tartaglla      60 61
Temperament, theory of      23
Theon      59
Theory and practice      43
Theory of remainders, utility of the      38
Third degree, equations of the      71 82
Three roots, reality of the      93
Trial and error, rule of      137 148
Trisection of an angle      62 81
Turks      58
Undertemined quantities      82
Unity, three cubic roots of      72
Unknown quantity      55
Values, mean      45
Values, minimal      132
Variations, calculus of      x
Vatican library      58
Vieta      viii 62 65
Vlacq      20
Wallis      viii
Wertheim, G.      58
Woodhouse      x
Xylander      58
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