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Woods F. S, Bailey F.H. — A course in mathematics. Volume I
Woods F. S, Bailey F.H. — A course in mathematics. Volume I



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Название: A course in mathematics. Volume I

Авторы: Woods F. S, Bailey F.H.

Аннотация:

This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1907

Количество страниц: 397

Добавлена в каталог: 28.10.2012

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Abscissa      36
Acceleration      202
Addition of segments of a straight line      32
Algebraic functions      43 121
Algebraic functions, differentiation of      178
Algebraic functions, implicit      188
Angle between two curves      211
Angle between two lines      57
Angle, eccentric      304
Angle, vectorial      329
angles      55
Arc, derivatives with respect to      197 347
Arc, length of      195
Arc, limit of ratio to chord      195
Archimedes, spiral of      332
Area      204
Area in polar coordinates      348
Area of an ellipse      304
Asymptote      128
Asymptote of an hyperbola      145
Auxiliary circle of ellipse      304
Axes of an ellipse      141
Axes of an hyperbola      145
Axis of a parabola      147
Axis, of symmetry      121
Axis, radical      175
Bisection of a line      39
Cardioid      337
Cassini, ovals of      338
Catenary      281
Center of a conic      238
Change from rectangular to oblique axes without change of origin      224
Change from rectangular to polar coordinates      341
Change of direction of axes without change of origin      221
Change of origin without change of direction of axes      217
Chord of contact      248
circle      134
Circle of curvature      354
Circle with center on known line      137
Circle, involute of      311
Circle, parametric equation of      303
Circle, polar equation of      342
Circle, tangent to a known line      136
Circle, through a known point      136
Circle, through three known points      138
Cissoid      151
Classes of functions      43
Coefficient of an element of a determinant      8
Collinear points      38
complex numbers      31
Complex numbers, roots of an equation      82
Components of velocity      200
Concavity of a curve      112
Conchoid      334
conic      148 229
Conic, classification      237
Conic, polar equation      343
Conic, through five points      241
Conjugate axis of an hyperbola      145
Conjugate complex numbers      32
Conjugate diameters      258
Conjugate hyperbolas      262
Constant      40
Constant of integration      206
Constant, chord of      248
Contact, point of      105
Continuity      101
Cooerdinate axes      35
Cooerdinate axes, change of      217
Coordinates, Cartesian      224
Coordinates, oblique      223
Coordinates, polar      329
Coordinates, rectangular      35
Coordinates, relation between rectangular and polar      341
Coordinates, transformation of      217
Curvature      353
Curvature, center of      356
Curvature, circle of      354
Curvature, radius of      354 300 301
Curve, Cartesian equation of      44
Curve, degree of      166
Curve, parametric equations of      302
Curve, polar equation of      330
Curve, slope of      99
Curves of second degree      229
Curves, intersection of      161
Cycloid      305
Degree of a curve      166
Depressed equation      79
Derivative      102
Derivative of $u^n$      185
Derivative of a polynomial      97 103
Derivative with respect to an arc      196 347
Derivative, higher      111 187
Derivative, illustrations of      203
Derivative, second      110
Derivative, sign of      106 111
Derivative, theorems on      179
Descartes’ Rule of Signs      87
Descartes’ rule of signs, folium of      132
Determinants      1
Determinants, elements of      4
Determinants, expansion of      8
Determinants, minors of      4
Determinants, properties of      6
Diameters, conjugate      258
Diameters, of a conic      252
Diameters, of a parabola      254
Diameters, of an ellipse      256
Diameters, of an hyperbola      257
Differentiation      102
Differentiation of a polynomial      103
Differentiation of algebraic functions      178
Differentiation of implicit functions      188
Differentiation, formulas of, for $u^n$      185
Differentiation, formulas of, for a polynomial      103
Differentiation, formulas of, for exponential functions      284
Differentiation, formulas of, for hyperbolic functions      290
Differentiation, formulas of, for inverse hyperbolic functions      291
Differentiation, formulas of, for inverse trigonometric functions      276
Differentiation, formulas of, for logarithmic functions      284
Differentiation, formulas of, for trigonometric functions      272
Differentiation, formulas of, general      184
Differentiation, successive      187
Direction of a curve      197
Direction of a curve in polar coordinates      345
Directrix of a conic      148
Directrix of a parabola      146
Directrix of an ellipse      149
Directrix of an hyperbola      149
Discontinuity      101
Discontinuity, examples of      41 128 268 282
Discriminant      117
Discriminant of a cubic equation      114 117
Discriminant of a quadratic equation      73 117
Discriminant of the general equation of the second degree      236
Distance between two points      36
Distance of a point from a straight line      63
e, the number      280
Eccentric angle of ellipse      304
Eccentricity of a conic      148
Elasticity      204
Elements of a determinant      4
Eliminants      23
Elimination      1
ellipse      139
Ellipse, parametric representation of      303
Ellipse, referred to conjugate diameters as axes      260
Energy, kinetic      203
Epicycloid      307
Epitrochoid      309
Equation in one variable with given roots      79
Equation in one variable, complex roots of      82
Equation in one variable, depressed      79
Equation in one variable, multiple roots of      116
Equation in one variable, Newton’s method of solution of      114
Equation in one variable, number of roots of      80
Equation in one variable, resultant      161
Equation in one variable, solution by factoring      77
Equation in one variable, solution of      89
Equation in one variable, sum and product of roots of      82
Equation of a curve      44
Equations in several variables, homogeneous      21
Equations in several variables, linear      1
Equations in several variables, systems of      12
Equations in two variables of first degree      52
Equations in two variables of second degree      229
Equations, transcendental      293
Evolute      357
Expansion of a determinant      8
Expansion of a determinant, coefficient of      204
Explicit algebraic function      188
Exponential functions      279
Exponential functions, differentiation of      284
Factoring of quadratic expressions      79
Factoring, solution of equations by      77
Factors and roots of a polynomial      81 83
Factors and roots of an equation      78
Foci of an ellipse      139
Foci of an hyperbola      142
Focus of a conic      148
Focus of a parabola      146
Folium of Descartes      132
force      202
Function      40
Functional notation      44
Functions, algebraic      43 121
Functions, classes of      43
Functions, defined by equations of the second degree      127
Functions, exponential      279
Functions, hyperbolic      288
Functions, inverse hyperbolic      291
Functions, inverse trigonometric      269
Functions, involving fractions      128
Functions, irrational      44 131
Functions, logarithmic      279
Functions, transcendental      44 266
Functions, trigonometric      266
Graph      40
Graphical representation      28
Harmonic division of a line      250
Harmonic motion      275
Harmonic property of polars      249
Homogeneous equations      21
Horner’s method      92
Hyperbola      142
Hyperbola, conjugate      262
Hyperbola, equilateral      146
Hyperbola, referred to asymptotes as axes      224
Hyperbola, referred to conjugate diameters as axes      259
Hyperbolic functions      288
Hyperbolic functions, differentiation of      290 292
Hyperbolic functions, inverse      291
Hyperbolic spiral      332
Hypocycloid      309
Hypocycloid, four-cusped      132
Hypotrochoid      309
imaginary numbers      see "Number Complex"
Implicit algebraic function      188
Increment      100
infinity      29 128
Inflection, points of      112 194
Initial line      329
Integration      205
Intercepts      53
Interchange of axes      223
Intersection of curves      161
Intersection of curves, number of points of      109
Involute      357
Involute of circle      311
Irrational number      28
Irrational number, algebraic functions      44 131
Irrational number, roots of an equation      92 114
Isolated point      120
kinetic energy      203
Latus rectum      211
Lemniscate      340
Limacon      336
Limit of $(1+h)^\frac{1}{h}$ and $\frac{e^h-1}{h}$      283
Limit of $\frac{\sin h}{h}$ and $\frac{1-\cos h}{h}$      270
Limit of ratio of arc to chord      195
Limiting cases of a conic      234
Limits      97
Limits, theorems on      178
Locus      45
Locus problems      316
Logarithm, Napierian      280
Logarithmic function      279
Logarithmic function, differentiation of      284
Logarithmic function, spiral      333
Maxima and minima      108 112 192
Minors of a determinant      4
Momentum      203
Motion, harmonic      275
Motion, uniform      199
Multiple roots of an equation      116
Napierian logarithm      280
Newton’s method of solving numerical equations      114
normal      64 191
Normal equation of straight line      64
Number, complex      31
Number, real      28
Oblique cooerdinates      223
Ordinate      36
Ovals of Cassini      338
parabola      146
Parabola, cubical      74
Parabola, referred to a diameter and a tangent as axes      255
Parabola, referred to tangent at ends of latus rectum      132
Parabola, semi-cubical      131
Parallel lines      56 59
Parametric representation of curves      302
Pedal curves      319
Perpendicular lines      57 59
plotting      36 329
Point of division      38
Polar cooerdinates      329
Polar of a point      247
Polars, reciprocal      251
Pole of a straight line      247
Pole of a system of polar coordinates      329
Polynomial      43
Polynomial of $n\textrm{th}$ degree      74
Polynomial of first degree      50
Polynomial of second degree      70
Polynomial, derivative of      97
Polynomial, factors of      81 83
Polynomial, square root of      121
Problems on straight lines      58
Products, graphs of      83
Projection      34
Radical axis      175
Radius vector      329
Radius vector of curvature      354 360 361
Rate of change      203
Rational algebraic function      43
Rational number      28
Rational roots      89
Reciprocal polars      251
Resultant      23
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