|
|
 |
| Авторизация |
|
|
|
| Поиск по указателям |
|
|
|
|
|
|
|
 |
|
|
|
| Spiegel M.R. — Schaum's mathematical handbook of formulas and tables |
|
|
|
| Предметный указатель |
Parabolas, confocal 126
Parabolic cylindrical coordinates 126
Parabolic cylindrical coordinates, Laplacian in 126
Parabolic formula for definite integrals 95
Paraboloid elliptic 52
Paraboloid elliptic hyperbolic 52
Paraboloid of revolution, volume of 10
Paraboloidal coordinates 127
Paraboloidal coordinates, Laplacian in 127
Parallel, condition for lines to be 35
Parallelepiped, rectangular see “Rectangular parallelepiped”
Parallelepiped, rectangular, volume of 8
Parallelogram law for vector addition 116
Parallelogram, area of 5
Parallelogram, perimeter of 5
Parseval's identity, for Fourier series 131
Parseval's identity, for Fourier transforms 175
Partial derivatives 56
Partial fraction expansions 187
Pascal's triangle 4 236
Pascal, limacon of 41 44
Perpendicular, condition for lines to be 35
Plane analytic geometry, formulas from 34—39
Plane triangle, area of 5 35
Plane triangle, law of cosines for 19
Plane triangle, law of sines for 19
Plane triangle, law of tangents for 19
Plane triangle, perimeter of 5
Plane triangle, radius of circle circumscribing 6
Plane triangle, radius of circle inscribed in 6
Plane triangle, relationships between sides and angles of 19
Plane, equation of see “Equation of plane”
Poisson distribution 189
Poisson summation formula 109
Polar coordinates 22 36
Polar coordinates, transformation from rectangular to 36
Polar form, expressed as an exponential 25
Polar form, multiplication and division in 22
Polar form, of a complex number 22 25
Polar form, operations in 25
Polygon, regular see “Regular polygon”
Power 23
Power series 110
Power series, reversion of 113
Present value, of an amount 241
Present value, of an annuity 243
Principal branch 17
Principal values, for inverse hyperbolic functions 29
Principal values, for inverse trigonometric functions 17 18
Principal values, Products, infinite special 2
Probability distributions 189
Products, infinite 102 188
Prolate cycloid 42
Prolate spheroidal coordinates 128
Prolate spheroidal coordinates, Laplacian in 128
Pulse function 173
Pyramid, volume of 9
Quadrants 11
Quadratic equation, solution of 32
Quartic equation, solution of 33
RADIANS 1 12 199 200
Radians relationship of to degrees 12 199 200
Radians table for conversion of 222
Random numbers, table of 262
Real part of a complex number 21
Reciprocals, table of 238 239
Rectangle, area of 5
Rectangle, perimeter of 5
Rectangular coordinate system 117
Rectangular coordinates, transformation of to polar coordinates 36
Rectangular formula for definite integrals 95
Rectangular parallelepiped, surface area of 8
Rectangular parallelepiped, volume of 8
Rectified sine wave function 172
Rectified sine wave function half 172
Recurrence or recursion formulas 101 137 139 147 149 151 153 156 158 159
Regular polygon, area of 6
Regular polygon, area of circumscribing a circle 7
Regular polygon, area of inscribed in a circle 7
Regular polygon, area of perimeter of 6
Reversion of power series 113
Riemann zeta function 184
Right circular cone, frustrum of see “Frustrum of right circular cone”
Right circular cone, lateral surface area of 9
Right circular cone, volume of 9
Right-handed system 118
Rodrigue's formulas 146 151 153
Roots, of complex numbers 22 25
Roots, of complex numbers table of square and cube 238 239
Rose, three- and four-leaved 41
Rotation of coordinates, in a plane 36
Rotation of coordinates, in space 49
Saw tooth wave function 172
Scalar or dot product 117 118
Scalars 116
Scale factors 124
Schwarz inequality see “Cauchy-Schwarz inequality”
Sector of circle, arc length of 6
Sector of circle, area of 6
Segment of circle, area of 7
Segment of parabola, arc length of 7
Segment of parabola, area of 7
Separation of variables 104
Series arithmetic orthogonal see “Orthogonality and orthogonal series”
Series arithmetic power 110 113
Series arithmetic Taylor see “Taylor series”
Series arithmetic, arithmetic-geometric 107
Series arithmetic, binomial 2 110
Series arithmetic, Fourier see “Fourier series”
Series arithmetic, geometric 107
Series arithmetic, of powers of positive integers 107 108
Series arithmetic, of reciprocals of powers of positive integers 108 109
Series, arithmetic 107
| Simple closed curve 123
Simpson's formula for definite integrals 95
Sine integral 183
Sine integral Fresnel 184
Sine integral table of values for 251
Sines, law of for plane triangle 19
Sines, law of for spherical triangle 19
Slope of line 34
Solid analytic geometry, formulas from 46—52
Solutions of algebraic equations 32 33
Sphere, equation of 50
Sphere, surface area of 8
Sphere, triangle on see “Spherical triangle”
Sphere, volume of 8
Spherical cap, surface area of 9
Spherical cap, volume of 9
Spherical coordinates 50 126
Spherical coordinates Laplacian in 126
Spherical triangle, area of 10
Spherical triangle, Napier's rules for right angled 20
Spherical triangle, relationships between sides and angles of 19 20
Spiral of Archimedes 45
Square roots, table of 238 239
Square wave function 172
Squares, table of 238 239
Step function 173
Stirling's asymptotic series 102
Stirling's asymptotic series formula 102
Stoke's theorem 123
Student's t distribution 189
Student's t distribution percentile values for 258
Summation formula, Euler — Maclaurin 109
Summation formula, Euler — Maclaurin, Poisson 109
Sums see “Series”
Surface integrals 122
Surface integrals, relation of to double integral 123
Tangent vectors to curves 124
Tangents, law of for plane triangle 19
Tangents, law of for spherical triangle 20
Taylor series 110—113
Taylor series, for functions of one variable 110
Taylor series, for functions of two variables 113
Terminal point of a vector 116
Toroidal coordinates 129
Toroidal coordinates, Laplacian in 129
Torus, surface area of 10
Torus, volume of 10
Tractrix 43
Transformation, Jacobian of 125
Transformation, Jacobian of, of coordinates 36 48 49 124
Transformation, Jacobian of, of integrals 59 60 125
Translation of coordinates, in a plane 36
Translation of coordinates, in space 49
Trapezoid, area of 5
Trapezoid, perimeter of 5
Trapezoidal formula for definite integrals 95
Triangle inequality 185
Triangle, plane see “Plane triangle”
Triangular wave function 172
Trigonometric functions 11—20
Trigonometric functions, addition formulas for 15
Trigonometric functions, definition of 11
Trigonometric functions, double angle formulas for 16
Trigonometric functions, exact values of for various angles 13
Trigonometric functions, for various quadrants in terms of quadrant I 15
Trigonometric functions, general formulas involving 17
Trigonometric functions, graphs of 14
Trigonometric functions, half angle formulas 16
Trigonometric functions, inverse see “Inverse trigonometric functions”
Trigonometric functions, multiple angle formulas for 16
Trigonometric functions, of negative angles 14
Trigonometric functions, powers of 16
Trigonometric functions, relationship of to exponential functions 24
Trigonometric functions, relationship of to hyperbolic functions 31
Trigonometric functions, relationships among 12 15
Trigonometric functions, sample problems involving 197—199
Trigonometric functions, series for 111
Trigonometric functions, signs and variations of 12
Trigonometric functions, sum, difference and product of 17
Trigonometric functions, table of in degrees and minutes 206—211
Trigonometric functions, table of in radians 212—215
Trigonometric functions, table of logarithms of 216—221
Triple integrals 122
Trochoid 42
Unit function, Heaviside's 173
Unit normal to a surface 122
Unit vectors 117
Vector algebra, laws of 117
Vector analysis, formulas from 116—130
Vector or cross product 118
Vectors 116
Vectors complex numbers as 22
Vectors components of 117
Vectors equality of 117
Vectors fundamental definitions involving 116 117
Vectors multiplication of by scalars 117
Vectors notation for 116
Vectors null 116
Vectors parallelogram law for 116
Vectors sums of 116 117
Vectors tangent 124
Vectors unit 117
Vectors, addition of 116 117
Volume integrals 122
Wallis' product 188
Weber's function 136
Witch of Agnesi 43
x axis 11
x intercept 34
y axis 11
y intercept 34
Zero vector 116
Zeros of Bessel functions 250
Zeta function of Riemann 184
|
|
|
| Реклама |
|
|
|
|
|
О проекте