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Barry Steven, Davis Stephen — Essential Mathematical Skills: For Students of Engineering, Science and Applied Mathematics
Barry Steven, Davis Stephen — Essential Mathematical Skills: For Students of Engineering, Science and Applied Mathematics



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Название: Essential Mathematical Skills: For Students of Engineering, Science and Applied Mathematics

Авторы: Barry Steven, Davis Stephen

Язык: en

Рубрика: Математика/Школьный уровень/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2002

Количество страниц: 160

Добавлена в каталог: 05.05.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Absolute value      3
Algebra      1
angle      35
Antiderivative      51
Approximations      87
Area, integration      55
Area, numerical      115
Asymptotics      87
Augmented matrix      70
Binomial expansion      5
Calculus, differentiation      41
Calculus, fundamental theorem      53
Calculus, integration      51
Cartesian unit vectors      80
Central difference      116
Chain rule      45
Characteristic equation, differential equations      100
Characteristic equation, eigenvalues      73
circle      27
Cofactors matrix      64 68
Combinations      13
Complex number      91
Complex number, conjugate      92
Complex number, De Moivre's theorem      94
Complex number, Euler's equation      93
Complex number, imaginary      92
Complex number, polar form      93
Complex number, real      92
conjugate      92
cosh      38
Cosh, derivative      43
Cosh, integral      52
Cosine      14 26
Cosine, derivative      43
Cosine, integral      52
Cross product      82
Curl      108
De Moivre's theorem      94
Definite integral      53
Denominator      2
Denominator, surd      10
Derivative      41
Determinant      63
Diagonal matrix      74
Differential equations      97
Differential equations, characteristic equation      100
Differential equations, first order      97
Differential equations, homogeneous      100
Differential equations, inhomogeneous      102
Differential equations, integrable      97
Differential equations, integrating factor      99
Differential equations, numerical      118
Differential equations, particular solution      102
Differential equations, resonance      104
Differential equations, second order      100
Differential equations, separable      98
Differential equations, undetermined coefficients      103
Differentiation      41
Differentiation, Chain rule      45
Differentiation, double      47
Differentiation, first principles      41
Differentiation, implicit      46
Differentiation, linearity      42
Differentiation, maxima      48
Differentiation, Numerical      116
Differentiation, parametric      47
Differentiation, partial      107
Differentiation, product rule      43
Differentiation, quotient rule      44
Differentiation, second      47
Divergence      108
Domain      18
Dot product      80
Double derivative      47
Double integrals      111
Eigenvalues      73
Eigenvectors      73
ellipse      28
Equilateral triangle      15
Euler's equation      93
Even Fourier series      120
Even function      20
expansion      4
Expansion, binomial      5
Exponential      31
Exponential derivative      43
Exponential function      25
Exponential integral      52
Exponential, general      31
Factorial      12
Factorising      4
Factorising polynomial      6
first order differential equations      97
First principles      41
Forward difference      116
Fourier series      119
Fourier series, even      120
Fourier series, odd      121
Fractions      2
Fractions, partial      6
Function      17
Function, circle      27
Function, cosine      26
Function, domain      18
Function, ellipse      28
Function, even      20
Function, exponential      25 31
Function, hyperbola      24
Function, hyperbolic      38
Function, inverse      19
Function, line      21
Function, logarithm      25 31
Function, odd      20
Function, parabola      22
Function, polynomial      23
Function, properties      18
Function, quadratic      22
Function, range      18
Function, shifting      20
Function, sine      26
Function, tangent      26
Function, trigonometric      35
Function, zeros      19
Fundamental theorem of calculus      53
Gaussian elimination      70
Gradient      108
graphs      17
homogeneous differential equations      100
Hyperbola      24
Hyperbolic functions      38
Hypotenuse      14
Identity matrix      61
Imaginary complex number      92
Implicit differentiation      46
Index laws      32
Inequalities      3
Inflection points      48
inhomogeneous differential equations      102
Integrable differential equations      97
Integrating factor      99
Integration      51
Integration area      55
Integration by parts      57
Integration linearity      52
Integration substitution      56
Integration, definite      53
Integration, double      111
Integration, numerical      115
Inverse cofactors matrix      68
Inverse function      19
Inverse matrix      65
Isosceles triangle      15
l'Hopital's rule      88
Length, vector      79
LIMIT      87
Line      21
Linearity, differentiation      42
Linearity, integration      52
Logarithm      33
Logarithm, derivative      43
Logarithm, function      25
Logarithm, general      31
Logarithm, integral      58
Logarithm, natural      33
Maclaurin series      88
Matrix      59
Matrix, addition      59
Matrix, augmented      70
Matrix, characteristic equation      73
Matrix, cofactors      64 68
Matrix, determinant      63
Matrix, diagonal      74
Matrix, eigenvalues      73
Matrix, eigenvectors      73
Matrix, identity      61
Matrix, inverse      65 68
Matrix, manipulation      68
Matrix, multiplication      60
Matrix, partitioned      66
Matrix, row operations      66
Matrix, symmetric      74
Matrix, systems of equations      70
Matrix, trace      74
Matrix, transpose      62
Maxima      48
Minima      48
Modulus      3 4
Multivariable calculus      107
Natural logarithm      33
Newton's method      117
Notation      1
Numerator      2
Numerical methods      115
Numerical methods, area      115
Numerical methods, central difference      116
Numerical methods, differential equations      118
Numerical methods, differentiation      116
Numerical methods, finding zeros      117
Numerical methods, integration      115
Numerical methods, Newton's method      117
Odd Fourier series      121
Odd function      20
parabola      22
Parameterised curves      47
Parametric circle      27
Parametric differentiation      47
Parametric ellipse      28
Partial differentiation      107
Partial fractions      6
Particular solution      102
Partitioned matrix      66
Pascal's triangle      5
permutations      13
Polar form      93
Polynomial division      9
Polynomial factorising      6
Polynomial function      23
Product rule      43
Pythagoras' theorem      14
Quadratic      11 22
Quadratic equation      11
Quotient rule      44
RANGE      18
Rationalised surd      10
Real complex number      92
Real numbers      1
Reciprocal trigonometric functions      36
Resonance      104
Right angled triangles      14
Roots, quadratic      11
Row operations      66
Second derivative      47
Second order differential equations      100
Separable differential equation      98
simplification      4
Sine      14 26
Sine, derivative      43
Sine, integral      52
sinh      38
Sinh, derivative      43
Sinh, integral      52
slope      41
Stationary points      48
Substitution, integration      56
Summation      12
Surd      10
Symmetric matrix      74
Systems of equations      70
Tangent      14 26 41
Taylor series      88
Trace      74
Transcendental functions      31
TRANSPOSE      62
Triangle, equilateral      15
Triangle, isosceles      15
Triangle, right angled      14 15
Trigonometric functions      35
Trigonometric identities      36
Trigonometric reciprocal      36
Undetermined coefficients      103
Unit circle      35
Unit vector      80
Vector      77
Vector addition      78
Vector Angle      81
Vector cross product      82
Vector curl      108
Vector divergence      108
Vector dot product      80
Vector gradient      108
Vector length      79
Vector multiplication      78
Vector, Cartesian      80
zeros      19
Zeros, quadratic      11
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