Further Engineering Mathematics: Programmes and ProblemsThe purpose of this book is essentially to provide a sound second year course in mathematics appropriate to studies leading to BSc Engineering degrees. It is a companion volume to "Engineering Mathematics" which is for the first year. An ELBS edition is available. |
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Page 345
Programmes and Problems K. A. Stroud. 0 since s is positive and large enough to ensure that est decays faster than any possible growth of F ( t ) . .. L { F ' ( t ) } = − F ( 0 ) + sL { F ( t ) } Replacing F ( t ) by F ' ( t ) gives L ...
Programmes and Problems K. A. Stroud. 0 since s is positive and large enough to ensure that est decays faster than any possible growth of F ( t ) . .. L { F ' ( t ) } = − F ( 0 ) + sL { F ( t ) } Replacing F ( t ) by F ' ( t ) gives L ...
Page 738
... F ( r ) : S. F ( r ) .dr 2. Volume integrals F ( r ) = F ̧i + F‚j + F2k dr = idx + jdy + k dz F.dr = F , dx + F , dy + F , dz F is a vector field ; V a closed region with boundary surface S. X2 S FdV = -CISIS : F dz dy dx Уг 3. Surface ...
... F ( r ) : S. F ( r ) .dr 2. Volume integrals F ( r ) = F ̧i + F‚j + F2k dr = idx + jdy + k dz F.dr = F , dx + F , dy + F , dz F is a vector field ; V a closed region with boundary surface S. X2 S FdV = -CISIS : F dz dy dx Уг 3. Surface ...
Page 919
... f ( x ) contains cosine terms only . Included in this is a 。 which may be regarded as a , cos nx with n = 0 . Proof Since f ( x ) is even , ( a ) a 。= 1 - π S f ( x ) dx S = 2 π [ S f ( x ) dx = f ( x ) dx So f ( x ) dx 2 π S f ( x ) ...
... f ( x ) contains cosine terms only . Included in this is a 。 which may be regarded as a , cos nx with n = 0 . Proof Since f ( x ) is even , ( a ) a 。= 1 - π S f ( x ) dx S = 2 π [ S f ( x ) dx = f ( x ) dx So f ( x ) dx 2 π S f ( x ) ...
Contents
coefficients and roots | 33 |
Theory of Equations Part 2 | 43 |
Partial Differentiation | 91 |
Copyright | |
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a₁ b₁ b₂ c₁ c₂ coefficients cos² cosh cosine curl F curve curvilinear coordinates defined dx dy dx² dy dx Evaluate exact differential Example expression F.dr Fourier series frame function f(x function values gives grad graph Green's theorem harmonic i+ j+ inverse transforms k₁ k₂ Laplace transform line integral matrix method nx dx obtain odd function parametric equations partial fractions Pdx Qdy periodic function plane polar coordinates programme region Revision Summary roots scalar sin nx sin² sinh solution Solve the equation stationary values substitute surface Test Exercise theorem U₁ variables vector field w-plane x₁ xy-plane Y₁ zero δε δι δυ аф бу дг ду ди ду ду дх ду дхду Оф მა