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 458
... curve , or as defined . S C S AB F1ds where A and B are the end points of F , ds where the curve c connecting A and B is Such an integral thus formed , is called a line integral since integration is carried out along the path of the ...
... curve , or as defined . S C S AB F1ds where A and B are the end points of F , ds where the curve c connecting A and B is Such an integral thus formed , is called a line integral since integration is carried out along the path of the ...
Page 467
... curve in the positive ( anticlockwise ) direction . C Positive direction ( anticlockwise ) line integral denoted by 0 xf . Χ C Negative direction ( clockwise ) line in- tegral denoted by - -§ . 0 Χ With a closed curve , the path c ...
... curve in the positive ( anticlockwise ) direction . C Positive direction ( anticlockwise ) line integral denoted by 0 xf . Χ C Negative direction ( clockwise ) line in- tegral denoted by - -§ . 0 Χ With a closed curve , the path c ...
Page 680
... curve c joining A and B be denoted by the position vector r with respect to a fixed origin O. If Q is a neighbouring point on the curve with position vector r + dr , then PQ = dr . The curve c can be divided up into many ( n ) such ...
... curve c joining A and B be denoted by the position vector r with respect to a fixed origin O. If Q is a neighbouring point on the curve with position vector r + dr , then PQ = dr . The curve c can be divided up into many ( n ) such ...
Contents
Theory of Equations Part 2 | 43 |
Partial Differentiation | 91 |
Integral Functions | 145 |
Copyright | |
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a₁ b₁ b₂ c₁ c₂ coefficients cosh cosine curl F curve curvilinear coordinates defined Determine 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 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 δυ бу дг дг ди ди др ду ди ду ду дф дф дх ду дг მა