Wednesday, October 27, 2010

Advanced Engineering Mathematics Textbook Free Download

Posted by Anonymous at 12:02 PM

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Advanced Engineering Mathematics Textbook Free Download

Main Contents:

  • Differential equations
  •  Non-homogeneous linear differential equations of second and higher order
  • Curve tracing – Cartesian - Polar and Parametric curves.
  • Applications of Integration to Lengths, Volumes and Surface areas of revolution in Cartesian and Polar Coordinates.
  • Multiple integrals - double and triple integrals – change of variables – Change of order of Integration
  • Vector Differentiation: Gradient- Divergence- Curl and their related properties of sums-products- Laplacian and second order operators.
  • Inverse Laplace transforms– Convolution theorem - Application of Laplace transforms to ordinary differential equations Partial fractions.
  • Laplace transforms of standard functions –Shifting Theorems, Transforms of derivatives and integrals – Unit step function –Dirac’s delta function.
  • Fourier Series: Determination of Fourier coefficients – Fourier series – even and odd functions – Fourier series in an arbitrary interval– Half-range sine and cosine series.
  • Method of Separation of Variables - Applications to wave equation, heat equation and Laplace Equation.
  • Z-transform – properties – Damping rule – Shifting rule – Initial and final value theorems -Inverse z-transform -Convolution theorem – Solution of difference equation by z-transforms.
  • Gamma and Beta Functions – Properties – Evaluation of improper integrals.
  • Eigen values - Eigen vectors – Properties – Cayley-Hamilton Theorem - Inverse and powers of a matrix by using Cayley-Hamilton theorem.
  • Numerical Differentiation and Integration
  • Curve fitting: Fitting a straight line –Second degree curve-exponential curve-power curve by method of least squares.

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