Advanced Engineering MathematicsThe text has been divided in two volumes: Volume I (Ch. 1-13) & Volume II (Ch. 14-22). In addition to the review material and some basic topics as discussed in the opening chapter, the main text in Volume I covers topics on infinite series, differential and integral calculus, matrices, vector calculus, ordinary differential equations, special functions and Laplace transforms. Volume II covers topics on complex analysis, Fourier analysis, partial differential equations and statistics. The present book has numerous distinguishing features over the already existing books on the same topic. The chapters have been planned to create interest among the readers to study and apply the mathematical tools. The subject has been presented in a very lucid and precise manner with a wide variety of examples and exercises, which would eventually help the reader for hassle free study. |
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arbitrary constants asymptotes axis Bessel Bessel equation characteristic equation co-ordinates coefficients complex number cone Consider convergent cosh curve cylinder defined derivative differential equation divergence theorem divergent dx dy dy dx eigenvalues eigenvectors Evaluate Example EXERCISE F G H Find the equation Frobenius method function f(x gives Hence homogeneous homogeneous function improper integral initial value problem interval inverse Laplace transform Legendre polynomials line integral linear linearly independent matrix obtain orthogonal parabola parameter plane polynomials positive prove quadratic radius of curvature region scalar Show shown in Fig sinh Solution Solve Substituting surface tangent theorem Un+1 variables vector velocity volume x-axis y-axis zero д д ди ди дх ду