Advanced Engineering Mathematics, Volume 1
The complete text has been divided into two volumes: Volume I (Ch. 1-13) & Volume II (Ch. 14-25). 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. The Volume II, which is in sequel to Volume I, covers topics on complex analysis, Fourier analysis, partial differential equations, statistics, numerical methods and linear programming. The self-contained text 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. The book can be used as a text for Engineering Mathematics Course at various levels. New in this Edition * Numerical Methods in General * Numerical Methods for Differential Equations * Linear Programming
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angle arbitrary constants axis Bessel Bessel equation called centroid co-ordinates coefficients complex number cone Consider convergent corresponding cos2 cosh curve cylinder defined denoted derivative divergence theorem divergent dt dt dx dx dx dy dz dy dx eigenvalues eigenvectors Evaluate Example EXERCISE F H G Find the equation Frobenius method given equation gives Hence homogeneous homogeneous function improper integral initial value problem intersection interval inverse Laplace transform Legendre polynomials lim nĘ line integral linearly independent matrix multiplication obtain orthogonal parabola parameter particular integral perpendicular plane polynomials positive prove quadratic radius of curvature region scalar Show shown in Fig Similarly sin2 sinh Solve sphere x2 Substituting surface symmetrical tangent theorem variables velocity x y z x-axis y-axis zero