Advanced Engineering Mathematics, Students Solution Manual

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The book introduces engineers, computer scientists, and physicists to advanced math topics as they relate to practical problems. The material is arranged into seven independent parts: ODE; Linear Algebra, Vector calculus; Fourier Analysis and Partial Differential Equations; Complex Analysis; Numerical methods; Optimization, graphs; Probability and Statistics. Table of Contents Part I Ordinary Differential Equations First-Order Differential Equations Linear Differential Equations of Second and Higher Order Systems of Differential Equations, Phase Plane, Qualitative Methods Series Solutions of Differential Equations. Special Functions Laplace Transforms Part II Linear Algebra, Vector Calculus Linear Algebra: Matrices, Vectors, Determinants. Linear Systems of Equations Linear Algebra: Matrix Eigen value Problems Vector Differential Calculus. Grad, Div, Curl Vector Integral Calculus. Integral Theorems Part III Fourier Analysis And Partial Differential Equations Fourier Series, Integrals, and Transforms Partial Differential Equations Part IV Complex Analysis Complex Numbers and Functions. Conformal Mapping Complex Integration Power Series, Taylor Series Laurent Series, Residue Integration Complex Analysis Applied to Potential Theory Part V Numerical Methods Numerical Methods in General Numerical Methods in Linear Algebra Numerical Methods for Differential Equations Part VI Optimization, Graphs Unconstrained Optimization, Linear Programming Graphs and Combinatorial Optimization Part VII Probability And Statistics Data Analysis Probability Theory Mathematical Statistics Appendices Index