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he 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... More: 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 Market Description : · Engineers · Students · Professors in Engineering Math
ISBN : 9788126511334
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Pages : 236
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