Advanced Engineering Mathematics - Kreyszig, Erwin (Delhi Wiley India (P) Ltd., 2011)
First-Order Differential Equations Second- Order Linear Differential Equations Higher Order Linear Differential Equations Systems of Differential Equations, Phase Plane, Stability Series Solutions of Differential Equations. Special Functions Laplace Transforms Linear Algebra: Matrices, Vectors, and Determinants Vector Differential Calculus. Grad, Div, Curl Vector Integral Calculus. Integral Theorem Fourier series, Integrals and Transforms Partial Differential Equations Complex Numbers. Complex Analytic Functions Complex Integration Power Series, Taylor Series, Laurent Series Residue Integration Method Conformal Mapping Complex Analysis Applied to Potential Theory Numerical Methods in General Numerical Methods in Linear Algebra Numerical Methods for Differential Equations Unconstrained Optimization, Linear Programming Graphs and Combinatorial Optimization Probability Theory Mathematical Statistics
Keywords: Mathematics