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Engineering Mathematics with Mathematica
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Introduction | Vector Algebra | Manipulating Discrete Data | Matrices | Linear and Nonlinear Equations | First-Order ODEs | Second-Order Constant-Coefficient ODEs | Laplace Transforms | The Simple Pendulum | Systems of ODEs | Numerical Solutions of ODEs | Variable Coefficient ODEs | Fourier Series | The Heat Equation | The Vibrating Bar | The Vibrating Annulus | Approximating Eigenvalues | Vector Differentiation | Coordinate Systems | Vector Functions of a Single Variable | Vector Integration | Multi-Variable Optimization | Visualizing Fields | Complex Arithmetic | Taylor and Laurent Series | Residues | Visualizing Complex Mappings | Conformal Mappings
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A supplementary text for junior/senior-level college courses in applied mathematics where Mathematica is used in a laboratory setting. Mathematical concepts are discussed within a framework of abundant engineering applications and problem-solving techniques using Mathematica.
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