Engineering Analysis

PART I ORDINARY DIFFERENTIAL EQUATIONS - ADVANCED TOPICS
1. Ordinary Differential Equations and Power Series Solutions
2. The Frobenius Method
3. The Laplace Transform Method
4. Numerical Solutions of Ordinary Differential Equations

PART II FOURIER ANALYSIS
5. Fourier Series
6. Fourier Transforms

PART III PARTIAL DIFFERENTIAL EQUATIONS
7. Partial Differential Equations in Engineering
8. Separation of Variables Method
9. Separation of Variables Method - Circular and Spherical Regions
10. Integral Transform Methods
11. The Finite Difference Method

PART IV TENSOR ANALYSIS
12. Cartesian Tensors
13. Tensor Analysis

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• Engenharia: geral
• Matemática para engenheiros
• Matemática aplicada

<p>Legendre's Equation; Legendre Polynomials; Bessel's Equation; shifting theorems; forced vibration; Euler's Method; Runge-Kutta Method; Eigenfunction Expansion; wave equation; diffusion equation; steady state current flow; D'Alembert's Solution; Kronecker Delta; cartesian tensors; isotropic tensors; Gauss Theorem; Stokes Theorem; Cauchy-Riemann Equation; contour integrals; Laurent Series; bilinear transformation</p>