Analytical Methods in Applied Mathematics

Preface.- Ordinary Differential Equations.- Power Series and the Frobenius Method.- Laurent Series and Residues.- Special Functions.- Fourier, Fourier-Bessel and Fourier-Legendre Series.- Laplace and Fourier Transforms.- Sturm-Liouville Systems.- Partial Differential Equations.- Separation of Variables.- Fractional Calculus.- Applications.- Answers and Hints.- Index.

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• Análise funcional e transforma
• Cálculo e análise matemática
• Cálculo diferencial e equações
• Matemática para engenheiros
• Cálculo integral e equações

applied mathematics;analytical methods;solved problems;ordinary differential equations;partial differential equations;power series;Frobenius method;Laurent series;special functions;Fourier series;Fourier-Bessel series;Fourier-Legendre series;Laplace and Fourier transforms;Sturms-Liouville systems;fractional calculus