**A Basic Course in Applied Mathematics**

by J. Bystrom, L. Persson, F. Stromberg

**Publisher**: Lulea University of Technology 2010

**Description**:

Topics covered: dimensional analysis and scaling; perturbation methods; the calculus of variations; the theory of partial differential equations; Sturm-Liouville theory, the theory for the corresponding generalized Fourier series and some further methods for solving PDE; transform theory with applications; Hamiltonian theory and isoperimetric problems; the theory of integral equations; the theory of dynamical systems, chaos, stability and bifurcations; discrete mathematics.

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