**Textbook Title:** A Basic Course in Applied Mathematics

**Textbook Description:**

This free online textbook covers 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.

**Author:** J. Bystrom, L. Persson, F. Stromberg

**Subjects:** Mathematics

**Key words:** Mathematics, Applied Mathematics

**Download URL:** http://staff.www.ltu.se/~tomas/applmath/indexen.htm