A Basic Course in Applied Mathematics
by J. Bystrom, L. Persson, F. Stromberg
Publisher: Lulea University of Technology 2010
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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by Ingrid Daubechies, Shannon Hughes - Princeton University
Designed for those who haven't had college mathematics but would like to understand some applications: Cryptography; Error correction and compression; Probability and Statistics; Birth, Growth, Death and Chaos; Graph Theory; Voting and Social Choice.
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