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 Athanase Papadopoulos - arXiv
The purpose of this paper is to show through particular examples how group theory is used in music. Examples are chosen from the theoretical work and from the compositions of Olivier Messiaen, one of the most influential twentieth century composers.
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The Handbook contains, in compact form, accurate statements of those facts and formulas of mathematics which are likely to be useful to the worker in applied mathematics. It is thought to be more comprehensive than any other similar work in English.
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