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 Evans M. Harrell II, James V. Herod
This textbook is suitable for a first course on partial differential equations, Fourier series and special functions, and integral equations. The text concentrates on mathematical concepts rather than on details of calculations.
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The book describes recent developments in inverse problems and imaging, including hybrid or couple-physics methods arising in medical imaging, Calderon's problem and electrical impedance tomography, inverse problems arising in global seismology, etc.
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This book provides an elementary course in the theory and the application of annuities certain and in the mathematical aspects of life insurance. The book is particularly adapted to the needs of students in colleges of business administration.
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