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 Thaddeus H. Black - Debian Project
The book deals with applied mathematical proofs. It emphasizes underlying mathematical motivation, without full mathematical rigor. Mathematical results are derived from applied perspective of the engineer and the scientist.
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.
by Andrew E. Blechman
The author summarizes most of the more advanced mathematical trickery seen in electrodynamics and quantum mechanics in simple and friendly terms with examples. Mathematical tools such as tensors or differential forms are covered in this text.
by Richard F. Bass
Lecture notes on mathematical finance - figuring out the price of options and derivatives. The text civers elementary probability, the binomial asset pricing model, advanced probability, the continuous model, and term structure models.