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.
Home page url
Download or read it online for free here:
- National Academy Press
We examine several deep theoretical problems, including turbulence and combustion. At the frontiers of attack on these problems we discover the limitations imposed by our current understanding of model formulation and computational capability.
by J. E. Parker - Bookboon
This volume is the second of a three part series of texts taken during a first-year university course. Tutorial questions with fully worked solutions structured on a weekly basis to help the students to self-pace themselves are used.
by Carlo Cattani, et al. - De Gruyter Open Ltd
The book is devoted to recent developments in the theory of fractional calculus and its applications. Particular attention is paid to the applicability of this currently popular research field in various branches of pure and applied mathematics.
by Jeffrey R. Chasnov - The Hong Kong University of Science & Technology
This applied mathematics text is primarily for final year mathematics major and minor students. The main emphasis is on mathematical modeling, with biology the sole application area. It is assumed that students have no knowledge of biology.