Techniques of Applied Mathematics
by Andrew Fowler
Publisher: University of Oxford 2005
Number of pages: 141
This course develops mathematical techniques which are useful in solving 'real-world' problems involving differential equations, and is a development of ideas which arise in the second year differential equations course. The course embraces the ethos of mathematical modelling, and aims to show in a practical way how equations 'work', and what kinds of solution behaviours can occur.
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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.
by John P. Boyd - Dover Publications
The text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, cardinal functions, etc.
by Erhan Cinlar, Robert J. Vanderbei
This text covers general notions regarding sets, functions, sequences, and series; metric spaces, convergence, continuity, approximations; functions on metric spaces; differential and integral equations; convex analysis; measure and integration.
- 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.