A Short Course on Approximation Theory
by N. L. Carothers
Publisher: Bowling Green State University 2009
Number of pages: 159
This text is intended as a survey of elementary techniques in Approximation Theory for novices and non-experts. It is sufficient background to facilitate reading more advanced books on the subject. Prerequisites for a thorough understanding of the text include a first course in advanced calculus or real analysis.
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- 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 Albert Tarantola - SIAM
The first part deals with discrete inverse problems with a finite number of parameters, while the second part deals with general inverse problems. The book for scientists and applied mathematicians facing the interpretation of experimental data.
by Andrew Fowler - University of Oxford
This course develops mathematical techniques which are useful in solving 'real-world' problems involving differential equations. The course embraces the ethos of mathematical modelling, and aims to show in a practical way how equations 'work'.
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.