Linear Methods of Applied Mathematics
by Evans M. Harrell II, James V. Herod
This online 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, which are often done with software, such as Maple or Mathematica.
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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 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 Gunther Uhlmann - Cambridge University Press
In this book, experts in the theoretical and applied aspects of inverse problems offer extended surveys on important topics in the field, such as microlocal analysis, reflection seismology, tomography, inverse scattering, and X-ray transforms.
by Gunther Uhlmann (ed.) - Cambridge University Press
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.