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 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.
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 Per Kristen Jakobsen - arXiv.org
The selection of topics in this text has formed the core of a one semester course in applied mathematics at the Arctic University of Norway. The class has, during its existence, drawn participants from both applied mathematics and physics.
by Jeremy Pickles - BookBoon
This book approaches the subject from an oft-neglected historical perspective. A particular aim is to make accessible to students Newton's vision of a single system of law governing the falling of an apple and the orbital motion of the moon.