This book provides a general introduction to applied analysis; vector analysis with physical motivation, calculus of variation, Fourier analysis, eigenfunction expansion, distribution, and so forth, including a catalogue of mathematical theories, such as basic analysis, topological spaces, complex function theory, real analysis, and abstract analysis. This book also uses fundamental ideas of applied mathematics to discuss recent developments in nonlinear science, such as mathematical modeling of reinforced random motion of particles, semiconductor device equation in applied physics, and chemotaxis in biology. Several tools in linear PDE theory, such as fundamental solutions, Perron's method, layer potentials, and iteration scheme, are described, as well as systematic descriptions on the recent study of the blowup of the solution.
- ISBN13 9781848166523
- Publish Date 15 March 2011
- Publish Status Active
- Publish Country GB
- Imprint Imperial College Press
- Edition 2nd Revised edition
- Format Hardcover
- Pages 532
- Language English
- URL https://worldscientific.com/worldscibooks/10.1142/p753