Applied Analysis: Mathematical Methods in Natural Science (2nd Edition)

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.

Author: Takashi Suzuki

Publisher: Imperial College Press

Publication Date: May 11, 2011

Number of Pages: 532 pages

Binding: Hardback or Cased Book

ISBN-10: 1848166524

ISBN-13: 9781848166523