ENGLISH

Applied Analysis: Mathematical Methods in Natural Science

By Takasi Senba , Takashi Suzuki

Book information

Publisher
World Scientific Publishing Company
Year
2004
ISBN
9781860944406, 186094440X
LCC
QA300 .S3952 2004
Open Library ID
OL19149846M
Language
english
Format
DJVU
Filesize
1 MB (1440828 bytes)
Pages
392\392
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11

Description

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 gives fundamental ideas of applied mathematics to discuss recent developments in nonlinear science, such as mathematical modeling of reinforced random motion of particles, semi-conductor device equation in applied physics, and chemotaxis in biology. Several tools in linear PDE theory, such as fundamental solutions, Perron’s method, layer potentials, iteration scheme, are described, as well as systematic descriptions on the recent study of blowup of the solution.

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