Applied analysis : mathematical methods in natural science
Author(s)
Bibliographic Information
Applied analysis : mathematical methods in natural science
Imperial College Press, c2011
2nd ed
Available at / 22 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
SEN||8||1(2)200021320249
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Note
Includes bibliographical references (p. 497-503) and index
Description and Table of Contents
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 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.
Table of Contents
- Field Formation
- Geometric Objects
- Calculus of Variation
- Infinite-Dimensional Analysis
- Scattering
- Random Motion of Particles
- Linear PDE Theory
- Nonlinear PDE Theory.
by "Nielsen BookData"