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Applied Analysis: Mathematical Methods in Natural Science Takashi Suzuki

Applied Analysis: Mathematical Methods in Natural Science

Takashi Suzuki

Published May 11th 2011
ISBN : 9781848166523
Hardcover
515 pages
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 About the Book 

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,MoreThis 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, Perrons method, layer potentials, iteration scheme, are described, as well as systematic descriptions on the recent study of blowup of the solution.