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Applied Analysis
Mathematical Methods In Natural Science
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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.
World Scientific; January 2004
393 pages; ISBN 9781860945458
Read online, or download in secure PDF format
393 pages; ISBN 9781860945458
Read online, or download in secure PDF format
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9781860945458
9781860944406
1860945457