Applied Analysis: Mathematical Methods In Natural Science (2nd Edition)
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A01=Takashi Suzuki
A01=Takasi Senba
Applied Analysis
Author_Takashi Suzuki
Author_Takasi Senba
Calculus of Variation
Category=PBK
Category=PDE
Chemotaxis
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eq_isMigrated=1
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Fourier Analysis
Linear and Nonlinear PDE Theory
Mathematical Modelling
Mean Field Theory
Scattering Theory
Vector Analysis
Product details
- ISBN 9781848166523
- Publication Date: 15 Mar 2011
- Publisher: Imperial College Press
- Publication City/Country: GB
- Product Form: Hardback
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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 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.
