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- 000 01865cam a2200289 a 4500
- 008 100811s2010 enka b 001 0 eng
- 020 __ |a 9781848166523 (hardcover : alk. paper)
- 020 __ |a 1848166524 (hardcover : alk. paper)
- 040 __ |a DLC |c DLC |d DLC
- 050 00 |a QA300 |b .S3953 2010
- 245 10 |a Applied analysis : |b mathematical methods in natural science / |c Takasi Senba, Takashi Suzuki.
- 260 __ |a London : |b Imperial College Press ; |a Singapore ; |a Hackensack, NJ : |b Distributed by World Scientific Pub., |c c2010.
- 300 __ |a xiv, 515 p. : |b ill. ; |c 24 cm.
- 504 __ |a Includes bibliographical references (p. 497-503) and index.
- 520 __ |a 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.Key Feature? Two new chapters have been added
- 650 _0 |a Mathematical analysis.
- 650 _0 |a Natural history |x Mathematical models.
- 700 1_ |a Suzuki, Takashi.