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题名/责任者:

Applied analysis : mathematical methods in natural science / Takasi Senba, Takashi Suzuki.

版本说明:

2nd ed.

出版发行项:

London : Imperial College Press ; Singapore ; Hackensack, NJ : Distributed by World Scientific Pub., c2010.

ISBN:

9781848166523 (hardcover : alk. paper)

ISBN:

1848166524 (hardcover : alk. paper)

载体形态项:

xiv, 515 p. : ill. ; 24 cm.

个人责任者:

Senba, Takasi.

附加个人名称:

Suzuki, Takashi.

论题主题:

Mathematical analysis.

论题主题:

Natural history-Mathematical models.

中图法分类号:

O17

书目附注:

Includes bibliographical references (p. 497-503) and index.

摘要附注:

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

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