Applied Analysis

Mathematical Methods In Natural Science (2nd Edition)

Takashi Suzuki (Osaka Univ, Japan), Takasi Senba (Kyushu Inst Of Tech, Japan)

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Hardback

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English

Imperial College Press
15 March 2011

Calculus & mathematical analysis; Maths for scientists

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.

By: Takashi Suzuki (Osaka Univ Japan), Takasi Senba (Kyushu Inst Of Tech, Japan)
Imprint: Imperial College Press
Country of Publication: United Kingdom
Edition: 2nd Revised edition
Dimensions: Height: 229mm, Width: 157mm, Spine: 33mm
Weight: 885g
ISBN: 9781848166523
ISBN 10: 1848166524
Pages: 532
Publication Date: 15 March 2011
Audience: College/higher education , Further / Higher Education
Format: Hardback
Publisher's Status: Active

Field Formation; Geometric Objects; Calculus of Variation; Infinite-Dimensional Analysis; Scattering; Random Motion of Particles; Linear PDE Theory; Nonlinear PDE Theory.