Applied analysis: mathematical methods in natural science - Softcover

Senba, Takasi

Softcover

ISBN 10: 186094440X ISBN 13: 9781860944406

Publisher: Icp, 2004

Synopsis

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.

About this title

Review

?One good feature is the rather large bibliography of mostly research papers that pertain to the applications mentioned ..."

Synopsis

Senba (Miyazaki U.) and Suzuki (Osaka U.) provide an introduction to applied mathematics in various disciplines. Topics include geometric objects, such as basic notions of vector analysis, curvature and extremals; calculus of variation including isoperimetric inequality, the direct and indirect methods, and numerical schemes; infinite dimensional a

Edition details

• Publisher: Icp
• Publication date: 2004
• Language: English
• ISBN 10: 186094440X
• ISBN 13: 9781860944406
• Binding: Paperback
• Number of pages: 392