APPLIED ANALYSIS: MATHEMATICAL METHODS IN NATURAL SCIENCE

Inbunden, Engelska, 2004

1 629 kr

Tillfälligt slut

Beskrivning

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.Sample Chapter(s)

Produktinformation

Utgivningsdatum:2004-04-16
Mått:158 x 236 x 25 mm
Vikt:677 g
Format:Inbunden
Språk:Engelska
Antal sidor:392
Förlag:Imperial College Press
ISBN:9781860944406

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Recensioner i media

"One good feature of the book is the rather large bibliography of mostly research papers that pertain to the applications mentioned in the textual material. This feature should be a huge help in understanding the ideas and concepts presented and soften some of the abstractions ... most topics are covered in an introductory way and serve to tie together this body of mathematical methods that can serve the natural sciences." Mathematical Reviews

Innehållsförteckning

Geometric Objects; Calculus of Variation; Infinite-Dimensional Analysis; Random Motion of Particles; Linear PDE Theory; Nonlinear PDE Theory; Systems of Chemotaxis

Mer från samma författare