Accurate models to describe real-world phenomena are indispensable for research in such scientific fields as physics, engineering, biology, chemistry, and economics. The tools and techniques of applied analysis facilitate the development of mathematical models and can thereby serve as an excellent resource forstudents and researchers in various scientific and mathematical disciplines. This self-contained, comprehensive handbook provides an in-depth examination of important theoretical methods and procedures in applied analysis. In this one volume, the reader can find many of the most important theoretical trends innonlinear analysis and applications to different fields. These features, together with an extensive bibliography, make the volume a valuable tool for everyresearcher working on nonlinear analysis. Presents an accessible introductionto modern analysis, while still serving as a useful reference for researchersand practitioners Serves as a complete guide to the theory of nonlinear analysis Includes numerous examples that demonstrate and expand upon the topics presented Suggests many directions for further research and study No other singlevolume contains such a comprehensive overview of applied analysis INDICE: Preface.- Smooth and Nonsmooth Calculus.- Extremal Problems and Optimal Control.- Nonlinear Operators and Fixed Points.- Critical Point Theory and Variational Methods.- Boundary Value Problems and Hamiltonian Systems.- Multivalued Analysis.- Economic Equilibrium and Optimal Economic Planning.- Game Theory.- Uncertainty, Information, Decision Making.- Evolution Equations.- References.- List of Symbols.- Index.
- ISBN: 978-0-387-78906-4
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 815
- Fecha Publicación: 01/06/2009
- Nº Volúmenes: 1
- Idioma: Inglés