Buch, Englisch, 690 Seiten, HC runder Rücken kaschiert, Format (B × H): 170 mm x 257 mm, Gewicht: 1380 g
Buch, Englisch, 690 Seiten, HC runder Rücken kaschiert, Format (B × H): 170 mm x 257 mm, Gewicht: 1380 g
ISBN: 978-0-306-47392-0
Verlag: Springer US
An Introduction to Nonlinear Analysis: Theory is an overview of some basic, important aspects of Nonlinear Analysis, with an emphasis on those not included in the classical treatment of the field. Today Nonlinear Analysis is a very prolific part of modern mathematical analysis, with fascinating theory and many different applications ranging from mathematical physics and engineering to social sciences and economics. Topics covered in this book include the necessary background material from topology, measure theory and functional analysis (Banach space theory). The text also deals with multivalued analysis and basic features of nonsmooth analysis, providing a solid background for the more applications-oriented material of the book An Introduction to Nonlinear Analysis: Applications by the same authors.
The book is self-contained and accessible to the newcomer, complete with numerous examples, exercises and solutions. It is a valuable tool, not only for specialists in the field interested in technical details, but also for scientists entering Nonlinear Analysis in search of promising directions for research.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Mathematische Analysis Elementare Analysis und Allgemeine Begriffe
- Mathematik | Informatik Mathematik Operations Research Spieltheorie
- Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
- Mathematik | Informatik Mathematik Geometrie Elementare Geometrie: Allgemeines
Weitere Infos & Material
List of Figures.- Preface.- Acknowledgements.- 1. Elements of Topology.- 2. Elements of Measure Theory.- 3. Banach Spaces.- 4. Set-valued Analysis.- 5. Nonsmooth Analysis.- References.- Index.
