An Introduction to Nonlinear Analysis: Theory

Zdzislaw Denkowski, Stanislaw Migórski, Nikolaos S. Papageorgiou (Autoren)

Buch | Hardcover

690 Seiten

2003
Kluwer Academic/Plenum Publishers (Verlag)
978-0-306-47392-0 (ISBN)

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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.

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.

Zusatzinfo	XVI, 690 p.
Verlagsort	New York
Sprache	englisch
Maße	178 x 254 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	0-306-47392-5 / 0306473925
ISBN-13	978-0-306-47392-0 / 9780306473920
Zustand	Neuware