AuthorDenkowski, Zdzisลaw. author
TitleAn Introduction to Nonlinear Analysis: Theory [electronic resource] / by Zdzisลaw Denkowski, Stanisลaw Migรณrski, Nikolas S. Papageorgiou
ImprintBoston, MA : Springer US : Imprint: Springer, 2003
Connect tohttp://dx.doi.org/10.1007/978-1-4419-9158-4
Descript XV, 689 p. 1 illus. online resource

SUMMARY

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


CONTENT

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


SUBJECT

  1. Mathematics
  2. Mathematical analysis
  3. Analysis (Mathematics)
  4. Applied mathematics
  5. Engineering mathematics
  6. Mathematical models
  7. Geometry
  8. Calculus of variations
  9. Mathematics
  10. Analysis
  11. Calculus of Variations and Optimal Control; Optimization
  12. Geometry
  13. Mathematical Modeling and Industrial Mathematics
  14. Applications of Mathematics