An Introduction to Nonlinear Analysis: Theory

  • Zdzisław Denkowski
  • Stanisław Migórski
  • Nikolas S. Papageorgiou

Table of contents

  1. Front Matter
    Pages i-xv
  2. Zdzisław Denkowski, Stanisław Migórski, Nikolas S. Papageorgiou
    Pages 1-102
  3. Zdzisław Denkowski, Stanisław Migórski, Nikolas S. Papageorgiou
    Pages 103-253
  4. Zdzisław Denkowski, Stanisław Migórski, Nikolas S. Papageorgiou
    Pages 255-403
  5. Zdzisław Denkowski, Stanisław Migórski, Nikolas S. Papageorgiou
    Pages 405-516
  6. Zdzisław Denkowski, Stanisław Migórski, Nikolas S. Papageorgiou
    Pages 517-664
  7. Back Matter
    Pages 665-689

About this book

Introduction

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.

Keywords

Banach Space calculus differential equation functional analysis measure

Authors and affiliations

  • Zdzisław Denkowski
    • 1
  • Stanisław Migórski
    • 1
  • Nikolas S. Papageorgiou
    • 2
  1. 1.Faculty of Mathematics, Physics and Computer Science Institute of Computer ScienceJagiellonian UniversityCracowPoland
  2. 2.Department of MathematicsNational Technical UniversityAthensGreece

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4419-9158-4
  • Copyright Information Springer-Verlag US 2003
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-4814-6
  • Online ISBN 978-1-4419-9158-4
  • About this book