Nonlinear Functional Analysis and Applications
eBook - PDF

Nonlinear Functional Analysis and Applications

Proceedings of an Advanced Seminar Conducted by the Mathematics Research Center, the University of Wisconsin, Madison, October 12-14, 1970

  1. 594 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Nonlinear Functional Analysis and Applications

Proceedings of an Advanced Seminar Conducted by the Mathematics Research Center, the University of Wisconsin, Madison, October 12-14, 1970

About this book

Nonlinear Functional Analysis and Applications provides information pertinent to the fundamental aspects of nonlinear functional analysis and its application. This book provides an introduction to the basic concepts and techniques of this field. Organized into nine chapters, this book begins with an overview of the possibilities for applying ideas from functional analysis to problems in analysis. This text then provides a systematic exposition of several aspects of differential calculus in norms and topological linear spaces. Other chapters consider the various settings in nonlinear functional analysis in which differentials play a significant role. This book discusses as well the generalized inverse for a bounded linear operator, whose range is not necessarily closed. The final chapter deals with the equations of hydrodynamics, which are usually highly nonlinear and difficult to solve. This book is a valuable resource for mathematicians. Readers who are interested in nonlinear functional analysis will also find this book useful.

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Yes, you can access Nonlinear Functional Analysis and Applications by Louis B. Rall in PDF and/or ePUB format, as well as other popular books in Mathematics & Calculus. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
Print ISBN
9780125763509
eBook ISBN
9781483272443
Topic
Mathematics
Subtopic
Calculus
Index
Mathematics

Table of contents

  1. Front Cover
  2. Nonlinear Functional Analysis and Applications
  3. Copyright Page
  4. Table of Contents
  5. Preface
  6. Chapter 1. Some Applications of Functional Analysis to Analysis, Particularly to Nonlinear Integral Equations
  7. Chapter 2. The Differentiation and Integration of Nonlinear Operators
  8. Chapter 3. Differentiability and Related Properties of Nonlinear Operators: Some Aspects of the Role of Differentials in Nonlinear Functional Analysis
  9. Chapter 4. Generalized Inverses, Normal Solvability, and Iteration for Singular Operator Equations
  10. Chapter 5. On Polynomial Operators and Equations
  11. Chapter 6. Applications and Methods for the Minimization of Functionate
  12. Chapter 7. Toward a Unified Convergence Theory for Newton-Like Methods
  13. Chapter 8. Operator Solutions of Nonlinear Equations in Optimal Control Problems
  14. Chapter 9. Complementary Variational Principles
  15. Index