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  • Front Cover; Nonlinearity and Functional Analysis: Lectures on Nonlinear Problems in Mathematical Analysis; Copyright Page; Contents; Preface; Notation and Terminology; Suggestions for The Reader; PART I: PRELIMINARIES; Chapter 1. Background Material; Chapter 2. Nonlinear Operators; PART II: LOCAL ANALYSIS; Chapter 3. Local Analysis of a Single Mapping; Chapter 4. Parameter Dependent Perturbation Phenomena; PART III: ANALYSIS IN THE LARGE; Chapter 5. Global Theories for General Nonlinear Operators; Chapter 6. Critical Point Theory for Gradient Mappings; Appendix A. On Differentiable Manifolds.