Intro; Preface; Contents; 1. Vector, metric, normed and Banach spaces; 2. Lebesgue integration; 3. The Lp spaces; 4. Linear operators; 5. Linear functionals; 6. Relatively compact sets in metric and normed spaces. Compact operators; 7. Self-adjoint operators in Hilbert spaces; 8. The method of the small parameter; 9. The parameter continuation method; 10. Fixed-point theorems and applications; A. Sets and mappings; B. Functions of bounded variation; Bibliography; Index