Task book-workshop for part-time students of physics and mathematics faculties of pedagogical institutes. Power of set. Metric spaces. Linear normalized spaces. Topology of metric space sets. Convergence in metric spaces. Compact metric spaces. Continuous displays of metric spaces. Complete metric spaces. Principle of compressive maps and its application. Linear functionals and operators. Jordan and Lebesgue measures. Riemann and Lebesgue integrals.