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Differential Forms Integration
Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.
Distributions and Derivatives
Covers distributions, derivatives, convergence, and continuity criteria in function spaces.
Harmonic Forms: Main Theorem
Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.
Integration of CnR Class Functions
Explains the integration of Taylor series for CnR class functions.
Unclosed Curves Integrals
Covers the calculation of integrals over unclosed curves, focusing on essential singularities and residue calculation.
Angle Calculation on Regular Surfaces
Covers the calculation of angles between curves on regular surfaces and the concept of curvilinear abscissa.
Comparison Series and Integrals
Explores the relationship between series and integrals, highlighting convergence criteria and function examples.
Preliminaries in Measure Theory
Covers the preliminaries in measure theory, including loc comp, separable, complete metric space, and tightness concepts.
Generalized Integrals: Type 2
Covers the integration of limit expansions and continuous functions by pieces.