Differentiability and LimitsExplores differentiability, limits, and open sets in multivariable functions, with a focus on local minimums and continuity.
Classification of ExtensionsExplores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.
Damped Harmonic OscillatorCovers the damped harmonic oscillator in quantum optics, discussing alternative descriptions and extensions like finite temperature.
Metric spaces: topologyCovers metric spaces and topology, exploring properties of metrics, open/closed sets, and boundaries.
Important Subsets in AnalysisCovers the definition of open balls, important subsets, interior points, open sets, closed sets, adhesion points, and border points.
Differentiability AnalysisExplores differentiability, partial derivatives, Schwarz's theorem, and function continuity in mathematical analysis.