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Relations and SequencesCovers relations, sequences, and posets, emphasizing properties like anti-symmetry and transitivity, and introduces arithmetic and geometric progressions.
Phase Plane AnalysisCovers the analysis of phase planes for linear systems and the Poincaré-Bendixson theorem.
Algebraic Closure of QpCovers the algebraic closure of Qp and the definition of p-adic complex numbers, exploring roots' continuous dependence on coefficients.
Symmetry and Group TheoryExplores chirality, group completeness, Abelian groups, conjugate classes, and isomorphic groups in symmetry and group theory.
Completeness of LPExplores the completeness of LP, discussing implications of mathematical conditions and the convergence of series.
Introduction to Real NumbersIntroduces the axiomatic structure of real numbers and their properties, including completeness and the Archimedean property.