Data Abstraction: Rational NumbersCovers data abstraction in rational numbers, including client's view, self-reference, preconditions, assertions, constructors, and end markers.
Relations, Sequences and SummationsCovers strings, countable sets, cardinality, and the concept of countability, exploring the countability of various sets and Cantor diagonalization.
Algebraic OperationsCovers the basic concepts of rational numbers and algebraic operations, including addition, subtraction, multiplication, and division.
Local Zeta FunctionsCovers the classification of comport p-adic fields using integration and Igusa's local zeta functions.
Decimal DevelopmentDelves into infinite decimal numbers, exploring convergence and divergence, and showcasing examples of rational and irrational numbers.
Introduction to AnalysisCovers the basics of analysis, including proofs, sets, rational and real numbers, and the concept of infimum.