Computer Arithmetic (Integers)Covers binary representation, two's complement, overflow detection, and operations in MIPS for computer arithmetic with integers.
Basic PropertiesCovers basic properties of natural numbers, including order relations and inverses.
Integers and RingsCovers integers, rings, subrings, invertibility, divisors of zero, and equivalence relations in formal fractions.
Properties of DivisionCovers the properties of division in integers and the relationship between divisibility and unique quotients.
Integers: Elementary ConceptsCovers fundamental concepts related to integers, including properties of well-ordered sets and the principle of induction.
Functions and IntegersCovers functions, integers, GCD, and reasoning by recurrence, including the Euclidean algorithm and induction principle.
Priority of OperationsExplains the importance of parentheses in simplifying mathematical operations and notations.
Operations in ZCovers addition properties and operations in the set of integers Z.
Number Theory: Operations and EquivalenceCovers operations and equivalence relations in number theory, including addition, subtraction, multiplication, division, and properties of neutral and inverse elements.