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Number Theory: Congruence
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Elementary Algebra: Numeric Sets
Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.
Number Theory: Congruence
Covers congruence modulo m and arithmetic operations.
Rudiments of Number Theory
Introduces modulo arithmetic, Euclid's algorithm, and congruence in number theory.
Number Theory: History and Concepts
Explores the history and concepts of Number Theory, including divisibility and congruence relations.
Cartesian Product and Induction
Introduces Cartesian product and induction for proofs using integers and sets.
Number Theory: Operations and Equivalence
Covers operations and equivalence relations in number theory, including addition, subtraction, multiplication, division, and properties of neutral and inverse elements.
Modular Arithmetic: Introducing Z/mZ
Introduces Z/mZ for writing equations with congruence classes in modular arithmetic.
Computer Arithmetic (Integers)
Covers binary representation, two's complement, overflow detection, and operations in MIPS for computer arithmetic with integers.
Modular Arithmetic: Foundations and Applications
Introduces modular arithmetic, its properties, and applications in cryptography and coding theory.
Powers, Roots, etc.: Calculation Rules
Covers the rules of calculation for powers, roots, and more, focusing on positive numbers and integers.